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19 pages, 11852 KiB  
Article
Thermal Monitoring of an Internal Combustion Engine for Lightweight Fixed-Wing UAV Integrating PSO-Based Modelling with Condition-Based Extended Kalman Filter
by Aleksander Suti, Gianpietro Di Rito and Giuseppe Mattei
Drones 2024, 8(10), 531; https://doi.org/10.3390/drones8100531 - 29 Sep 2024
Viewed by 888
Abstract
The internal combustion engines of long-endurance UAVs are optimized for cruises, so they are prone to overheating during climbs, when power requests increase. To counteract the phenomenon, step-climb maneuvering is typically operated, but the intermittent high-power requests generate repeated heating–cooling cycles, which, over [...] Read more.
The internal combustion engines of long-endurance UAVs are optimized for cruises, so they are prone to overheating during climbs, when power requests increase. To counteract the phenomenon, step-climb maneuvering is typically operated, but the intermittent high-power requests generate repeated heating–cooling cycles, which, over multiple missions, may promote thermal fatigue, performance degradation, and failure. This paper deals with the development of a model-based monitoring of the cylinder head temperature of the two-stroke engine employed in a lightweight fixed-wing long-endurance UAV, which combines a 0D thermal model derived from physical first principles with an extended Kalman filter capable to estimate the head temperature under degraded conditions. The parameters of the dynamic model, referred to as nominal condition, are defined through a particle-swarm optimization, minimizing the mean square temperature error between simulated and experimental flight data (obtaining mean and peak errors lower than 3% and 10%, respectively). The validated model is used in a so-called condition-based extended Kalman filter, which differs from a conventional one for a correction term in section prediction, leveraged as degradation symptom, based on the deviation of the model-state derivative with respect to the actual measurement. The monitoring algorithm, being executable in real-time and capable of identifying incipient degradations of the thermal flow, demonstrates applicability for online diagnostics and predictive maintenance purposes. Full article
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Figure 1

Figure 1
<p>UAV Rapier X-25, manufactured by Sky Eye Systems (Foligno, Italy).</p>
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<p>Schematic of the reference propulsion system.</p>
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<p>Thermal flows in the combustion chamber: (<b>a</b>) reference scheme of heat transfer from the chamber walls to environment; (<b>b</b>) in-cylinder thermodynamic process.</p>
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<p>CBEKF block diagram.</p>
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<p>Example of a measurement quantization (<span class="html-italic">b</span> = 0.5) with raw and sigmoid-based transition at <span class="html-italic">a</span> = 100 (<b>top</b>) and measurement sigmoid-based derivative with respect to state (<b>bottom</b>).</p>
Full article ">Figure 6
<p>Experimental and simulated CHT time histories: (<b>a</b>) FM1, (<b>b</b>) FM2, (<b>c</b>) errors.</p>
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<p>CHT estimation with degradation injection (DI) at <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>γ</mi> </mrow> <mrow> <mi>Q</mi> </mrow> </msub> <mo>=</mo> <mn>1.1</mn> <mo>,</mo> <mtext> </mtext> <msub> <mrow> <mtext> </mtext> <mi>γ</mi> </mrow> <mrow> <mi>D</mi> </mrow> </msub> <mo>=</mo> <mn>1</mn> </mrow> </semantics></math>: (<b>a</b>) whole time history; (<b>b</b>) detail on nominal conditions regime; (<b>c</b>) detail on degraded conditions regime.</p>
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<p>CHT estimation with degradation injection (DI) at <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>γ</mi> </mrow> <mrow> <mi>Q</mi> </mrow> </msub> <mo>=</mo> <mn>1.5</mn> <mo>,</mo> <mtext> </mtext> <msub> <mrow> <mtext> </mtext> <mi>γ</mi> </mrow> <mrow> <mi>D</mi> </mrow> </msub> <mo>=</mo> <mn>1</mn> </mrow> </semantics></math>: (<b>a</b>) whole time history; (<b>b</b>) detail on nominal conditions regime; (<b>c</b>) detail on degraded conditions regime.</p>
Full article ">Figure 9
<p>Estimation error with CBEKF-AU strategy at increasing values of <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>γ</mi> </mrow> <mrow> <mi>Q</mi> </mrow> </msub> </mrow> </semantics></math> (<math display="inline"><semantics> <mrow> <msub> <mrow> <mi>γ</mi> </mrow> <mrow> <mi>D</mi> </mrow> </msub> <mo>=</mo> <mn>1</mn> </mrow> </semantics></math>).</p>
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<p>Model-deviation term with degradation injection (DI) at <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>γ</mi> </mrow> <mrow> <mi>Q</mi> </mrow> </msub> <mo>=</mo> <mn>1.1</mn> <mtext> </mtext> <mfenced separators="|"> <mrow> <mi>s</mi> <mi>o</mi> <mi>l</mi> <mi>i</mi> <mi>d</mi> <mtext> </mtext> <mi>l</mi> <mi>i</mi> <mi>n</mi> <mi>e</mi> </mrow> </mfenced> <mo> </mo> <mi mathvariant="normal">a</mi> <mi mathvariant="normal">n</mi> <mi mathvariant="normal">d</mi> <mo> </mo> <msub> <mrow> <mi>γ</mi> </mrow> <mrow> <mi>Q</mi> </mrow> </msub> <mo>=</mo> <mn>1.5</mn> <mtext> </mtext> <mfenced separators="|"> <mrow> <mi>d</mi> <mi>o</mi> <mi>t</mi> <mi>t</mi> <mi>e</mi> <mi>d</mi> <mtext> </mtext> <mi>l</mi> <mi>i</mi> <mi>n</mi> <mi>e</mi> </mrow> </mfenced> <mo>,</mo> <mo> </mo> <msub> <mrow> <mo stretchy="false">(</mo> <mi>γ</mi> </mrow> <mrow> <mi>D</mi> </mrow> </msub> <mo>=</mo> <mn>1</mn> <mo stretchy="false">)</mo> </mrow> </semantics></math>.</p>
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<p>Model-deviation term derivative 10 s after the degradation injection.</p>
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<p>Flight measurements during FM1 and FM2: (<b>a</b>) throttle position; (<b>b</b>) ICE angular speed.</p>
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<p>Flight measurements during FM1 and FM2: (<b>a</b>) altitude; (<b>b</b>) calibrated airspeed.</p>
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<p>Flight measurements during FM1 and FM2: (<b>a</b>) CHT; (<b>b</b>) outside air temperature.</p>
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<p>Heat-generated power at sea level as a function of throttle position and angular speed.</p>
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<p>PSO cost function (blue line) and elapsed time per iteration (red line).</p>
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17 pages, 4789 KiB  
Article
Unsteady Lifting-Line Free-Wake Aerodynamic Modeling for Morphing Wings
by Gregorio Frassoldati, Riccardo Giansante, Giovanni Bernardini and Massimo Gennaretti
Aerospace 2024, 11(9), 745; https://doi.org/10.3390/aerospace11090745 - 11 Sep 2024
Viewed by 923
Abstract
A time-stepping, lifting-line solution algorithm for the prediction of the unsteady aerodynamics of morphing wings is presented. The velocity induced by the wake vorticity is determined through a free-wake vortex-lattice model, whereas the Küssner and Schwarz’s unsteady airfoil theory is used to evaluate [...] Read more.
A time-stepping, lifting-line solution algorithm for the prediction of the unsteady aerodynamics of morphing wings is presented. The velocity induced by the wake vorticity is determined through a free-wake vortex-lattice model, whereas the Küssner and Schwarz’s unsteady airfoil theory is used to evaluate the sectional loads, and the generalized aerodynamic loads related to body deformation including camber morphing. The wake vorticity released at the trailing edge derives from the bound circulation and is convected downstream as a vortex ring to form the vortex-lattice wake structure. The local bound circulation is obtained by the application of the Kutta–Joukowski theorem extended to unsteady flows. The accuracy of the loads predicted by the proposed solver is assessed by comparison with the predictions obtained by a three-dimensional boundary-element-method solver for potential flows. The two sets of results agree very well for a wide range of reduced frequencies. Full article
(This article belongs to the Section Aeronautics)
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Figure 1

Figure 1
<p>Scheme of the iterative process.</p>
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<p>Shape functions used for the present numerical investigations.</p>
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<p>Transfer function <math display="inline"><semantics> <mrow> <msub> <mi>E</mi> <mn>11</mn> </msub> <mrow> <mo>(</mo> <mi>k</mi> <mo>)</mo> </mrow> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <mi>l</mi> <mo>=</mo> <mn>5</mn> <mspace width="0.166667em"/> <mi mathvariant="normal">m</mi> </mrow> </semantics></math>.</p>
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<p>Transfer function <math display="inline"><semantics> <mrow> <msub> <mi>E</mi> <mn>12</mn> </msub> <mrow> <mo>(</mo> <mi>k</mi> <mo>)</mo> </mrow> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <mi>l</mi> <mo>=</mo> <mn>5</mn> <mspace width="0.166667em"/> <mi mathvariant="normal">m</mi> </mrow> </semantics></math>.</p>
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<p>Transfer function <math display="inline"><semantics> <mrow> <msub> <mi>E</mi> <mn>21</mn> </msub> <mrow> <mo>(</mo> <mi>k</mi> <mo>)</mo> </mrow> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <mi>l</mi> <mo>=</mo> <mn>5</mn> <mspace width="0.166667em"/> <mi mathvariant="normal">m</mi> </mrow> </semantics></math>.</p>
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<p>Transfer function <math display="inline"><semantics> <mrow> <msub> <mi>E</mi> <mn>22</mn> </msub> <mrow> <mo>(</mo> <mi>k</mi> <mo>)</mo> </mrow> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <mi>l</mi> <mo>=</mo> <mn>5</mn> <mspace width="0.166667em"/> <mi mathvariant="normal">m</mi> </mrow> </semantics></math>.</p>
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<p>Transfer function <math display="inline"><semantics> <mrow> <msub> <mi>E</mi> <mn>13</mn> </msub> <mrow> <mo>(</mo> <mi>k</mi> <mo>)</mo> </mrow> </mrow> </semantics></math>, third bending mode shape functions, <math display="inline"><semantics> <mrow> <mi>l</mi> <mo>=</mo> <mn>5</mn> <mspace width="0.166667em"/> <mi mathvariant="normal">m</mi> </mrow> </semantics></math>.</p>
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<p>Transfer function <math display="inline"><semantics> <mrow> <msub> <mi>E</mi> <mn>14</mn> </msub> <mrow> <mo>(</mo> <mi>k</mi> <mo>)</mo> </mrow> </mrow> </semantics></math>, fourth bending mode shape functions, <math display="inline"><semantics> <mrow> <mi>l</mi> <mo>=</mo> <mn>5</mn> <mspace width="0.166667em"/> <mi mathvariant="normal">m</mi> </mrow> </semantics></math>.</p>
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<p>Transfer function <math display="inline"><semantics> <mrow> <msub> <mi>E</mi> <mn>11</mn> </msub> <mrow> <mo>(</mo> <mi>k</mi> <mo>)</mo> </mrow> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <mi>l</mi> <mo>=</mo> <mn>10</mn> <mspace width="0.166667em"/> <mi mathvariant="normal">m</mi> </mrow> </semantics></math>.</p>
Full article ">Figure 10
<p>Transfer function <math display="inline"><semantics> <mrow> <msub> <mi>E</mi> <mn>12</mn> </msub> <mrow> <mo>(</mo> <mi>k</mi> <mo>)</mo> </mrow> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <mi>l</mi> <mo>=</mo> <mn>10</mn> <mspace width="0.166667em"/> <mi mathvariant="normal">m</mi> </mrow> </semantics></math>.</p>
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<p>Transfer function <math display="inline"><semantics> <mrow> <msub> <mi>E</mi> <mn>21</mn> </msub> <mrow> <mo>(</mo> <mi>k</mi> <mo>)</mo> </mrow> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <mi>l</mi> <mo>=</mo> <mn>10</mn> <mspace width="0.166667em"/> <mi mathvariant="normal">m</mi> </mrow> </semantics></math>.</p>
Full article ">Figure 12
<p>Transfer function <math display="inline"><semantics> <mrow> <msub> <mi>E</mi> <mn>22</mn> </msub> <mrow> <mo>(</mo> <mi>k</mi> <mo>)</mo> </mrow> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <mi>l</mi> <mo>=</mo> <mn>10</mn> <mspace width="0.166667em"/> <mi mathvariant="normal">m</mi> </mrow> </semantics></math>.</p>
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<p>Transfer function <math display="inline"><semantics> <mrow> <msub> <mi>E</mi> <mn>13</mn> </msub> <mrow> <mo>(</mo> <mi>k</mi> <mo>)</mo> </mrow> </mrow> </semantics></math>, third bending mode shape functions, <math display="inline"><semantics> <mrow> <mi>l</mi> <mo>=</mo> <mn>10</mn> <mspace width="0.166667em"/> <mi mathvariant="normal">m</mi> </mrow> </semantics></math>.</p>
Full article ">Figure 14
<p>Transfer function <math display="inline"><semantics> <mrow> <msub> <mi>E</mi> <mn>14</mn> </msub> <mrow> <mo>(</mo> <mi>k</mi> <mo>)</mo> </mrow> </mrow> </semantics></math>, fourth bending mode shape functions, <math display="inline"><semantics> <mrow> <mi>l</mi> <mo>=</mo> <mn>10</mn> <mspace width="0.166667em"/> <mi mathvariant="normal">m</mi> </mrow> </semantics></math>.</p>
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<p>Lift response to damped first Lagrangian coordinate. Time history for <math display="inline"><semantics> <mrow> <mi>k</mi> <mo>=</mo> <mn>1.0</mn> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <mi>l</mi> <mo>=</mo> <mn>5</mn> <mspace width="0.166667em"/> <mi mathvariant="normal">m</mi> </mrow> </semantics></math>.</p>
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<p>Lift response to damped third Lagrangian coordinate. Time history for <math display="inline"><semantics> <mrow> <mi>k</mi> <mo>=</mo> <mn>1.0</mn> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <mi>l</mi> <mo>=</mo> <mn>5</mn> <mspace width="0.166667em"/> <mi mathvariant="normal">m</mi> </mrow> </semantics></math>.</p>
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<p>Free-wake shape due to plunging motion, <math display="inline"><semantics> <mrow> <mi>l</mi> <mo>=</mo> <mn>5</mn> <mspace width="0.166667em"/> <mi mathvariant="normal">m</mi> </mrow> </semantics></math>.</p>
Full article ">Figure 18
<p>Lift response to damped first Lagrangian coordinate, <math display="inline"><semantics> <mrow> <mi>l</mi> <mo>=</mo> <mn>5</mn> <mspace width="0.166667em"/> <mi mathvariant="normal">m</mi> </mrow> </semantics></math>. Time histories for <math display="inline"><semantics> <mrow> <msub> <mi>h</mi> <mn>0</mn> </msub> <mo>=</mo> <mn>0.1</mn> </mrow> </semantics></math> m and <math display="inline"><semantics> <mrow> <mi>k</mi> <mo>=</mo> <mn>1.0</mn> </mrow> </semantics></math> (left-hand-side picture), and for <math display="inline"><semantics> <mrow> <msub> <mi>h</mi> <mn>0</mn> </msub> <mo>=</mo> <mn>0.05</mn> </mrow> </semantics></math> m and <math display="inline"><semantics> <mrow> <mi>k</mi> <mo>=</mo> <mn>0.5</mn> </mrow> </semantics></math> (right-hand-side picture).</p>
Full article ">
27 pages, 6996 KiB  
Article
Practical Design of a Low-Cost Icing Wind Tunnel for Unmanned Aerial Vehicle Testing in a Limited Space
by Juan Carlos Plaza del Pino, Félix Terroba Ramírez, Adelaida García-Magariño, Ricardo Atienza Pascual and Julio Mora Nogués
Appl. Sci. 2024, 14(16), 6928; https://doi.org/10.3390/app14166928 - 7 Aug 2024
Viewed by 1246
Abstract
Ice accretion on aircrafts due to atmospheric conditions is still a relevant research topic, especially in the case of Unmanned Aerial Vehicles (UAVs), due to their smaller size and the relative underdevelopment of ice protection systems (anti-icing and de-icing) for these aircraft. For [...] Read more.
Ice accretion on aircrafts due to atmospheric conditions is still a relevant research topic, especially in the case of Unmanned Aerial Vehicles (UAVs), due to their smaller size and the relative underdevelopment of ice protection systems (anti-icing and de-icing) for these aircraft. For the research and development of these systems, it is necessary to assess their performance in icing wind tunnels (IWTs), which are generally high-cost facilities. This article describes the design and building process of a new IWT for testing fixed-wing UAVs, aimed at cost reduction and restricted to an existing cold climate chamber of limited size. The designed IWT is an open-circuit type with two corners, a test section size of 0.40 m × 0.27 m and speed up to 70 m/s. The design process employs widely used and proven semi-empirical formulas, supported by detailed calculations using Computational Fluid Dynamics (CFD) tools, to achieve a test section core of useful quality and avoid flow separation. Theoretical limits with respect to a usable droplet size and Liquid Water Content (LWC) are calculated, and the test section core is estimated. The design process followed proves to be a very good approach to the design and aerodynamic optimisation of a low-cost IWT. Full article
(This article belongs to the Section Applied Physics General)
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Figure 1

Figure 1
<p>UAX wind tunnel and INTA icing wind tunnel (IWT).</p>
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<p>Phases of the design process.</p>
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<p>Designed IWT in the refrigerated chamber.</p>
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<p>SIVA Unmanned Aerial Vehicle (UAV).</p>
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<p>Effective blocking speed (v<sub>uncorrected</sub> = 70 m/s) and Reynolds number for different scales in the UAV SIVA wing.</p>
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<p>IWT sections.</p>
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<p>Pressure losses with fan diameter.</p>
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<p>Straight IWT without corners.</p>
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<p>Development of velocity and temperature of droplets for different diameters.</p>
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<p>Minimum droplet diameter for impingement with different scales of SIVA wing aerofoil.</p>
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<p>Cooling power required for ΔT = −22 °C and 70 m/s.</p>
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<p>Maximum LWC with a cooling power of 11.5 kW.</p>
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<p>CFD simulation of the IWT with boundaries and inflation detail.</p>
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<p>Drop of pressure along the IWT.</p>
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<p>Rounded inlet.</p>
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<p>Air intake in the inlet section for different angles of a rounded inlet.</p>
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<p>Air intake in the inlet section for different radii of a rounded inlet.</p>
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<p>Contraction section or nozzle.</p>
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<p>Horizontal buoyancy in the test section.</p>
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<p>Flow quality in the test section.</p>
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<p>IWT before painting.</p>
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<p>Final IWT in the cold climate chamber.</p>
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17 pages, 9263 KiB  
Article
Development and Manufacturing of a Fibre Reinforced Thermoplastic Composite Spar Produced by Oven Vacuum Bagging
by Helena Rocha, Agnieszka Rocha, Joana Malheiro, Bruno Sousa, Andreia Vilela, Filipa Carneiro and Paulo Antunes
Polymers 2024, 16(15), 2216; https://doi.org/10.3390/polym16152216 - 3 Aug 2024
Viewed by 1474
Abstract
The limited recyclability of fibre-reinforced thermoset composites has fostered the development of alternative thermoplastic-based composites and their manufacturing processes. The most common thermoplastic-based composites are often costly due to their availability in the form of prepreg materials and to the high pressure and [...] Read more.
The limited recyclability of fibre-reinforced thermoset composites has fostered the development of alternative thermoplastic-based composites and their manufacturing processes. The most common thermoplastic-based composites are often costly due to their availability in the form of prepreg materials and to the high pressure and temperatures required for their manufacturing. Yet, the manufacturing of economic and recyclable composites, made of semi-preg composite materials using traditional composite manufacturing technologies, has only been proved at a laboratory scale through the manufacturing of flat plates. This work reports the manufacturing of a real structural part, a wing spar section with complex geometry, made of commingled polyamide 12 (PA12) fibres and carbon fibres (CFs) semi-preg and by oven vacuum bagging (OVB). The composite layup was studied using finite element analysis, and processing simulation assisted in the determination of the PA12/CF preform for OVB. Processing of two forms of semi-preg materials was first evaluated and optimised. The material selection for part manufacturing was mainly defined by the materials’ processability. The spar section was manufactured in two OVB stages and was then mechanically tested. The mechanical test showed a linear strain response of the prototype up to the maximum load and validated the optimised layup configuration of the composite structure. Full article
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Figure 1

Figure 1
<p>Processing simulation model: (<b>a</b>) vertical press machine approach; (<b>b</b>) composite part geometry.</p>
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<p>Numerical model of the spar. Composite in grey with the orientation of the fibres (1 and 2 corresponding to 0° and 90°) and aluminium loading block and inserts in green. Load of 310 N applied to the spar extremity.</p>
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<p>Open aluminium mould for manufacturing of a spar partition with a bulky wedge and C-section by OVB.</p>
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<p>First stage of consolidation by OVB: (<b>a</b>) stacking of PA12/CF semi-preg layers over the mould; (<b>b</b>) placement of perforated film; and (<b>c</b>) sealed vacuum bag system for consolidation in the oven.</p>
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<p>(<b>a</b>) Structural foam and inserts placed in the cavity to form the bulky section of the spar; (<b>b</b>) coverage of the structural foam to produce the spar section with a bulky wedge.</p>
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<p>(<b>a</b>) Schematic representation and (<b>b</b>) real locations of strain gauges in the spar section part.</p>
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<p>Finalised section of the spar part assembled in the mechanical testing apparatus.</p>
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<p>Optical micrographs of the composite plates cross-section: (<b>a</b>) PA11/CF produced at 230 °C during 86 min; (<b>b</b>) PA12/CF produced at 230 °C during 86 min; (<b>c</b>) PA11/CF produced at 230 °C during 135 min; (<b>d</b>) PA12/CF produced at 230 °C during 135 min; (<b>e</b>) PA11/CF produced at 250 °C during 70 min; (<b>f</b>) PA12/CF produced at 250 °C during 70 min.</p>
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<p>Optimised preform geometry with fixation points.</p>
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<p>Conformation results obtained by the simulation of the optimised preform: (<b>a</b>) total stress distribution (GPa); (<b>b</b>) fibre angle distribution (°); (<b>c</b>) thickness variation (mm/ply).</p>
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<p>Distribution of Tsai–Hill criterion in the composite subjected to the 310 N loading. Please note that the scale was limited to 0.0625, which corresponds to a safety factor of 4. The grey-coloured areas present regions where the safety factor is below 4.</p>
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<p>Distribution of strains in the spar: (<b>a</b>) longitudinal strain; (<b>b</b>) transversal strain.</p>
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<p>Demoulded part in (<b>a</b>,<b>b</b>), where it is possible to see some wrinkles resultant from OVB process in (<b>c</b>,<b>d</b>).</p>
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<p>Finalised section of the spar part with drilled inserts and aluminium accessory for mechanical testing.</p>
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<p>Comparison of strain measured during mechanical testing of the prototype with simulated values: at locations presented for strain gauges 1–4 ((<b>a</b>–<b>d</b>), respectively), in the longitudinal (along the length of the spar section) and transverse direction. Note that the presented values for SG3 in the longitudinal direction and SG4 in the transverse direction are compressive strains.</p>
Full article ">
21 pages, 13293 KiB  
Article
Wind Tunnel Experiment and Numerical Simulation of Secondary Flow Systems on a Supersonic Wing
by Sheng Zhang, Zheng Lin, Zeming Gao, Shuai Miao, Jun Li, Lifang Zeng and Dingyi Pan
Aerospace 2024, 11(8), 618; https://doi.org/10.3390/aerospace11080618 - 28 Jul 2024
Viewed by 1514
Abstract
Aircraft secondary flow systems are small-flow circulation devices that are used for thermal and cold management, flow control, and energy generation on aircraft. The aerodynamic characteristics of main-flow-based inlets have been widely studied, but the secondary-flow-based small inlets, jets, and blowing and suction [...] Read more.
Aircraft secondary flow systems are small-flow circulation devices that are used for thermal and cold management, flow control, and energy generation on aircraft. The aerodynamic characteristics of main-flow-based inlets have been widely studied, but the secondary-flow-based small inlets, jets, and blowing and suction devices have seldom been studied. Two types of secondary flow systems embedded in a supersonic aircraft wing, a ram-air intake and a submerged intake, are researched here. Firstly, wind tunnel tests under subsonic, transonic, and supersonic conditions are carried out to test the total pressure recovery and total pressure distortion. Secondly, numerical simulations are used to analyze the flow characteristics in the secondary flow systems. The numerical results are validated with experimental data. The calculating errors of the total pressure recovery on the ram-air and submerged secondary flow systems are 8% and 10%, respectively. The simulation results demonstrate that the total pressure distortion tends to grow while the total pressure recovery drops with the increasing Mach number. As the Mach number increases from 0.4 to 2, the total pressure recovery of the ram-air secondary flow system decreases by 68% and 71% for the submerged system. Moreover, the total pressure distortion of the ram-air and submerged secondary flow systems is increased by 19.7 times and 8.3 times, respectively. Thirdly, a detailed flow mechanism is studied based on the simulation method. It is found that the flow separation at the front part of the tube is induced by adverse pressure gradients, which primarily determine the total pressure recovery at the outlet. The three-dimensional vortex in the tube is mainly caused by the change in cross-sectional shape, which influences the total pressure distortion. Full article
(This article belongs to the Special Issue Recent Advances in Applied Aerodynamics)
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<p>Geometry of wing leading edge.</p>
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<p>Geometrical models of the secondary flow systems: (<b>a</b>) ram-air secondary flow system, (<b>b</b>) submerged secondary flow system (length unit is mm).</p>
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<p>The area distribution of secondary flow systems.</p>
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<p>Parameters of the centerline.</p>
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<p>Schematic diagram of the cylindrical tube and the monitoring surface.</p>
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<p>Test models of secondary flow systems installation on the wind tunnel test section: (<b>a</b>) ram-air secondary flow system, (<b>b</b>) submerged secondary flow system, (<b>c</b>) test model installation on the wind tunnel test section.</p>
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<p>Locations of measuring points at the total pressure rake.</p>
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<p>Calculating mesh and boundary conditions.</p>
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<p>Comparison of experimental and simulation total pressure recovery: (<b>a</b>) ram-air secondary flow system, (<b>b</b>) submerged secondary flow system.</p>
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<p>Comparison of experimental and simulation total pressure distortion coefficients: (<b>a</b>) ram-air secondary flow system, (<b>b</b>) submerged secondary flow system.</p>
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<p>Pressure coefficient distributions on the wing surface of the ram-air secondary flow systems at (<b>a</b>) Mach number 0.4, (<b>b</b>) Mach number 0.8, (<b>c</b>) Mach number 1.1, (<b>d</b>) Mach number 1.5, (<b>e</b>) Mach number 2.0.</p>
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<p>Intake streamlines of the ram-air secondary flow system.</p>
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<p>Schematic illustration of the analyzed cross-sections in the tube of the ram-air secondary flow system (named Slice 1, Slice 2, etc.).</p>
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<p>The curve of pressure changes along the tube of the ram-air secondary flow system.</p>
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<p>The streamlines inside the tube and the total pressure recovery distributions of nine flow field Slices in the ram-air secondary flow tube at (<b>a</b>) Mach number 0.4, (<b>b</b>) Mach number 0.8, (<b>c</b>) Mach number 1.1, (<b>d</b>) Mach number 1.5, (<b>e</b>) Mach number 2.0.</p>
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<p>Pressure coefficient distribution on the wing surfaces of the submerged secondary flow system at (<b>a</b>) Mach number 0.4, (<b>b</b>) Mach number 0.8, (<b>c</b>) Mach number 1.1, (<b>d</b>) Mach number 1.5, (<b>e</b>) Mach number 2.0.</p>
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<p>Flow streamlines at the intake of the submerged secondary flow system: (<b>a</b>) vertical z-axis direction view, (<b>b</b>) isometric view.</p>
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<p>Flow streamlines at the intake of the submerged secondary flow system: (<b>a</b>) vertical z-axis direction view, (<b>b</b>) isometric view.</p>
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<p>Schematic illustration of the analyzed cross-sections in the tube of the submerged secondary flow system (named Slice 1, Slice 2, etc.).</p>
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<p>The curve of pressure changes along the tube of the submerged secondary flow system.</p>
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<p>The streamlines inside the tube and the total pressure recovery distributions of nine flow field Slices in the submerged secondary flow tube at (<b>a</b>) Mach number 0.4, (<b>b</b>) Mach number 0.8, (<b>c</b>) Mach number 1.1, (<b>d</b>) Mach number 1.5, (<b>e</b>) Mach number 2.0.</p>
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13 pages, 1723 KiB  
Article
The Coupled Wing Morphing of Ornithopters Improves Attitude Control and Agile Flight
by Yu Cai, Guangfa Su, Jiannan Zhao and Shuang Feng
Machines 2024, 12(7), 486; https://doi.org/10.3390/machines12070486 - 19 Jul 2024
Viewed by 1361
Abstract
Bird wings are exquisite mechanisms integrated with multiple morphological deformation joints. The larger avian species are particularly adept at utilizing their wings’ flapping, folding, and twisting motions to control the wing angle and area. These motions mainly involve different types of spanwise folding [...] Read more.
Bird wings are exquisite mechanisms integrated with multiple morphological deformation joints. The larger avian species are particularly adept at utilizing their wings’ flapping, folding, and twisting motions to control the wing angle and area. These motions mainly involve different types of spanwise folding and chordwise twisting. It is wondered whether the agile maneuverability of birds is based on the complex coupling of these wing morphing changes. To investigate this issue, we designed a two-section wing structure ornithopter capable of simultaneously controlling both spanwise folding and chordwise twisting and applied it to research on heading control. The experimental data collected from outdoor flights describe the differing flight capabilities between the conventional and two-section active twist wing states, indicating that incorporating an active twist structure enhances the agility and maneuverability of this novel flapping aircraft. In the experiments on yaw control, we observed some peculiar phenomena: although the twisting motion of the active twist ornithopter wings resembles that of a fixed-wing aileron control, due to the intricate coupling of the wing flapping and folding, the ornithopter, under the control of active twist structures, exhibited a yaw direction opposite to the expected direction (directly applying the logic assumed by the fixed-wing aileron control). Addressing this specific phenomenon, we provide a plausible model explanation. In summary, our study with active twist mechanisms on ornithopters corroborates the positive impact of active deformation on their attitude agility, which is beneficial for the design of similar bio-inspired aircraft in the future. Full article
(This article belongs to the Special Issue Advances and Applications in Unmanned Aerial Vehicles)
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<p>Geometric morphology of bird wing motion, where the first row depicts simplified schematic diagrams of motion, and the second row shows corresponding bird flight forms. (<b>a</b>) The up-and-down flapping of the wings without static geometric deformation. (<b>b</b>) Spanwise extension–retraction of the wings. (<b>c</b>) Spanwise folding of the wings, folding upwards and downwards. (<b>d</b>) Chordwise twisting of the wings. (<b>e</b>) Flapping flight mode, exemplified by hummingbirds, where the wings do not undergo static deformation. (<b>f</b>) Spanwise extension–retraction flight mode, exemplified by peregrine falcons. (<b>g</b>) Spanwise folding flight mode, represented by albatrosses with large wing spans. (<b>h</b>) Flight mode of pigeons, enhancing agility through chordwise twisting during flight [<a href="#B8-machines-12-00486" class="html-bibr">8</a>].</p>
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<p>(<b>a</b>) Skeletal structure of an ornithopter. The power system motor and variable speed gears form a set of variable speed systems. The left wing has a three-stage transmission, and the right wing has a four-stage transmission. (<b>b</b>) Diagram of the effect of the twisted wing structure in action (with fuselage coordinates, originating at the center of mass of the ornithopter). (<b>c</b>) Twisted wing structure, a four-bar linkage servo arm (blue), linkage on the wing spar (green), connecting bar (light blue), and virtual linkage between wing spar and servo arm root. (<b>d</b>) Diagram of the change in the center position of the flapping wing craft with the flapping of the wings. The blue color is for a two-section wing flap ornithopter, and the red color is for a single-ended wing flap of the same size. (<b>e</b>) Definition of the coordinates of the tail–fuselage junction.</p>
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<p>(<b>a</b>) Experimental force analysis of ornithopters under ANIPRO RL4 turntable system allows for the measurement of the lift and thrust forces experienced by the ornithopters under specific conditions, accompanied by a dynamic capture system to measure the flapping frequency of the ornithopters. (<b>b</b>) The relationship between flapping frequency and thrust coefficient (<math display="inline"><semantics> <msub> <mi>C</mi> <mi>T</mi> </msub> </semantics></math>) of ornithopters at different airspeeds. (<b>c</b>) The relationship between relative airspeed and lift coefficient (<math display="inline"><semantics> <msub> <mi>C</mi> <mi>L</mi> </msub> </semantics></math>) of the ornithopter at various flapping frequencies.</p>
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<p>(<b>a</b>,<b>b</b>) The outdoor flight experiments of two-section wing ornithopter.</p>
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<p>Graph of the relationship between the attitude of an ornithopter and control signals. (<b>a</b>) Roll angle and tail wing Z-axis control signal for the ornithopter. (<b>b</b>) The linear regression plot of roll angle against Z-axis control signal. (<b>c</b>) Pitch angle and tail wing Y-axis control signal for the ornithopter. (<b>d</b>) The linear regression plot of pitch angle against the Y-axis control signal.</p>
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<p>The coupling relationship diagram between pitch angle and roll angle under tail control.</p>
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<p>The control relationship between the wing twist control signal and the aircraft’s roll and yaw angles. (<b>a</b>) The twist wing signal’s anticipated control effect on the ornithopter’s roll angle (similar to the aileron’s control effect on fixed-wing aircraft). (<b>b</b>) The twist wing signal’s actual control effect on the ornithopter’s roll angle is completely opposite to the anticipated effect. (<b>c</b>) The coupling relationship between the yaw and roll angles during actual flight. (<b>d</b>) The coupling relationship between the yaw angle signal filtered by low frequency and the roll angle. (<b>e</b>) The linear regression curve between the wing twist signal and the roll angle.</p>
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<p>Comparison diagram between fixed-wing aircraft and two-section wing ornithopter. (<b>a</b>) Schematic illustration of aileron twisting in fixed-wing aircraft. (<b>b</b>) Schematic illustration of outer wing twisting in two-section wing ornithopter, along with its corresponding force analysis.</p>
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17 pages, 6795 KiB  
Article
Icing Wind Tunnel and Erosion Field Tests of Superhydrophobic Surfaces Caused by Femtosecond Laser Processing
by Roland Fürbacher, Gerhard Liedl, Gabriel Grünsteidl and Andreas Otto
Wind 2024, 4(2), 155-171; https://doi.org/10.3390/wind4020008 - 5 Jun 2024
Cited by 2 | Viewed by 1757
Abstract
Ice accumulation on lift-generating surfaces, such as rotor blades or wings, degrades aerodynamic performance and increases various risks. Active measures to counteract surface icing are energy-consuming and should be replaced by passive anti-icing surfaces. Two major categories of surface treatments—coating and structuring—already show [...] Read more.
Ice accumulation on lift-generating surfaces, such as rotor blades or wings, degrades aerodynamic performance and increases various risks. Active measures to counteract surface icing are energy-consuming and should be replaced by passive anti-icing surfaces. Two major categories of surface treatments—coating and structuring—already show promising results in the laboratory, but none fulfill the current industry requirements for performance and durability. In this paper, we show how femtosecond laser structuring of stainless steel (1.4301) combined with a hydrocarbon surface treatment or a vacuum treatment leads to superhydrophobic properties. The anti-ice performance was investigated in an icing wind tunnel under glaze ice conditions. Therefore, flexible steel foils were laser-structured, wettability treated and attached to NACA 0012 air foil sections. In the icing wind tunnel, hydrocarbon treated surfaces showed a 50 s ice build-up delay on the leading edge as well as a smoother ice surface compared to the reference. To demonstrate the erosion resistance of these surfaces, long-term field tests on a small-scale wind turbine were performed under alpine operating conditions. The results showed only minor erosion wear of micro- and nano-structures after a period of six winter months. Full article
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<p>Schematic depiction of the femtosecond laser machining setup.</p>
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<p>SEM images: laser-generated structure types, taken at a 45° tilt angle (close-ups were taken without tilt).</p>
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<p>Airfoil section: (<b>a</b>) prepared sample IWT#1 with taped laser processed (<b>right</b>) and reference steel foil (<b>left</b>), (<b>b</b>) test section in the FHJIWT.</p>
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<p>Femtosecond laser structuring process (<b>top left</b>), structured metal foil (<b>bottom left</b>); dynamic erosion field test setup with laser-structured stainless steel foils attached to rotor blades of a small-scale wind turbine (<b>right</b>).</p>
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<p>Environmental conditions during the dynamic erosion field test; Pretul mountain ridge at 1600 m elevation.</p>
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<p>Top view of sample IWT#6—laser-generated grid structure with Eurosuper Petrol treatment (airfoil position: <b>left</b>), reference foil (airfoil position: <b>right</b>). Runback of arriving water droplets, waterfront highlighted by the yellow line (1–3 s), delayed ice bead buildup on the structured sample (30 s, 60 s).</p>
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<p>Top view of sample IWT#6 after 60 s, laser-structured sample (<b>left</b>) shows a smooth ice surface at the leading edge, while the same section on the reference surface (<b>right</b>) is already rough.</p>
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<p>(<b>a</b>) Sample IWT#1 after 180 s of icing under glaze ice conditions, coloration of LIPSS due to diffraction; (<b>b</b>) Detail of the horn-like ice shape on the leading edge, laser-structured sample (<b>right</b>) and reference (<b>left</b>).</p>
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<p>Result of a 3D laser scan of sample IWT#8 after 180 s in the icing wind tunnel; (<b>a</b>) ice accretion as a false color image—structured sample +y direction, reference –y direction; (<b>b</b>) averaged ice accumulation on the cross-section of the NACA 0012 airfoil (bold grey line); laser-structured surface (bold black line) shows increased ice accumulation compared to the reference sample (bold red line).</p>
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<p>Three-dimensional scan of sample E#1 Reference (<b>left</b>) and sample E#1 after erosion test (<b>right</b>). Image of the measured field (<b>a</b>,<b>d</b>), 3D dataset in false colors (<b>b</b>,<b>e</b>) and SEM images of LIPSS nano-structures (<b>c</b>,<b>f</b>).</p>
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<p>Three-dimensional scan of sample E#2 (grid), E#3 (dimple) and E#4 (triangle); reference samples (<b>left</b>) and eroded samples (<b>right</b>).</p>
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16 pages, 7003 KiB  
Article
Effects of an Owl Airfoil on the Aeroacoustics of a Small Wind Turbine
by Dean Sesalim and Jamal Naser
Energies 2024, 17(10), 2254; https://doi.org/10.3390/en17102254 - 8 May 2024
Viewed by 1112
Abstract
Aerodynamic noise emitted by small wind turbines is a concern due to their proximity to urban environments. Broadband airfoil self-noise has been found to be the major source, and several studies have discussed techniques to reduce airfoil leading-edge and trailing-edge noises. Reduction mechanisms [...] Read more.
Aerodynamic noise emitted by small wind turbines is a concern due to their proximity to urban environments. Broadband airfoil self-noise has been found to be the major source, and several studies have discussed techniques to reduce airfoil leading-edge and trailing-edge noises. Reduction mechanisms inspired by owl wings and their airfoil sections were found to be most effective. However, their effect/s on the tip vortex noise remain underexplored. Therefore, this paper investigates the effects of implementing an owl airfoil design on the tip vortex noise generated by the National Renewable Energy Laboratory (NREL) Phase VI wind turbine to gain an understanding of the relationship, if any, between airfoil design and the tip vortex noise mechanism. Numerical prediction of aeroacoustics is employed using the Ansys Fluent Broadband Noise Sources function for airfoil self-noise radiation. Detailed comparisons and evaluations of the generated acoustic power levels (APLs) for two distinguished inlet velocities were made with no loss in torque. Although the owl airfoil design increased the maximum generated APL by the baseline model from 105 dB to 110 dB at the lower inlet velocity, it significantly reduced the surface area generating the noise, and reduced the maximum APL generated by the baseline model by 4 dB as the inlet velocity increased. The ability of the owl airfoil to mitigate the velocity effects along the span of the blade was found to be its main noise reduction mechanism. Full article
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<p>Modeled owl airfoil cross-section.</p>
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<p>Reference values.</p>
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<p>Reference frame motion.</p>
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<p>Near-surface mesh of the S809 airfoil cross-section.</p>
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<p>Mesh refinement study.</p>
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<p>Pressure distribution results at 0.3R and 10 m/s inlet velocity.</p>
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<p>Acoustics model parameters.</p>
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<p>Torque results comparison.</p>
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<p>Acoustic power level (dB) at 5 m/s: S809 airfoil (<b>A</b>) and owl airfoil (<b>B</b>).</p>
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<p>Acoustic power level (dB) at 15 m/s: S809 airfoil (<b>A</b>) and owl airfoil (<b>B</b>).</p>
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<p>Streamline acoustic power level (dB) at 5 m/s: S809 airfoil (<b>A</b>) and owl airfoil (<b>B</b>).</p>
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<p>Streamline acoustic power level (dB) at 15 m/s: S809 airfoil (<b>A</b>) and owl airfoil (<b>B</b>).</p>
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11 pages, 2907 KiB  
Article
Numerical Simulation of Swept-Wing Laminar–Turbulent Flow in the Presence of Two-Dimensional Surface Reliefs
by Andrey V. Boiko, Stanislav V. Kirilovskiy and Tatiana V. Poplavskaya
Fluids 2024, 9(4), 95; https://doi.org/10.3390/fluids9040095 - 19 Apr 2024
Viewed by 1060
Abstract
Stochastization of boundary-layer flow has a dramatic effect on the aerodynamic characteristics of wings, nacelles, and other objects frequently encountered in practice, resulting in higher skin-friction drag and worse aerodynamic quality. A swept-wing boundary layer encountering a transition to turbulence in the presence [...] Read more.
Stochastization of boundary-layer flow has a dramatic effect on the aerodynamic characteristics of wings, nacelles, and other objects frequently encountered in practice, resulting in higher skin-friction drag and worse aerodynamic quality. A swept-wing boundary layer encountering a transition to turbulence in the presence of two-dimensional surface reliefs is considered. The relief has the form of strips of a rectangular cross-section oriented parallel to the leading edge and located at different distances from it. The computations are performed for the angle of attack of −5° and an incoming flow velocity of 30 m/s using the ANSYS Fluent 18.0 software together with the author’s LOTRAN 3 package for predicting the laminar–turbulent transition on the basis of the eN-method. New data on distributions of N factors of swept-wing cross-flow instability affected by the surface relief are presented. The data are of practical importance for engineering modeling of the transition. Also, the effectiveness of using the reliefs as a passive method of weakening the cross-flow instability up to 30% to delay the flow stochastization is shown. Full article
(This article belongs to the Special Issue Stochastic Equations in Fluid Dynamics, 2nd Edition)
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<p>Computational domain with the swept wing and the structured hexahedral computational grid (each 27th cell shown) on the boundaries.</p>
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<p>Schematic representation of the computational grid (each 27th cell shown) and the swept wing with surface reliefs of a rectangular cross-section placed parallel to the leading edge.</p>
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<p>Results for the single-strip relief at 10% of the chord, Case 1 (red solid line): (<b>a</b>) selected (numbered) and unused (unnumbered) streamlines; (<b>b</b>) <span class="html-italic">N</span>-factor envelopes for the stationary CFVs along the 4th, 5th, and 6th streamlines; (<b>c</b>) contours of constant <span class="html-italic">N</span> factors (white line stands for <math display="inline"><semantics> <mrow> <mi>N</mi> <mo>=</mo> <mn>6</mn> </mrow> </semantics></math> for the smooth surface).</p>
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<p><span class="html-italic">N</span>-factor envelopes for the stationary CFVs along 4th, 5th, and 6th streamlines for (<b>a</b>) Case 2 and (<b>b</b>) Case 3.</p>
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<p>The main flow characteristics in the wing center plane in the vicinity of Case 1 relief: (<b>a</b>) the field of the span-wise velocity component <span class="html-italic">W</span> with the boundary-layer edge <math display="inline"><semantics> <mi>δ</mi> </semantics></math> indicated by a dashed line and <math display="inline"><semantics> <mrow> <mi>W</mi> <mo>=</mo> <mn>0</mn> </mrow> </semantics></math> by the black solid line; (<b>b</b>) the distribution of <span class="html-italic">W</span> (another color scheme) with streamlines (white).</p>
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<p>Cross-flow velocity <math display="inline"><semantics> <msup> <mi>W</mi> <mo>*</mo> </msup> </semantics></math> profiles downstream of Case 1 relief: (<b>a</b>) <math display="inline"><semantics> <mrow> <msup> <mi>x</mi> <mo>′</mo> </msup> <mo>/</mo> <mi>C</mi> <mo>=</mo> <mn>0.12</mn> </mrow> </semantics></math>; (<b>b</b>) <math display="inline"><semantics> <mrow> <msup> <mi>x</mi> <mo>′</mo> </msup> <mo>/</mo> <mi>C</mi> <mo>=</mo> <mn>0.15</mn> </mrow> </semantics></math>; (<b>c</b>) <math display="inline"><semantics> <mrow> <msup> <mi>x</mi> <mo>′</mo> </msup> <mo>/</mo> <mi>C</mi> <mo>=</mo> <mn>0.20</mn> </mrow> </semantics></math>; (<b>d</b>) <math display="inline"><semantics> <mrow> <msup> <mi>x</mi> <mo>′</mo> </msup> <mo>/</mo> <mi>C</mi> <mo>=</mo> <mn>0.25</mn> </mrow> </semantics></math>.</p>
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23 pages, 8746 KiB  
Article
Scapular Motor Control and Upper Limb Movement Quality in Subjects with and without Chronic Shoulder Pain: A Cross-Sectional Study
by Ana S. C. Melo, Diana C. Guedes, Ricardo Matias, Eduardo B. Cruz, J. Paulo Vilas-Boas and Andreia S. P. Sousa
Appl. Sci. 2024, 14(8), 3291; https://doi.org/10.3390/app14083291 - 13 Apr 2024
Viewed by 2351
Abstract
Despite the existence of several studies about the scapula’s position and motion, in shoulder pain conditions, there are still conflicting findings regarding scapular adaptations and reduced research about the scapula’s role during functional tasks. The present study aimed to compare scapular-related kinematic and [...] Read more.
Despite the existence of several studies about the scapula’s position and motion, in shoulder pain conditions, there are still conflicting findings regarding scapular adaptations and reduced research about the scapula’s role during functional tasks. The present study aimed to compare scapular-related kinematic and electromyographic outcomes during different shoulder movements (with and without load) and the drinking task, between symptomatic and asymptomatic subjects. Forty subjects (divided into two groups) participated in this cross-sectional observational study. Scapulothoracic motion, scapulohumeral rhythm, and movement quality (considering trunk compensation, time-to-peak acceleration, and smoothness), as well as the relative surface electromyographic activity and muscle ratio considering the trapezius, serratus anterior, and levator scapulae (LS), were assessed. The symptomatic group presented the following: (1) changes in scapular upward rotation (p = 0.008) and winging (p = 0.026 and p = 0.005) during backward transport and drink phases; (2) increased muscle activity level of the middle trapezius (MT) in all tasks (p < 0.0001 to p = 0.039), of LS during shoulder elevation with load (p = 0.007), and of LS and LT during most of the drinking task phases (p = 0.007 to p = 0.043 and p < 0.0001 to p = 0.014, respectively); (3) a decreased serratus anterior lower portion activity level (SAlow) during shoulder lowering with load (p = 0.030) and drink phase (p = 0.047); and (4) an increased muscular ratio between scapular abductors/adductors (p = 0.005 to p = 0.036) and elevators/depressors (p = 0.008 to p = 0.028). Compared to asymptomatic subjects, subjects with chronic shoulder pain presented scapular upward rotation and winging adaptations; increased activity levels of MT, LT, and LS; decreased activity levels of SAlow; and increased scapular muscle ratios. Full article
(This article belongs to the Special Issue Biomechanics and Motor Control on Human Movement Analysis)
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<p>Schematic representation of the duration of the phases of shoulder elevation/lowering in the frontal plane with or without load (<b>a</b>) and of the phases of the drinking task (<b>b</b>) Back. T.—backward transport phase; Fwd. T.—forward transport phase; other rep.—other repetition; Sh. Elev.—range of shoulder (glenohumeral) elevation.</p>
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<p>Scapulothoracic rest position and motion, during shoulder elevation and lowering in the frontal plane (with and without load), according to asymptomatic and symptomatic groups. Ab/Ad—abduction (+) or adduction (−); AG—asymptomatic group; Elev—Shoulder elevation in frontal plane; El/Dep—elevation (+) or depression (−); Low—Shoulder lowering in frontal plane; SG—symptomatic group; Ur/Dr—upward rotation (+) or downward rotation (−); Wing—winging.</p>
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<p>Scapular muscular activity level and ratio, during shoulder elevation and lowering in the frontal plane (with and without load), according to asymptomatic and symptomatic groups. AdvsAb—adductors vs. abductors ratio; AG—asymptomatic group; Elev—shoulder elevation in frontal plane; DepvsEl—depressors vs. elevators ratio; DrvsUr—downward vs. upward rotators ratio; Low—shoulder lowering in frontal plane; LS—levator scapulae; LT—lower trapezius; MT—middle trapezius; n.a.—not applicable (effect size values are not presented in the Figure once the mentioned variables was analyzed using a non-parametric tests); SAlow—serratus anterior lower portion; SAup/mid—serratus anterior upper/middle portion; SG—symptomatic group; UT—upper trapezius. Only significant results, represented by the <span class="html-italic">p</span>-value and, in parentheses, by effect size, were presented in the figure. Muscular ratio was defined as AdvsAb, to standardize the reference to scapulothoracic motion. However, it should be noted that the muscles considered in this ratio also contribute to scapular protraction and retraction, respectively.</p>
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<p>Scapulothoracic rest position and motion, during drinking task phases, according to asymptomatic and symptomatic groups. Ab/Ad—abduction (+) or adduction (−); AG—asymptomatic group; El/Dep—elevation (+) or depression (−); n.a.—not applicable (effect size values are not presented in the Figure once the mentioned variables was analyzed using a non-parametric tests); SG—symptomatic group; Transp.—transport; Ur/Dr—upward rotation (+) or downward rotation (−); Wing—winging. Only significant results, represented by the <span class="html-italic">p</span>-value and, in parentheses, by effect size, were presented in the figure.</p>
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<p>Scapular muscular activity level and ratio, during drinking task phases, according to asymptomatic and symptomatic groups. AbvsAd—abductors vs. adductors ratio; AG—asymptomatic group; DepvsEl—elevators vs. depressors ratio; DrvsUr—downward vs. upward rotators ratio; LS—levator scapulae; LT—lower trapezius; n.a.—not applicable (effect size values are not presented in the Figure once the mentioned variables was analyzed using a non-parametric tests); MT—middle trapezius; SAlow—serratus anterior lower portion; SAup/mid—serratus anterior upper/middle portion; SG—symptomatic group; Transp.—transport; UT—upper trapezius. Only significant results, represented by the <span class="html-italic">p</span>-value and, in parentheses, by effect size, were presented in the FIGURE.</p>
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30 pages, 12760 KiB  
Article
Combination of Advanced Actuator Line/Disk Model and High-Order Unstructured Finite Volume Solver for Helicopter Rotors
by Minghao Yang, Shu Li and Weicheng Pei
Aerospace 2024, 11(4), 296; https://doi.org/10.3390/aerospace11040296 - 10 Apr 2024
Viewed by 1333
Abstract
In the research field of rotorcraft aerodynamics, there are two fundamental challenges: resolving the complex vortex structures in rotor wakes and representing the moving rotor blades in the ambient airflow. In this paper, we address the first challenge by utilizing a third-order unstructured [...] Read more.
In the research field of rotorcraft aerodynamics, there are two fundamental challenges: resolving the complex vortex structures in rotor wakes and representing the moving rotor blades in the ambient airflow. In this paper, we address the first challenge by utilizing a third-order unstructured finite volume solver, which exhibits lower numerical dissipation than its second-order counterpart. This allows for sufficient resolution of small vortex structures on relatively coarse meshes. With this flow solver, the second challenge is addressed by modeling each rotor as an actuator disk (i.e., the actuator disk model (ADM)) or modeling each blade as an actuator line (i.e., the actuator line model (ALM)). Both of the two models are equipped with an improved tip loss correction, which is introduced in detail in the methodology section. In the section of numerical experiments, the numerical convergence properties of the two types of solvers have been compared in the case of two-dimensional infinite wing. In addition, the relationship between the ALM and the lifting line theory is discussed in the cases of fixed-wing calculations. Another goal of these cases is to validate the tip loss correction presented. The validation of the ALM/ADM and comparisons of computational efficiency are also demonstrated in simulations involving both hover and forward flight rotors. It was found that the combination of the third-order finite volume solver and the ALM/ADM with the improved tip loss correction presents an efficient way of performing the aerodynamic analysis of rotor-induced downwash flow. Full article
(This article belongs to the Special Issue Advances in Rotorcraft Dynamics)
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Figure 1

Figure 1
<p>Comparison of approximate solutions (solid lines) and exact solutions (dashed lines): (<b>a</b>) piecewise polynomials of degree <math display="inline"><semantics> <mrow> <mi>p</mi> <mo>=</mo> <mn>1</mn> </mrow> </semantics></math>; (<b>b</b>) piecewise polynomials of degree <math display="inline"><semantics> <mrow> <mi>p</mi> <mo>=</mo> <mn>2</mn> </mrow> </semantics></math>.</p>
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<p>Projection domain of standard actuator line model in blade (<b>a</b>) and advanced actuator line model in blade (<b>b</b>). Blade (<b>c</b>) and blade (<b>d</b>) show the blade element section discretization.</p>
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<p>Schematic diagram of a 2D blade element.</p>
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<p>Schematic diagram of the distribution of <span class="html-italic">G</span> and <math display="inline"><semantics> <mrow> <mo>Δ</mo> <mi>G</mi> </mrow> </semantics></math> on a blade.</p>
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<p>Schematic flowchart of the framework of calculation.</p>
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<p>Schematic diagram of the two-dimensional infinite wing.</p>
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<p>Induced velocity profiles with different <math display="inline"><semantics> <mrow> <mi>ϵ</mi> <mo>/</mo> <msub> <mo>Δ</mo> <mi>grid</mi> </msub> <mrow> <mo>(</mo> <mi>ϵ</mi> <mo>=</mo> <mn>0.25</mn> <mi>c</mi> <mo>)</mo> </mrow> </mrow> </semantics></math> for 2D infinite wing: (<b>a</b>) results of the second−order solver; (<b>b</b>) results of the third−order solver.</p>
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<p>Sampling error for ALM: (<b>a</b>) error of magnitude of velocity for different <math display="inline"><semantics> <mrow> <mi>ϵ</mi> <mo>/</mo> <msub> <mo>Δ</mo> <mi>grid</mi> </msub> <mo>∈</mo> <mfenced separators="" open="[" close="]"> <mn>1</mn> <mo>,</mo> <mn>7</mn> </mfenced> </mrow> </semantics></math>, (<b>b</b>) error of attack of angle for different <math display="inline"><semantics> <mrow> <mi>ϵ</mi> <mo>/</mo> <msub> <mo>Δ</mo> <mi>grid</mi> </msub> <mo>∈</mo> <mfenced separators="" open="[" close="]"> <mn>1</mn> <mo>,</mo> <mn>7</mn> </mfenced> </mrow> </semantics></math>, (<b>c</b>) error of magnitude of velocity for different <math display="inline"><semantics> <mrow> <mi>ϵ</mi> <mo>/</mo> <mi>c</mi> <mo>∈</mo> <mfenced separators="" open="[" close="]"> <mn>0.1</mn> <mo>,</mo> <mn>0.7</mn> </mfenced> </mrow> </semantics></math>, and (<b>d</b>) error of attack of angle for different <math display="inline"><semantics> <mrow> <mi>ϵ</mi> <mo>/</mo> <mi>c</mi> <mo>∈</mo> <mfenced separators="" open="[" close="]"> <mn>0.1</mn> <mo>,</mo> <mn>0.7</mn> </mfenced> </mrow> </semantics></math>.</p>
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<p>Discription of the mesh for 3D finite wing and isosurface of the Q−criterion with <math display="inline"><semantics> <mrow> <mi>Q</mi> <mo>=</mo> <mn>1</mn> </mrow> </semantics></math> of ALM simulation of constant circulation rectangular wing.</p>
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<p>Downwash distribution: (<b>a</b>) results of the flow field along quarter chord length position of the wing with different <math display="inline"><semantics> <mi>ϵ</mi> </semantics></math>; (<b>b</b>) results of corrected sampled velocity of the actuator line model with the same <math display="inline"><semantics> <mi>ϵ</mi> </semantics></math>.</p>
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<p>Downwash distribution: (<b>a</b>) results of the flow field along quarter chord length position of the wing with different <math display="inline"><semantics> <mi>ϵ</mi> </semantics></math>; (<b>b</b>) results of corrected sampled velocity of the actuator line model with the same <math display="inline"><semantics> <mi>ϵ</mi> </semantics></math>.</p>
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<p>Schematic diagram of Caradonna–Tung rotor experimental device [<a href="#B34-aerospace-11-00296" class="html-bibr">34</a>].</p>
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<p>The meshes used for the hover flight rotor simulation: (<b>a</b>) coarse mesh; (<b>b</b>) fine mesh.</p>
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<p>Thrust coefficient convergence history of the hover flight rotor simulation: (<b>a</b>) results of ADM3; (<b>b</b>) results of ALM.</p>
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<p>Sectional life coefficient distributions of the blade: (<b>a</b>) ADM results; (<b>b</b>) ALM results.</p>
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<p>Vorticity contours at isosurface <math display="inline"><semantics> <mrow> <mi>Q</mi> <mo>=</mo> <mn>0.05</mn> </mrow> </semantics></math> of the second-order solver: (<b>a</b>) result with the coarse mesh; (<b>b</b>) result with the fine mesh.</p>
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<p>Vorticity contours of the second-order solver: (<b>a</b>) result with the coarse mesh; (<b>b</b>) result with the fine mesh.</p>
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<p>Vorticity contours at isosurface <math display="inline"><semantics> <mrow> <mi>Q</mi> <mo>=</mo> <mn>0.05</mn> </mrow> </semantics></math> of the third-order solver: (<b>a</b>) result with the coarse mesh; (<b>b</b>) result with the fine mesh.</p>
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<p>Vorticity contours of the third-order solver: (<b>a</b>) result with the coarse mesh; (<b>b</b>) result with the fine mesh.</p>
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<p>Comparisons of positions of the vortex core: (<b>a</b>) radial position; (<b>b</b>) axial position.</p>
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<p>Comparisons of velocity profiles: (<b>a</b>) velocity profiles at vortex age of <math display="inline"><semantics> <msup> <mn>90</mn> <mo>∘</mo> </msup> </semantics></math>; (<b>b</b>) velocity profiles at vortex age of <math display="inline"><semantics> <msup> <mn>180</mn> <mo>∘</mo> </msup> </semantics></math>.</p>
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<p>Schematic diagram of the GIT experimental device [<a href="#B37-aerospace-11-00296" class="html-bibr">37</a>].</p>
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<p>The meshes used for forward flight rotor: (<b>a</b>) coarse mesh; (<b>b</b>) fine mesh.</p>
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<p>Thrust coefficient convergence history of the forward flight rotor simulation: (<b>a</b>) ADM history; (<b>b</b>) ALM history.</p>
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<p>Time-averaged downwash velocity along radial lines located <math display="inline"><semantics> <mrow> <mn>12.7</mn> </mrow> </semantics></math> mm below the rotor disk: (<b>a</b>) <math display="inline"><semantics> <mrow> <mn>112</mn> <mo>.</mo> <msup> <mn>5</mn> <mo>∘</mo> </msup> </mrow> </semantics></math> azimuth angle; (<b>b</b>) <math display="inline"><semantics> <mrow> <mn>277</mn> <mo>.</mo> <msup> <mn>5</mn> <mo>∘</mo> </msup> </mrow> </semantics></math> azimuth angle.</p>
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<p>Comparisons of time-averaged pressure coefficient on the fuselage: (<b>a</b>) top side; (<b>b</b>) retreating side.</p>
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<p>Vorticity contours at isosurface <math display="inline"><semantics> <mrow> <mi>Q</mi> <mo>=</mo> <mn>0.2</mn> </mrow> </semantics></math> of the second-order solver: (<b>a</b>) result with the coarse mesh; (<b>b</b>) result with the fine mesh.</p>
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<p>Instantaneous vorticity contours at the symmetric plane of ALM2: (<b>a</b>) result with the coarse mesh; (<b>b</b>) result with the fine mesh.</p>
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<p>Vorticity contours at isosurface <math display="inline"><semantics> <mrow> <mi>Q</mi> <mo>=</mo> <mn>0.2</mn> </mrow> </semantics></math> of the third-order solver: (<b>a</b>) result with the coarse mesh; (<b>b</b>) result with the fine mesh.</p>
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<p>Instantaneous vorticity contours at the symmetric plane of ALM3: (<b>a</b>) result with the coarse mesh; (<b>b</b>) result with the fine mesh.</p>
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<p>Parallel scaling efficiency of the third-order solver with the ALM on the fine mesh.</p>
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23 pages, 1041 KiB  
Article
Active Flutter Suppression of a Wing Section in the Subsonic, Sonic and Supersonic Regimes by the H Control Method
by Álvaro Muñoz and Pablo García-Fogeda
Aerospace 2024, 11(3), 198; https://doi.org/10.3390/aerospace11030198 - 29 Feb 2024
Cited by 1 | Viewed by 1544
Abstract
This paper compares various procedures for determining the optimal control law for a wing section in compressible flow. The flow regime includes subsonic, sonic and supersonic flows. For the evolution of the system in the Laplace plane, the present method makes use of [...] Read more.
This paper compares various procedures for determining the optimal control law for a wing section in compressible flow. The flow regime includes subsonic, sonic and supersonic flows. For the evolution of the system in the Laplace plane, the present method makes use of the exact unsteady aerodynamic forces in this plane once the control law is established. This is a great advantage over other results previously published, where the unsteady aerodynamics in the Laplace plane are merely approximations of the curve-fitted values in the frequency domain (imaginary axis). A comparison of different control techniques like pole placement, LQR and H-infinity control demonstrates that the H-infinity controller is the optimal choice, exhibiting an H-infinity norm approximately two orders of magnitude lower than the LQR case. Furthermore, the H-infinity controller demonstrates lower pole values than those of the pole placement and LQR compensator, showing the advantage of the H-infinity controller in terms of economic efficiency. Full article
(This article belongs to the Special Issue Active Flutter Suppression and Gust Load Alleviation)
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Figure 1

Figure 1
<p>Diagram of a typical airfoil section with three degrees of freedom: plunging, pitching and trailing-edge control surface.</p>
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<p>Unsteady aerodynamic loads of an airfoil with three degrees of freedom, with <math display="inline"><semantics> <mrow> <msub> <mi mathvariant="normal">Λ</mi> <mn>1</mn> </msub> <mo>=</mo> <mo>−</mo> <mn>0.4</mn> </mrow> </semantics></math> and <math display="inline"><semantics> <mrow> <msub> <mi mathvariant="normal">Λ</mi> <mn>3</mn> </msub> <mo>=</mo> <mn>0.6</mn> </mrow> </semantics></math>, in subsonic compressible flow at <math display="inline"><semantics> <mrow> <msub> <mi>M</mi> <mo>∞</mo> </msub> <mo>=</mo> <mn>0.5</mn> </mrow> </semantics></math>. Exact loads are presented with a continuous line, while results from the RFA are plotted with a dashed line. (<b>a</b>) Lift coefficient for a plunging airfoil. (<b>b</b>) Lift coefficient for an oscillating airfoil. (<b>c</b>) Pitching moment coefficient for an oscillating airfoil. (<b>d</b>) Hinge moment coefficient for an oscillating airfoil.</p>
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<p>Root locus comparison of the p-method poles and the state-space system poles for a 3 dof airfoil. Left figure assumes constant Mach <math display="inline"><semantics> <mrow> <msub> <mi>M</mi> <mo>∞</mo> </msub> <mo>=</mo> <mn>0.5</mn> </mrow> </semantics></math> (for increasing <math display="inline"><semantics> <mrow> <mi>U</mi> <mo>/</mo> <mi>b</mi> <msub> <mi>ω</mi> <mi>α</mi> </msub> </mrow> </semantics></math>, indicated in the figure), while right one considers variable Mach number (indicated in the figure, with <math display="inline"><semantics> <mrow> <msub> <mi>a</mi> <mo>∞</mo> </msub> <mo>=</mo> <mn>300</mn> </mrow> </semantics></math> m/s).</p>
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<p>Block diagram of the compensator control system, consisting of a regulator and an observer.</p>
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<p>Root locus plot of a 3 dof airfoil for <math display="inline"><semantics> <mrow> <msub> <mi>M</mi> <mo>∞</mo> </msub> <mo>=</mo> <mn>0.5</mn> </mrow> </semantics></math> in closed loop. The control law has been obtained by the use of a compensator.</p>
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<p>Root locus plot of the 3 dof airfoil with <math display="inline"><semantics> <msub> <mi>H</mi> <mo>∞</mo> </msub> </semantics></math> controller for <math display="inline"><semantics> <mrow> <msub> <mi>M</mi> <mo>∞</mo> </msub> <mo>=</mo> <mn>0.5</mn> </mrow> </semantics></math>, including new branches. These poles are associated with the controller dynamics.</p>
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<p>Root locus plot of a 3 dof airfoil in closed loop for <math display="inline"><semantics> <mrow> <msub> <mi>M</mi> <mo>∞</mo> </msub> <mo>=</mo> <mn>0.5</mn> </mrow> </semantics></math>. The control law was computed following the <math display="inline"><semantics> <msub> <mi>H</mi> <mo>∞</mo> </msub> </semantics></math> approach.</p>
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<p>Root locus plot of the 3 dof airfoil with the <math display="inline"><semantics> <msub> <mi>H</mi> <mo>∞</mo> </msub> </semantics></math> control law for <math display="inline"><semantics> <mrow> <msub> <mi>M</mi> <mo>∞</mo> </msub> <mo>=</mo> <mn>0.5</mn> </mrow> </semantics></math>, including new branches. These poles are associated with the controller dynamics.</p>
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<p>Evaluation of the <math display="inline"><semantics> <msub> <mrow> <mo>‖</mo> <msub> <mi>T</mi> <mrow> <mi>z</mi> <mi>w</mi> </mrow> </msub> <mo>‖</mo> </mrow> <mo>∞</mo> </msub> </semantics></math> norm: the closed-loop system for <math display="inline"><semantics> <mrow> <msub> <mi>M</mi> <mo>∞</mo> </msub> <mo>=</mo> <mn>0.5</mn> </mrow> </semantics></math>, comparing compensator and <math display="inline"><semantics> <msub> <mi>H</mi> <mo>∞</mo> </msub> </semantics></math> controller efficiency.</p>
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<p>Comparison of the poles of the compensator and the <math display="inline"><semantics> <msub> <mi>H</mi> <mo>∞</mo> </msub> </semantics></math> controller for <math display="inline"><semantics> <mrow> <msub> <mi>M</mi> <mo>∞</mo> </msub> <mo>=</mo> <mn>0.5</mn> </mrow> </semantics></math>.</p>
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<p>Root locus of a 3 dof airfoil in subsonic regime with an <math display="inline"><semantics> <msub> <mi>H</mi> <mo>∞</mo> </msub> </semantics></math> controller. Mach numbers up to <math display="inline"><semantics> <mrow> <msub> <mi>M</mi> <mo>∞</mo> </msub> <mo>=</mo> <mn>1.0</mn> </mrow> </semantics></math> are considered, including transonic regime.</p>
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<p>Evaluation of the <math display="inline"><semantics> <msub> <mrow> <mo>‖</mo> <msub> <mi>T</mi> <mrow> <mi>z</mi> <mi>w</mi> </mrow> </msub> <mo>‖</mo> </mrow> <mo>∞</mo> </msub> </semantics></math> norm for the closed-loop system in subsonic regime, comparing compensator and <math display="inline"><semantics> <msub> <mi>H</mi> <mo>∞</mo> </msub> </semantics></math> controller efficiency.</p>
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<p>Root locus of a 3 dof airfoil in supersonic regime with an <math display="inline"><semantics> <msub> <mi>H</mi> <mo>∞</mo> </msub> </semantics></math> controller. Mach numbers up to <math display="inline"><semantics> <mrow> <mn>2.5</mn> </mrow> </semantics></math> are considered.</p>
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<p>Evaluation of the <math display="inline"><semantics> <msub> <mrow> <mo>‖</mo> <msub> <mi>T</mi> <mrow> <mi>z</mi> <mi>w</mi> </mrow> </msub> <mo>‖</mo> </mrow> <mo>∞</mo> </msub> </semantics></math> norm: the closed-loop system in supersonic regime, comparing compensator and <math display="inline"><semantics> <msub> <mi>H</mi> <mo>∞</mo> </msub> </semantics></math> controller efficiency.</p>
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<p>Time response of an inherently unstable airfoil in open and closed loop with nonzero initial conditions.</p>
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<p>Control input of an inherently unstable airfoil with nonzero initial conditions, stabilized with a compensator and an <math display="inline"><semantics> <msub> <mi>H</mi> <mo>∞</mo> </msub> </semantics></math> controller.</p>
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24 pages, 7326 KiB  
Article
Calculation and Selection of Airfoil for Flapping-Wing Aircraft Based on Integral Boundary Layer Equations
by Ming Qi, Wenguo Zhu and Shu Li
Aerospace 2024, 11(1), 46; https://doi.org/10.3390/aerospace11010046 - 31 Dec 2023
Cited by 1 | Viewed by 2452
Abstract
The flight of a migratory bird-like flapping-wing aircraft is characterized by a low Reynolds number and unsteadiness. The selection of airfoil profiles is critical to designing an efficient flapping-wing aircraft. To choose the suitable airfoil for various wing sections, it is necessary to [...] Read more.
The flight of a migratory bird-like flapping-wing aircraft is characterized by a low Reynolds number and unsteadiness. The selection of airfoil profiles is critical to designing an efficient flapping-wing aircraft. To choose the suitable airfoil for various wing sections, it is necessary to calculate the aerodynamic forces of the unsteady two-dimensional airfoil with a Reynolds number in the range of 105. While accurate, calculating this by solving the Navier–Stokes equations is impractical for early design stages due to its high consumption of computing resources and time. The computational demands for extending it to 3D aerodynamic calculations are even more prohibitive. In this paper, a relatively simple method is proposed. The two-dimensional unsteady panel method is utilized to derive the inviscid flow field, the unsteady integral boundary layer method is utilized to solve the boundary layer viscous flow, and the eN transition model is adopted to predict the position of the transition. These models are coupled with the semi-inverse interaction method to solve the aerodynamics of the unsteady low-Reynolds-number two-dimensional airfoil. The unsteady aerodynamics of the symmetric and cambered airfoils at different wing sections are calculated respectively by the proposed method. Mechanism analysis of the calculation results is conducted, and a symmetrical airfoil or a slightly cambered airfoil is recommended for the wing tip, a moderately cambered airfoil is suggested for the outer-wing section, and a highly cambered airfoil is suggested for the inner-wing section. Full article
Show Figures

Figure 1

Figure 1
<p>Velocity-vector diagram at different wingspan locations for fast forward flight during downward flapping. Here, the lift and drag are defined based on the effective velocity combining forward and local flapping velocities. For the entire vehicle, the lift is defined to be normal to the forward velocity and the drag or thrust in the horizontal direction.</p>
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<p>Viscous flow characteristics of airfoil surface in the Reynolds range of 10<sup>5</sup>.</p>
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<p>Airfoil panels and wake panels of 2-D unsteady panel method.</p>
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<p>Calculation process of semi-inverse coupling method.</p>
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<p>Comparison of present method’s pressure coefficient and boundary layer momentum thickness against Xfoil results and experimental results.</p>
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<p>Comparison of present method’s boundary layer shape parameter <span class="html-italic">H</span> and momentum thickness <math display="inline"><semantics> <mrow> <mi>θ</mi> </mrow> </semantics></math> against Xfoil results and experimental results.</p>
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<p>Comparison of present method’s <math display="inline"><semantics> <mrow> <msub> <mi>C</mi> <mi>l</mi> </msub> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <msub> <mi>C</mi> <mi>d</mi> </msub> </mrow> </semantics></math>, and <math display="inline"><semantics> <mrow> <msub> <mi>C</mi> <mi>m</mi> </msub> </mrow> </semantics></math> values against Xfoil, Fluent results, and experimental results at a Reynolds number of 334,000.</p>
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<p>Unsteady lift coefficient.</p>
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<p>The positions of the three characteristic chords on the wing.</p>
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<p>Geometry of the four airfoils studied in the article.</p>
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<p>Airfoil motion and effective angle of attack.</p>
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<p>Comparison of <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>C</mi> </mrow> <mrow> <mi>t</mi> </mrow> </msub> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>C</mi> </mrow> <mrow> <mi>l</mi> </mrow> </msub> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>C</mi> </mrow> <mrow> <mi>m</mi> </mrow> </msub> </mrow> </semantics></math>, and <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>η</mi> </mrow> <mrow> <mi>P</mi> </mrow> </msub> </mrow> </semantics></math> for different motion laws of different airfoils on wingtip chord.</p>
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<p>The pressure coefficient of the upper and lower surface of the NACA2412 airfoil from Case 2 with <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>α</mi> </mrow> <mrow> <mi>m</mi> <mi>a</mi> <mi>x</mi> </mrow> </msub> <mo>=</mo> <msup> <mrow> <mn>17</mn> </mrow> <mrow> <mo>°</mo> </mrow> </msup> </mrow> </semantics></math> on the wingtip at different times during the period.</p>
Full article ">Figure 14
<p><math display="inline"><semantics> <mrow> <msub> <mrow> <mi>C</mi> </mrow> <mrow> <mi>l</mi> </mrow> </msub> </mrow> </semantics></math><span class="html-italic">,</span><math display="inline"><semantics> <mrow> <msub> <mrow> <mi>C</mi> </mrow> <mrow> <mi>t</mi> </mrow> </msub> </mrow> </semantics></math><span class="html-italic">,</span> and <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>C</mi> </mrow> <mrow> <mi>m</mi> </mrow> </msub> </mrow> </semantics></math> of NACA2412 airfoil from Case 2 with <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>α</mi> </mrow> <mrow> <mi>m</mi> <mi>a</mi> <mi>x</mi> </mrow> </msub> <mo>=</mo> <msup> <mrow> <mn>17</mn> </mrow> <mrow> <mo>°</mo> </mrow> </msup> </mrow> </semantics></math> on wingtip during the period.</p>
Full article ">Figure 15
<p>Comparison of <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>C</mi> </mrow> <mrow> <mi>t</mi> </mrow> </msub> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>C</mi> </mrow> <mrow> <mi>l</mi> </mrow> </msub> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>C</mi> </mrow> <mrow> <mi>m</mi> </mrow> </msub> </mrow> </semantics></math>, and <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>η</mi> </mrow> <mrow> <mi>P</mi> </mrow> </msub> </mrow> </semantics></math> for different motion laws of different airfoils on outer wing chord.</p>
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<p>The pressure coefficient of the upper and lower surface of the NACA5412 airfoil from Case 4 with <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>α</mi> </mrow> <mrow> <mi>m</mi> <mi>a</mi> <mi>x</mi> </mrow> </msub> <mo>=</mo> <msup> <mrow> <mn>10</mn> </mrow> <mrow> <mo>°</mo> </mrow> </msup> </mrow> </semantics></math> on the outer-wing chord at different times during the period.</p>
Full article ">Figure 17
<p><math display="inline"><semantics> <mrow> <msub> <mrow> <mi>C</mi> </mrow> <mrow> <mi>l</mi> </mrow> </msub> </mrow> </semantics></math><span class="html-italic">,</span><math display="inline"><semantics> <mrow> <msub> <mrow> <mi>C</mi> </mrow> <mrow> <mi>t</mi> </mrow> </msub> <mo>,</mo> </mrow> </semantics></math> and <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>C</mi> </mrow> <mrow> <mi>m</mi> </mrow> </msub> </mrow> </semantics></math> of NACA5412 airfoil from Case 4 <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>α</mi> </mrow> <mrow> <mi>m</mi> <mi>a</mi> <mi>x</mi> </mrow> </msub> <mo>=</mo> <msup> <mrow> <mn>10</mn> </mrow> <mrow> <mo>°</mo> </mrow> </msup> </mrow> </semantics></math> on outer-wing chord during the period.</p>
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<p>Comparison of <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>C</mi> </mrow> <mrow> <mi>t</mi> </mrow> </msub> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>C</mi> </mrow> <mrow> <mi>l</mi> </mrow> </msub> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>C</mi> </mrow> <mrow> <mi>m</mi> </mrow> </msub> </mrow> </semantics></math>, and <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>η</mi> </mrow> <mrow> <mi>P</mi> </mrow> </msub> </mrow> </semantics></math> for different motion laws of different airfoils on inner wing chord.</p>
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<p>The pressure coefficient of the upper and lower surfaces of the GOE225 airfoil from Case 5 with <math display="inline"><semantics> <mrow> <msub> <mrow> <mi mathvariant="sans-serif">α</mi> </mrow> <mrow> <mi>m</mi> <mi>a</mi> <mi>x</mi> </mrow> </msub> <mo>=</mo> <msup> <mrow> <mn>4</mn> </mrow> <mrow> <mo>°</mo> </mrow> </msup> </mrow> </semantics></math> on the outer-wing chord at different times during the period.</p>
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<p><math display="inline"><semantics> <mrow> <msub> <mrow> <mi>C</mi> </mrow> <mrow> <mi>t</mi> </mrow> </msub> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>C</mi> </mrow> <mrow> <mi>l</mi> </mrow> </msub> </mrow> </semantics></math>, and <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>C</mi> </mrow> <mrow> <mi>m</mi> </mrow> </msub> </mrow> </semantics></math> of GOE225 airfoil from Case 5 with <math display="inline"><semantics> <mrow> <msub> <mrow> <mi mathvariant="sans-serif">α</mi> </mrow> <mrow> <mi>m</mi> <mi>a</mi> <mi>x</mi> </mrow> </msub> <mo>=</mo> <msup> <mrow> <mn>4</mn> </mrow> <mrow> <mo>°</mo> </mrow> </msup> </mrow> </semantics></math> on the outer-wing chord during the period.</p>
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17 pages, 6092 KiB  
Article
Tongue of the Egyptian Endemic Bridled Skink (Heremites vittatus; Olivier, 1804): Gross, Electron Microscopy, Histochemistry, and Immunohistochemical Analysis
by Ramadan M. Kandyel, Om Prakash Choudhary, Sahar H. El-Nagar, Donald B. Miles and Mohamed Abumandour
Animals 2023, 13(21), 3336; https://doi.org/10.3390/ani13213336 - 26 Oct 2023
Cited by 6 | Viewed by 1551
Abstract
The present study used light and scanning electron microscopy to describe the integrative morphological description of the tongue and laryngeal mound of Heremites vittatus, an endemic lizard of Saharan Africa. Additionally, ultrastructure, histology, histochemistry, and immunohistochemical approaches were used to characterize the [...] Read more.
The present study used light and scanning electron microscopy to describe the integrative morphological description of the tongue and laryngeal mound of Heremites vittatus, an endemic lizard of Saharan Africa. Additionally, ultrastructure, histology, histochemistry, and immunohistochemical approaches were used to characterize the lingual apparatus adaptations. In the present study, Heremites vittatus consisted of a complex lingual papillary system in which the ventral apical surface of the foretongue comprised conical papillae. The dorsal surface consisted of different filiform papillary (papillae filiformes) types: the anterior section had two types (bifid and pointed), and the posterior section had four types (triangular, trifid, quadrifid, and pentafid) papillae. The dorsal midtongue surface exhibits scale-like, serrated filiform papillae with anterior gland openings. The hindtongue consisted of two overlapping filiform papillae: scale-like, board-serrated papillae on the median portion and finger-like papillae on the wings. The dorsal surface of the laryngeal mound had 18 longitudinal folds with glandular openings. Histologically, the foretongue was covered by a slightly keratinized layer that was absent in the mid- and hindtongue. The lingual glands were absent from the foretongue but present in the interpapillary space in the mid- and hindtongues. We observed a few rounded taste buds in the conical papilla epithelium. Histochemical analysis revealed strong glandular Alcian Blue (AB)-positive and Periodic Acid–Schiff (PAS)-positive reactions. Immunohistochemistry showed strong cytokeratin immunopositivity in all parts of the tongue. In conclusion, the obtained data about the lingual characterizations have been consistent with the active foraging behavior of the species and its environmental conditions. Full article
(This article belongs to the Special Issue Advances in Wildlife and Exotic Animals Anatomy)
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Figure 1

Figure 1
<p>Gross morphology of the tongue of <span class="html-italic">Heremites vittatus</span>, showing the foretongue (FT), midtongue (MT), hindtongue (HT), the lingual wings (LW), the laryngeal mound (LM), the median glottic opening (GO), and laryngeal folds (FO).</p>
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<p>Scanning electron microscopic image (views (<b>A</b>–<b>E</b>)) of the <span class="html-italic">Heremites vittatus</span> tongue showing the foretongue (FT) with its lingual part (LT) with its anterior round tip (RLP), midtongue (MT) with lingual frenulum (LF), and hindtongue (HT). The dorsal surface (DS) possessed <span class="html-italic">papillae filiformes</span> (FP). The ventral surface (VS) possessed <span class="html-italic">papillae conicae</span> (CP) that separated narrow spaces (black arrowheads). The lingual wings (LW), the laryngeal mound (LM), the median glottic opening (GO) were clear.</p>
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<p>Scanning electron microscopic image (views (<b>A</b>–<b>H</b>)) of the <span class="html-italic">Heremites vittatus</span> tongue showing the foretongue (FT) with its lingual part (LT) with its anterior round tip (RLP), midtongue (MT) with lingual frenulum (LF), and hindtongue (HT) with its lingual wings (LW). The ventral (VS) and dorsal (DS) surfaces possessed filiform papillae (FP), bifid filiform papillae (BFP), pointed filiform papillae (OFP), trifid filiform papillae (TFP), quadrifid filiform papillae (QFP), pentafid filiform papillae (PFP) with processes (black star), triangular filiform papillae (RFP), and taste buds (TB). The laryngeal mound (LM) with the median glottic opening (GO) and laryngeal folds (FO).</p>
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<p>Scanning electron microscopic image (views (<b>A</b>–<b>I</b>) of the <span class="html-italic">Heremites vittatus</span> tongue showing the foretongue (FT), midtongue (MT), lingual frenulum (LF), and hindtongue (HT) with its wings (LW). The dorsal surface of the midtongue possessed overlapped scale-like serrated filiform papillae (SFP) with a serrated apex (black arrowheads). With a high magnification of the papillary surface, there were taste buds (TB), microridges (Mr), and anterior salivary gland openings (red arrowheads).</p>
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<p>Scanning electron microscopic image of the <span class="html-italic">Heremites vittatus</span> tongue. (Views (<b>A</b>–<b>F</b>) show the dorsal surface of the hindtongue (HT) that carried scale-like board serrated papillae (SRFP) with a serrated apex (black arrowheads) in the median part, whereas the wings (LW) had finger-like projected papillae (FFP) with processes (black stars). The high magnification of the papillary surface showed numerous posterior salivary gland openings (red arrowheads). (Views (<b>G</b>–<b>I</b>)) showing the laryngeal mound (LM) and median glottic opening. (GO), with high magnification, its dorsal surface possessed 18 longitudinal laryngeal folds (FO) and numerous small openings of the laryngeal salivary glands (green arrowheads).</p>
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<p>Micrograph image (views (<b>A</b>–<b>J</b>)) of the dorsal surface of the foretongue (views (<b>A</b>–<b>C</b>)), midtongue (views (<b>D</b>–<b>F</b>)), and hindtongue (views (<b>H</b>–<b>J</b>)) of the <span class="html-italic">Heremites vittatus</span> tongue. The pointed filiform papillae (PFP) and conical papillae (CFP), interpapillary space (IPS), connective tissue core (CTC), muscle bundles (MB), keratinized (KE) or non-keratinized (NK) dorsal squamous epithelium (DE), keratinized layer (black arrowhead), taste buds (blue arrowhead), and lingual glands (LG). H&amp;E stain.</p>
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<p>Micrograph image (views (<b>A</b>–<b>F</b>)) of the <span class="html-italic">Heremites vittatus</span> tongue showing the pointed filiform papillae (PFP), interpapillary space (IPS), connective tissue core (CTC), muscle bundles (MB), collagen fibers (yellow arrowheads) that were intertwined and filled the core of each papilla, and glands (LG). Masson’s trichrome stain.</p>
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<p>Histochemical micrograph image (views (<b>A</b>–<b>I</b>)) of the <span class="html-italic">Heremites vittatus</span> tongue showing the interpapillary space (IPS), the pointed filiform papillae (PFP), connective tissue core (CTC), muscle bundles (MB), and glands (LG). Note: the glands displayed strong AB and PAS-positive reactions, in which the blue color indicates positive AB reactivity while the red color indicates PAS reactions. PAS and AB stain.</p>
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<p>Histochemical micrograph image (views (<b>A</b>–<b>I</b>)) of the <span class="html-italic">Heremites vittatus</span> tongue showing the negative image of <a href="#animals-13-03336-f008" class="html-fig">Figure 8</a> to clarify the pointed filiform papillae (PFP), interpapillary space (IPS), connective tissue core (CTC), muscle bundles (MB), and glands (LG). Note: the glands displayed strong AB and PAS-positive reactions, in which the blue color indicates positive AB reactivity while the red color indicates PAS reactions. PAS and AB stain.</p>
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<p>Immunohistological micrographs for cytokeratin of the dorsal surface of the foretongue (views (<b>A</b>,<b>a</b>)), midtongue (views (<b>B</b>,<b>b</b>)), and hindtongue (views (<b>C</b>,<b>c</b>)) of the <span class="html-italic">Heremites vittatus</span> tongue. The pointed filiform papillae (PFP), interpapillary space (IPS), connective tissue core (CTC), muscle bundles (MB), keratinized (KE) or non-keratinized (NK) squamous epithelium (DE), keratinized layer (black arrowheads), and glands (LG). Note: in immunohistochemistry analysis, there was a strong cytokeratin immunopositivity in all parts of the tongue (black arrowheads).</p>
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<p>Represents the height, width, and gland diameter of the papillae on different parts of the <span class="html-italic">Heremites vittatus</span> tongue. Values have been represented as the mean ± SEM (<span class="html-italic">n</span> = 5). *, ***, and **** denote statistical significance with <span class="html-italic">p</span> &lt; 0.05, <span class="html-italic">p</span> &lt; 0.001, and <span class="html-italic">p</span> &lt; 0.0001, respectively.</p>
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29 pages, 9869 KiB  
Article
A Self–Tuning Intelligent Controller for a Smart Actuation Mechanism of a Morphing Wing Based on Shape Memory Alloys
by Teodor Lucian Grigorie and Ruxandra Mihaela Botez
Actuators 2023, 12(9), 350; https://doi.org/10.3390/act12090350 - 31 Aug 2023
Cited by 9 | Viewed by 3318
Abstract
The paper exposes some of the results obtained in a major research project related to the design, development, and experimental testing of a morphing wing demonstrator, with the main focus on the development of the automatic control of the actuation system, on its [...] Read more.
The paper exposes some of the results obtained in a major research project related to the design, development, and experimental testing of a morphing wing demonstrator, with the main focus on the development of the automatic control of the actuation system, on its integration into the experimental developed morphing wing system, and on the gain related to the extension of the laminar flow over the wing upper surface when it was morphed based on this control system. The project was a multidisciplinary one, being realized in collaboration between several Canadian research teams coming from universities, research institutes, and industrial entities. The project’s general aim was to reduce the operating costs for the new generation of aircraft via fuel economy in flight and also to improve aircraft performance, expand its flight envelope, replace conventional control surfaces, reduce drag to improve range, and reduce vibrations and flutter. In this regard, the research team realized theoretical studies, accompanied by the development and wind tunnel experimental testing of a rectangular wing model equipped with a morphing skin, electrical smart actuators, and pressure sensors. The wing model was designed to be actively controlled so as to change its shape and produce the expansion of laminar flow on its upper surface. The actuation mechanism used to change the wing shape by morphing its flexible upper surface (manufactured from composite materials) is based on Shape Memory Alloys (SMA) actuators. Shown here are the smart mechanism used to actuate the wing’s upper surface, the design of the intelligent actuation control concept, which uses a self–tuning fuzzy logic Proportional–Integral–Derivative plus conventional On–Off controller, and some of the results provided by the wind tunnel experimental testing of the model equipped with the intelligent controlled actuation system. The control mechanism uses two fuzzy logic controllers, one used as the main controller and the other one as the tuning controller, having the role of adjusting (to tune) the coefficients involved in the operation of the main controller. The control system also took into account the physical limitations of the SMA actuators, including a software protection section for the SMA wires, implemented by using a temperature limiter and by saturating the electrical current powering the actuators. The On–Off component of the integrated controller deactivates or activates the heating phase of the SMA wires, a situation when the actuator passes into the cooling phase or is controlled by the Self–Tuning Fuzzy Logic Controller. Full article
(This article belongs to the Special Issue Actuators in 2022)
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Figure 1
<p>A 3D view of the morphing wing model.</p>
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<p>The installation of the pressure sensors [<a href="#B44-actuators-12-00350" class="html-bibr">44</a>].</p>
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<p>Optimized shapes of the airfoil for different flow conditions [<a href="#B44-actuators-12-00350" class="html-bibr">44</a>].</p>
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<p>The actuation mechanism concept—spanwise view.</p>
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<p>SMA phase change.</p>
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<p>A detailed model of the flexible structure [<a href="#B44-actuators-12-00350" class="html-bibr">44</a>].</p>
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<p>Force–displacement characteristics of the gas spring (Industrial Gas Springs Inc.) [<a href="#B42-actuators-12-00350" class="html-bibr">42</a>].</p>
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<p>Data flow in the SMA wires control system [<a href="#B44-actuators-12-00350" class="html-bibr">44</a>].</p>
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<p>Simulation model of the morphing system in an open loop [<a href="#B44-actuators-12-00350" class="html-bibr">44</a>].</p>
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<p>The block scheme of the integrated controller (On–Off + ST–FLC).</p>
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<p>The architecture of the integrated controller (On–Off + ST–FLC) [<a href="#B44-actuators-12-00350" class="html-bibr">44</a>].</p>
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<p>The <span class="html-italic">mf</span>s associated to the inputs of the FIS1 and FIS2 [<a href="#B44-actuators-12-00350" class="html-bibr">44</a>].</p>
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<p>The fuzzy rules for the FIS1.</p>
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<p>The fuzzy rules for the FIS2.</p>
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<p>Control surfaces of the two fuzzy inference systems: (<b>a</b>) FIS1 and (<b>b</b>) FIS2.</p>
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<p>Results are obtained using numerical simulation when a successive steps signal has been used as input for the control system [<a href="#B44-actuators-12-00350" class="html-bibr">44</a>].</p>
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<p>Morphing wing system during the bench testing steps at ETS.</p>
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<p>Bench tests physical model operating schema in the “open loop” architecture.</p>
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<p>Control system of the actuation mechanism [<a href="#B44-actuators-12-00350" class="html-bibr">44</a>].</p>
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<p>Wind tunnel tests physical model operating schema in the “open loop” architecture.</p>
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<p>Wind tunnel morphing wing model [<a href="#B44-actuators-12-00350" class="html-bibr">44</a>].</p>
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<p>GUI for un–morphed and morphed wing, for α = 0°, <span class="html-italic">M =</span> 0.3.</p>
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<p>Wind tunnel results for <span class="html-italic">M</span> = 0.2, <span class="html-italic">α</span> = 2° flow condition [<a href="#B44-actuators-12-00350" class="html-bibr">44</a>].</p>
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<p>FFT and RMS results characterizing the transition monitoring for <span class="html-italic">M</span> = 0.2 and <span class="html-italic">α</span> = 2° (un–morphed and morphed configurations) [<a href="#B44-actuators-12-00350" class="html-bibr">44</a>].</p>
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<p>Ladder command for the SMA actuators.</p>
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