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21 pages, 1558 KiB  
Article
Preview-Based Optimal Control for Trajectory Tracking of Fully-Actuated Marine Vessels
by Xiaoling Liang, Jiang Wu, Hao Xie and Yanrong Lu
Mathematics 2024, 12(24), 3942; https://doi.org/10.3390/math12243942 (registering DOI) - 14 Dec 2024
Abstract
In this paper, the problem of preview optimal control for second-order nonlinear systems for marine vessels is discussed on a fully actuated dynamic model. First, starting from a kinematic and dynamic model of a three-degrees-of-freedom (DOF) marine vessel, we derive a fully actuated [...] Read more.
In this paper, the problem of preview optimal control for second-order nonlinear systems for marine vessels is discussed on a fully actuated dynamic model. First, starting from a kinematic and dynamic model of a three-degrees-of-freedom (DOF) marine vessel, we derive a fully actuated second-order dynamic model that involves only the ship’s position and yaw angle. Subsequently, through the higher-order systems methodology, the nonlinear terms in the system were eliminated, transforming the system into a one-order parameterized linear system. Next, we designed an internal model compensator for the reference signal and constructed a new augmented error system based on this compensator. Then, using optimal control theory, we designed the optimal preview controller for the parameterized linear system and the corresponding feedback parameter matrices, which led to the preview controller for the original second-order nonlinear system. Finally, a numerical simulation indicates that the controller designed in this paper is highly effective. Full article
(This article belongs to the Special Issue Analysis and Applications of Control Systems Theory)
16 pages, 3077 KiB  
Article
Comparison Between Numerical and Experimental Methodologies for Total Enthalpy Determination in Scirocco PWT
by Antonio Smoraldi and Luigi Cutrone
Aerospace 2024, 11(12), 1023; https://doi.org/10.3390/aerospace11121023 (registering DOI) - 14 Dec 2024
Abstract
Arc-jet facility tests are critical for replicating the extreme thermal conditions encountered during high-speed planetary entry, where the precise determination of flow enthalpy is essential. Despite its importance, a systematic comparison of methods for determining enthalpy in the Scirocco Plasma Wind Tunnel had [...] Read more.
Arc-jet facility tests are critical for replicating the extreme thermal conditions encountered during high-speed planetary entry, where the precise determination of flow enthalpy is essential. Despite its importance, a systematic comparison of methods for determining enthalpy in the Scirocco Plasma Wind Tunnel had not yet been conducted. This study evaluates three experimental techniques—the sonic throat method, the heat balance method, and the heat transfer method—under various operating conditions in the Scirocco facility, employing a nozzle C configuration (10° half-angle conical nozzle with a 90 cm exit diameter). These methods are compared with computational fluid dynamics (CFDs) simulations to address discrepancies between experimental and predicted enthalpy and heat flux values. Significant deviations between measured and simulated results prompted a reassessment of the numerical and experimental models. Initially, the Navier–Stokes model, which assumes chemically reacting, non-equilibrium flows and fully catalytic copper walls, underestimated the heat flux. By incorporating partial catalytic behavior for the copper probe surface, the CFD results showed better agreement with the experimental data, providing a more accurate representation of heat flux and flow enthalpy within the test environment. Full article
(This article belongs to the Special Issue Thermal Protection System Design of Space Vehicles)
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Figure 1
<p>Simplified scheme of the heat balance methodology for the determination of the mass-averaged total enthalpy, for the CIRA Scirocco facility.</p>
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<p>Simplified scheme of the measurement setup for the stagnation heat flux and pressure. CIRA Scirocco facility.</p>
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<p>Tip of standard 100 mm diameter hemispherical copper-cooled probe. Gardon gauge and pressure ports are highlighted.</p>
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<p>Computational domain and mesh for Scirocco rebuilding test cases.</p>
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<p>Final comparison of enthalpy determination methods: enthalpy values, computed using various methods, are plotted against the Zoby-derived enthalpy calculated from heat flux measurements. Linear interpolations of these data and error bars are also shown for each method.</p>
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<p>Results of CFDs calculations at nozzle throat for Scirocco: (<b>a</b>) enthalpy and temperature and (<b>b</b>) velocity and density. Mean radiation distribution from the free-stream plasma flow at the nozzle exit (Test 13, <a href="#aerospace-11-01023-t001" class="html-table">Table 1</a>).</p>
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<p>Example of radial profile of (<b>a</b>) stagnation heat flux (<math display="inline"><semantics> <mrow> <msub> <mrow> <mi>q</mi> </mrow> <mrow> <mi>s</mi> </mrow> </msub> </mrow> </semantics></math>) and (<b>b</b>) pressure (<math display="inline"><semantics> <mrow> <msub> <mrow> <mi>p</mi> </mrow> <mrow> <mi>s</mi> </mrow> </msub> </mrow> </semantics></math>) of the free-stream plasma flow of the SICROCCO facility (Test 26, <a href="#aerospace-11-01023-t001" class="html-table">Table 1</a>).</p>
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<p>Mean radiation distribution from the free-stream plasma flow (<b>a</b>); transversal profiles extracted from the mean radiation distribution of the free-stream plasma flow for <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>I</mi> </mrow> <mrow> <mi>t</mi> <mi>o</mi> <mi>t</mi> </mrow> </msub> </mrow> </semantics></math> = 3681 A and <math display="inline"><semantics> <mrow> <msub> <mrow> <mover accent="true"> <mrow> <mi>m</mi> </mrow> <mo>˙</mo> </mover> </mrow> <mrow> <mi>AIR</mi> </mrow> </msub> </mrow> </semantics></math> = 0.74 kg/s (Test 4, <a href="#aerospace-11-01023-t001" class="html-table">Table 1</a>) (<b>b</b>).</p>
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<p>Dependence of deduced centerline enthalpy <math display="inline"><semantics> <mrow> <msubsup> <mrow> <mi>H</mi> </mrow> <mrow> <mi>c</mi> </mrow> <mrow> <mn>0</mn> </mrow> </msubsup> </mrow> </semantics></math> on assumed catalytic efficiency <math display="inline"><semantics> <mrow> <mi>γ</mi> </mrow> </semantics></math> for Scirocco (test 26–28, <a href="#aerospace-11-01023-t001" class="html-table">Table 1</a>).</p>
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16 pages, 6479 KiB  
Article
Adaptive Control of Pressure Difference in Abrasive Flow Machining for Inner Hole with High Depth/Diameter Ratio
by Yaojie Cai, Panyu Qian, Donghui Wen, Guixiang Jin, Mingsheng Jin, Qiaoling Yuan and Li Zhang
Materials 2024, 17(24), 6123; https://doi.org/10.3390/ma17246123 (registering DOI) - 14 Dec 2024
Abstract
To address the issue of uneven pressure distribution in the abrasive flow field within the inner hole of components with a large depth/diameter ratio, an adaptive control strategy for regulating flow field pressure difference is proposed in this paper. The strategy was based [...] Read more.
To address the issue of uneven pressure distribution in the abrasive flow field within the inner hole of components with a large depth/diameter ratio, an adaptive control strategy for regulating flow field pressure difference is proposed in this paper. The strategy was based on the effects of pressure fluctuations at the abrasive flow inlet and outlet on pressure distribution patterns and pressure changes within the inner hole flow field, as derived from numerical simulations. An adaptive control fixture was also designed, enabling dynamic adjustments to the fixture gap, which significantly reduced the pressure difference in the flow field. Experimental results demonstrated that the surface texture uniformity of the inner hole was greatly improved after adaptive control. The non-uniformity in surface roughness after control was 59.1% lower compared to pre-control conditions, indicating improved machining consistency. Furthermore, the maximum reduction in surface roughness increased from 1.146 μm to 1.844 μm, and processing efficiency was notably enhanced. Full article
(This article belongs to the Section Materials Simulation and Design)
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Figure 1

Figure 1
<p>The principle of abrasive flow machining. (<b>a</b>) Abrasive moves from bottom to top. (<b>b</b>) Abrasive moves from top to bottom. (<b>c</b>) Material removal mechanism of abrasive flow machining.</p>
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<p>Processing platform and fixture structure. (<b>a</b>) Abrasive flow extrusion equipment. (<b>b</b>) Integral fixture. (<b>c</b>) Integral fixture section view.</p>
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<p>(<b>a</b>) The workpiece. (<b>b</b>) Hole surfaces under different processing methods.</p>
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<p>Comparison of material removal before and after abrasive flow machining on surfaces processed by different processes: (<b>a</b>) reaming machining, (<b>b</b>) boring machining, (<b>c</b>) grinding processing, (<b>d</b>) wire cutting processing, and (<b>e</b>) polishing processing.</p>
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<p>Uniformity comparison before and after abrasive flow machining for surfaces processed by different processes.</p>
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<p>Variations in inlet and outlet pressure differences: (<b>a</b>) flow field pattern, (<b>b</b>) flow field model, and (<b>c</b>) different outlet areas.</p>
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<p>Effects of inlet and outlet pressure differences: (<b>a</b>) pressure distribution along the circular hole wall, and (<b>b</b>) pressure differential changes across each unit.</p>
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<p>The regulation strategy: (<b>a</b>) traditional AFM and (<b>b</b>) adaptive motion.</p>
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<p>Schematic of the adaptive differential pressure control system.</p>
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<p>Real-time control flowchart.</p>
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<p>Overall structure diagram: (<b>a</b>) three-dimensional model and control structure opening/closing schematic and (<b>b</b>) two-dimensional sectional view.</p>
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<p>The working flowchart of the experimental structure.</p>
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<p>Test platform.</p>
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<p>(<b>a</b>) Comparison of 2D surface texture before and after regulation and (<b>b</b>) comparison of 3D surface profiles before and after regulation.</p>
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17 pages, 4904 KiB  
Article
Numerical and Experimental Determination of the Bore Throughput Controlling the Operation of the Differential Section of a Pneumatic Brake Valve
by Marcin Kisiel, Dariusz Szpica and Jarosław Czaban
Appl. Sci. 2024, 14(24), 11690; https://doi.org/10.3390/app142411690 (registering DOI) - 14 Dec 2024
Abstract
Purpose: To assess the applicability of computational fluid dynamics (CFDs) in determining the flow parameters of inter-chamber nozzle openings in the differential section of a trailer air brake valve. Methodology: Numerical calculations were performed using SolidWorks Flow Simulation (SW-FS) and Ansys Fluent (A-F) [...] Read more.
Purpose: To assess the applicability of computational fluid dynamics (CFDs) in determining the flow parameters of inter-chamber nozzle openings in the differential section of a trailer air brake valve. Methodology: Numerical calculations were performed using SolidWorks Flow Simulation (SW-FS) and Ansys Fluent (A-F) with defined boundaries and initial conditions. The results were validated experimentally using the reservoir method and the lumped method for throughput identification. Results: CFD calculations determined the functional dependence of the mass flow rate on the nozzle diameter for a range of control nozzle bore diameters. The SW-FS 2024 and A-F 2023 software showed a mean difference of 4.66% in the total characteristics. The experimental validation resulted in differences of 6.31% (SW-FS) and 5.79% (A-F) compared to the CFD results. Theoretical contribution: This study fills a research gap in applying CFDs to brake valve performance analyses, providing a foundation for developing more complex numerical models to evaluate individual valve sections. Practical implications: The findings suggest that CFDs can be used to accurately determine the flow parameters of control nozzle orifices, with an average of a 6.05% difference from experimental tests. This approach can potentially streamline the design and optimization process for pneumatic brake valves. Full article
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Figure 1
<p>Schematic of differential section of pneumatic braking valve, based on construction of relay valve Visteon 44100110 [<a href="#B31-applsci-14-11690" class="html-bibr">31</a>]: 1—body; 2—piston; 3—guide; 4—cap; 5—spring; 6—nozzle; 7—sealing.</p>
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<p>Model view: (<b>a</b>) dimensions and initial inlet and outlet boundaries, d<sub>n</sub> = 0.75 mm, nozzle diameter (0.75…5.00) mm; (<b>b</b>) model prepared in Ansys Fluent with defined inlet and outlet pressure boundaries.</p>
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<p>Mesh distribution for different meshes, SW-FS (3.00 mm nozzle): (<b>a</b>) global mesh in 4th size, (<b>b</b>) global mesh in 7th size, and (<b>c</b>) global mesh in 7th with local advanced refinement.</p>
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<p>Pressure distribution for different meshes, SW-FS (3.00 mm nozzle): (<b>a</b>) global mesh in 4th size, (<b>b</b>) global mesh in 7th size, and (<b>c</b>) global mesh in 7th with local advanced refinement.</p>
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<p>Mesh distribution for different mesh types, A-F (3.00 mm nozzle): (<b>a</b>) tetrahedral, (<b>b</b>) polyhedral, and (<b>c</b>) polyhexcore.</p>
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<p>Pressure distribution for different mesh types, A-F (2.25 mm nozzle): (<b>a</b>) tetrahedral, (<b>b</b>) polyhedral, and (<b>c</b>) polyhexcore.</p>
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<p>Structural diagram of the test stand: 1—compressor; 2—pressure regulator; 3, 5, 7, 10—solenoid valve; 4—choke valve; 6, 9—40.23 × 10<sup>−3</sup> m<sup>3</sup> tank; 8—tested nozzle; 11–13—pressure transducer; 14—measuring section; 15—Raspberry Pi; 16—MATLAB software, R2024b.</p>
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<p>Mathematical description of the stand—schematic.</p>
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<p>Pressure waveforms: (<b>a</b>) experimental for nozzle diameter 3.00 mm; (<b>b</b>) experimental and model waveforms in a limited area of stable flow.</p>
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<p>Static flow characteristics determined using SW-FS for different mesh types.</p>
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<p>Static flow characteristics determined using A-F for different mesh types.</p>
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<p>Static flow characteristics determined using experimental and empirical studies on concept test bench.</p>
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<p>Comparison view of static flow characteristics determined using experimental and numerical studies.</p>
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25 pages, 5094 KiB  
Article
Development of Piezoelectric Inertial Rotary Motor for Free-Space Optical Communication Systems
by Laurynas Šišovas, Andrius Čeponis, Dalius Mažeika and Sergejus Borodinas
Micromachines 2024, 15(12), 1495; https://doi.org/10.3390/mi15121495 (registering DOI) - 14 Dec 2024
Abstract
This paper presents the design, development, and investigation of a novel piezoelectric inertial motor whose target application is the low Earth orbit (LEO) temperature conditions. The motor utilizes the inertial stick–slip principle, driven by the first bending mode of three piezoelectric bimorph plates, [...] Read more.
This paper presents the design, development, and investigation of a novel piezoelectric inertial motor whose target application is the low Earth orbit (LEO) temperature conditions. The motor utilizes the inertial stick–slip principle, driven by the first bending mode of three piezoelectric bimorph plates, and is compact and lightweight, with a total volume of 443 cm3 and a mass of 28.14 g. Numerical simulations and experimental investigations were conducted to assess the mechanical and electromechanical performance of the motor in a temperature range from −20 °C to 40 °C. The results show that the motor’s resonant frequency decreases from 12,810 Hz at −20 °C to 12,640 Hz at 40 °C, with a total deviation of 170 Hz. The displacement amplitude increased from 12.61 μm to 13.31 μm across the same temperature range, indicating an improved mechanical response at higher temperatures. The motor achieved a maximum angular speed up to 1200 RPM and a stall torque of 13.1 N·mm at an excitation voltage amplitude of 180 Vp-p. The simple and scalable design, combined with its stability under varying temperature conditions, makes it well suited for small satellite applications, particularly in precision positioning tasks such as satellite orientation and free-space optical (FSO) communications. Full article
(This article belongs to the Special Issue Advances in Ultrasonic Motors)
17 pages, 9712 KiB  
Article
Oil Cooling Method for Internal Heat Sources in the Outer Rotor Hub Motor of ElectricVehicle and Thermal Characteristics Research
by Fulai Guo and Chengning Zhang
Energies 2024, 17(24), 6312; https://doi.org/10.3390/en17246312 (registering DOI) - 14 Dec 2024
Abstract
The heat dissipation of wheel hub motors is difficult due to the limited installation space and harsh working environment, which will lead to an increase in the operating temperature of the motor. Excessive motor temperature will limit the further increase in the power [...] Read more.
The heat dissipation of wheel hub motors is difficult due to the limited installation space and harsh working environment, which will lead to an increase in the operating temperature of the motor. Excessive motor temperature will limit the further increase in the power density and torque density of the motor. Taking the outer rotor hub motor as the research object, a heat dissipation structure is designed by passing oil through the stator core, slot wedge, and the motor end, mainly the cooling stator core, slot winding, and the end winding from inside of the motor. The internal heat is mainly carried away through lubricating oil by convective heat transfer and heat conduction. The heat distribution model of the motor based on the new cooling structure is established using the centralized parameter heat network method. The Motor-CAD software is used to build the motor 3d model and simulate the motor temperature field, and the temperature distribution in the motor under the rated working condition is analyzed. The temperature rising test of the motor prototype are performed on a bench built in the laboratory. The experimental results are consistent with the simulation results of the temperature field, which verify the rationality of the model. Full article
(This article belongs to the Section E: Electric Vehicles)
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Figure 1
<p>CAD drawing of the oil-cooled hub motor.</p>
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<p>Oil flow diagram of the oil-cooled hub motor.</p>
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<p>3D model drawing of hub oil-cooled motor.</p>
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<p>Motor heat generation and transfer path diagram.</p>
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<p>Overall thermal circuit diagram of the motor.</p>
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<p>Schematic diagram of geometric dimensions of motor teeth.</p>
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<p>Equivalent diagram of stator slot winding.</p>
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<p>Oil shield thermal resistance network.</p>
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<p>Cross-section temperature profile of the oil-cooled motor.</p>
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<p>Temperature distribution diagram of the axial section of the oil-cooled motor.</p>
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<p>Temperature distribution diagram of the water-cooled motor.</p>
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<p>Temperature distribution diagram of the axial section of the oil-cooled motor.</p>
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<p>Temperature distribution diagram of the axial section of the oil-cooled motor.</p>
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<p>Motor prototype.</p>
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<p>Test diagram of the oil-cooled motor bench.</p>
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<p>One-hour temperature increase curve of the oil-cooled motor.</p>
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<p>One-hour temperature increase curve of the oil-cooled motor and water-cooled motor.</p>
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12 pages, 2108 KiB  
Article
Stochastic Model for a Piezoelectric Energy Harvester Driven by Broadband Vibrations
by Angelo Sanfelice, Luigi Costanzo, Alessandro Lo Schiavo, Alessandro Sarracino and Massimo Vitelli
Entropy 2024, 26(12), 1097; https://doi.org/10.3390/e26121097 (registering DOI) - 14 Dec 2024
Abstract
We present an experimental and numerical study of a piezoelectric energy harvester driven by broadband vibrations. This device can extract power from random fluctuations and can be described by a stochastic model, based on an underdamped Langevin equation with white noise, which mimics [...] Read more.
We present an experimental and numerical study of a piezoelectric energy harvester driven by broadband vibrations. This device can extract power from random fluctuations and can be described by a stochastic model, based on an underdamped Langevin equation with white noise, which mimics the dynamics of the piezoelectric material. A crucial point in the modelisation is represented by the appropriate description of the coupled load circuit that is necessary to harvest electrical energy. We consider a linear load (resistance) and a nonlinear load (diode bridge rectifier connected to the parallel of a capacitance and a load resistance), and focus on the characteristic curve of the extracted power as a function of the load resistance, in order to estimate the optimal values of the parameters that maximise the collected energy. In both cases, we find good agreement between the numerical simulations of the theoretical model and the results obtained in experiments. In particular, we observe a non-monotonic behaviour of the characteristic curve which signals the presence of an optimal value for the load resistance at which the extracted power is maximised. We also address a more theoretical issue, related to the inference of the non-equilibrium features of the system from data: we show that the analysis of high-order correlation functions of the relevant variables, when in the presence of nonlinearities, can represent a simple and effective tool to check the irreversible dynamics. Full article
(This article belongs to the Special Issue Control of Driven Stochastic Systems: From Shortcuts to Optimality)
24 pages, 2931 KiB  
Article
Numerical Study on the Hydrodynamics of Fish Swimming with Different Morphologies in Oblique Flow
by Fulong Shi, Yu Tian, Jianjian Xin, Chuanzhong Ou, Zhiwei Li and Minjia Rao
J. Mar. Sci. Eng. 2024, 12(12), 2302; https://doi.org/10.3390/jmse12122302 (registering DOI) - 14 Dec 2024
Viewed by 2
Abstract
In confined and intricate aquatic environments, fish frequently encounter the need to propel themselves under oblique flow conditions. This study employs a self-developed ghost-cell immersed boundary method coupled with GPU acceleration technology to numerically simulate the propulsion dynamics of flexible biomimetic fish swimming [...] Read more.
In confined and intricate aquatic environments, fish frequently encounter the need to propel themselves under oblique flow conditions. This study employs a self-developed ghost-cell immersed boundary method coupled with GPU acceleration technology to numerically simulate the propulsion dynamics of flexible biomimetic fish swimming in oblique flow environments. This research scrutinizes diverse biomimetic fish fin morphologies, with particular emphasis on variations in the Strouhal number and angle of attack, to elucidate hydrodynamic performance and wake evolution. The results demonstrate that as the fin thickness increases, the propulsion efficiency decreases within the Strouhal number range of St = 0.2, 0.4. Conversely, within the range of St = 0.6 to 1.0, the efficiency variations stabilize. For all three fin morphologies, an increase in the Strouhal number significantly augmented both the lift-to-drag ratio and thrust, concomitant with a transition in the wake structure from smaller vortices to a larger alternating vortex shedding pattern. Furthermore, within the Strouhal number range of St = 0.2 to 0.4, the propulsion efficiency exhibits an increase, whereas in the range of St = 0.6 to 1.0, the propulsion efficiency stabilizes. As the angle of attack increases, the drag coefficient increases significantly, while the lift coefficient exhibits a diminishing rate of increase. An increased fin thickness adversely affects the hydrodynamic performance. However, this effect attenuates at higher Strouhal numbers. Conversely, variations in the angle of attack manifest a more pronounced effect on hydrodynamic performance. A thorough investigation and implementation of the hydrodynamic mechanisms demonstrated by swimming fish in complex flow environments enables the development of bio-inspired propulsion systems that not only accurately replicate natural swimming patterns, but also achieve superior locomotion performance and robust environmental adaptability. Full article
(This article belongs to the Section Ocean Engineering)
20 pages, 3282 KiB  
Article
A Near-Wall Methodology for Large-Eddy Simulation Based on Dynamic Hybrid RANS-LES
by Michael Tullis and D. Keith Walters
Entropy 2024, 26(12), 1095; https://doi.org/10.3390/e26121095 (registering DOI) - 14 Dec 2024
Viewed by 95
Abstract
Attempts to mitigate the computational cost of fully resolved large-eddy simulation (LES) in the near-wall region include both the hybrid Reynolds-averaged Navier–Stokes/LES (HRL) and wall-modeled LES (WMLES) approaches. This paper presents an LES wall treatment method that combines key attributes of the two, [...] Read more.
Attempts to mitigate the computational cost of fully resolved large-eddy simulation (LES) in the near-wall region include both the hybrid Reynolds-averaged Navier–Stokes/LES (HRL) and wall-modeled LES (WMLES) approaches. This paper presents an LES wall treatment method that combines key attributes of the two, in which the boundary layer mesh is sized in the streamwise and spanwise directions comparable to WMLES, and the wall-normal mesh is comparable to a RANS simulation without wall functions. A mixing length model is used to prescribe an eddy viscosity in the near-wall region, with the mixing length scale limited based on local mesh size. The RANS and LES regions are smoothly blended using the dynamic hybrid RANS-LES (DHRL) framework. The results are presented for the turbulent channel flow at two Reynolds numbers, and comparison to the DNS results shows that the mean and fluctuating quantities are reasonably well predicted with no apparent log-layer mismatch. A detailed near-wall meshing strategy for the proposed method is presented, and estimates indicate that it can be implemented with approximately twice the number of grid points as traditional WMLES, while avoiding the difficulties associated with analytical or numerical wall functions and modified wall boundary conditions. Full article
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Figure 1
<p>Illustration of near-wall meshing strategy for channel flow test case.</p>
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<p>Mean velocity profiles for representative coarse and fine mesh cases using WMRLES, with comparison to DNS results [<a href="#B29-entropy-26-01095" class="html-bibr">29</a>]: (<b>a</b>) Linear; (<b>b</b>) Semilog.</p>
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<p>Turbulent kinetic energy profiles for representative coarse and fine mesh cases using WMRLES, with comparison to DNS results [<a href="#B29-entropy-26-01095" class="html-bibr">29</a>]: (<b>a</b>) Linear; (<b>b</b>) Semilog.</p>
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<p>Reynolds shear stress profiles for representative coarse and fine mesh cases using WMRLES, with comparison to DNS results [<a href="#B29-entropy-26-01095" class="html-bibr">29</a>]: (<b>a</b>) Resolved stress (Linear); (<b>b</b>) Resolved stress (Semilog); (<b>c</b>) Sum of resolved and modeled stress (Linear); (<b>d</b>) Sum of resolved and modeled stress (Semilog).</p>
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<p>Distribution of the DHRL blending function, <math display="inline"><semantics> <mrow> <mi>α</mi> </mrow> </semantics></math>. The mixing length RANS model is only active in a region close to the wall.</p>
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<p>Mean velocity (<b>a</b>) and turbulent kinetic energy (<b>b</b>) profiles for cases with different values of the mixing length limiting coefficient, <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>C</mi> </mrow> <mrow> <mi>d</mi> </mrow> </msub> </mrow> </semantics></math>.</p>
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<p>Profiles of DHRL blending parameter (<b>a</b>) and normalized turbulent viscosity (<b>b</b>) for Case 2. The grid-based RANS mixing length limit is applied sufficiently far from the wall that the simulation is fully LES at that location.</p>
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<p>Profiles of mean velocity (<b>a</b>) and turbulent kinetic energy (<b>b</b>) comparing results obtained with different upwind weighting in the convective flux term. Case 1 is most numerically dissipative; Case 6 is least numerically dissipative.</p>
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<p>Illustration of the effect of subgrid model. Cases 7 and 14 were run using the WALE explicit model, Cases 1, 6, and 13 were run using MILES: (<b>a</b>) Mean velocity, coarse grid; (<b>b</b>) Turbulent kinetic energy, coarse grid; (<b>c</b>) Mean velocity, fine grid; (<b>d</b>) Turbulent kinetic energy, fine grid.</p>
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<p>Profiles of mean velocity and turbulent kinetic energy using the coarse base grid and different near-wall meshing parameters: (<b>a</b>,<b>c</b>) Effect of varying wall-normal stretching ratio with <math display="inline"><semantics> <mrow> <msubsup> <mrow> <mi>y</mi> </mrow> <mrow> <mi>w</mi> </mrow> <mrow> <mo>+</mo> </mrow> </msubsup> <mo>=</mo> <mn>1</mn> </mrow> </semantics></math>; (<b>b</b>,<b>d</b>) Effect of varying wall-normal stretching ratio with <math display="inline"><semantics> <mrow> <msubsup> <mrow> <mi>y</mi> </mrow> <mrow> <mi>w</mi> </mrow> <mrow> <mo>+</mo> </mrow> </msubsup> <mo>=</mo> <mn>2</mn> </mrow> </semantics></math>.</p>
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<p>Profiles of mean velocity (<b>a</b>) and turbulent kinetic energy (<b>b</b>) comparing results obtained using traditional WMLES. Different cases represent different levels of upwinding in the convective flux term or different subgrid stress models.</p>
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<p>Profiles of mean velocity (<b>a</b>) and turbulent kinetic energy (<b>b</b>) comparing results obtained using DHRL, DES, IDDES, and WMRLES.</p>
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<p>Comparison of WMRLES results with DNS data [<a href="#B37-entropy-26-01095" class="html-bibr">37</a>] for the case of <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>R</mi> <mi>e</mi> </mrow> <mrow> <mi>τ</mi> </mrow> </msub> <mo>=</mo> <mn>2000</mn> </mrow> </semantics></math>: (<b>a</b>) mean velocity; (<b>b</b>) turbulent kinetic energy.</p>
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11 pages, 356 KiB  
Article
Perturbational Decomposition Analysis for Quantum Ising Model with Weak Transverse Fields
by Youning Li, Junfeng Huang, Chao Zhang and Jun Li
Entropy 2024, 26(12), 1094; https://doi.org/10.3390/e26121094 (registering DOI) - 14 Dec 2024
Viewed by 111
Abstract
This work presents a perturbational decomposition method for simulating quantum evolution under the one-dimensional Ising model with both longitudinal and transverse fields. By treating the transverse field terms as perturbations in the expansion, our approach is particularly effective in systems with moderate longitudinal [...] Read more.
This work presents a perturbational decomposition method for simulating quantum evolution under the one-dimensional Ising model with both longitudinal and transverse fields. By treating the transverse field terms as perturbations in the expansion, our approach is particularly effective in systems with moderate longitudinal fields and weak to moderate transverse fields relative to the coupling strength. Through systematic numerical exploration, we characterize parameter regimes and evolution time windows where the decomposition achieves measurable improvements over conventional Trotter decomposition methods. The developed perturbational approach and its characterized parameter space may provide practical guidance for choosing appropriate simulation strategies in different parameter regimes of the one-dimensional Ising model. Full article
(This article belongs to the Special Issue Quantum Information: Working towards Applications)
15 pages, 2994 KiB  
Article
New Mixed Skyhook and Displacement–Velocity Control for Improving the Effectiveness of Vibration Isolation in the Lateral Suspension System of a Railway Vehicle
by Yaojung Shiao and Tan-Linh Huynh
Appl. Sci. 2024, 14(24), 11680; https://doi.org/10.3390/app142411680 (registering DOI) - 14 Dec 2024
Viewed by 150
Abstract
Demands for increasing the velocity and load carrying capacity of railway vehicles are a challenge to the passive suspension systems used for isolating the lateral vibrations of the carbody of a railway vehicle, especially under a wide range of vibration frequencies. Semiactive suspension [...] Read more.
Demands for increasing the velocity and load carrying capacity of railway vehicles are a challenge to the passive suspension systems used for isolating the lateral vibrations of the carbody of a railway vehicle, especially under a wide range of vibration frequencies. Semiactive suspension systems, especially systems with a magnetorheological damper (MRD), have been investigated as promising alternatives. Many control algorithms have been developed for fine-tuning the damping force generated by MRDs, but they have been ineffective in isolating carbody vibrations at or around the resonance frequencies of the carbody and bogie. This study aims to develop a mixed control algorithm for a new skyhook (SH) control and a new displacement–velocity (DV) control to improve the effectiveness of vibration isolation in resonance frequency regions while producing high performance across the remaining frequencies. The damping coefficient of the new SH controller depends on the vibration velocity of the components of the suspension system and the skyhook damping variable, whereas that of the new DV controller depends on the velocity and displacement of the components of the suspension system and the stiffness variable. The values of the skyhook damping variable and stiffness variable were identified from the vibration velocity of the carbody using the trial and error method. The results of a numerical simulation problem indicated that the proposed control method worked effectively at low frequencies, similar to the conventional SH–DV controller, whereas it significantly improved ride comfort at high frequencies; at the resonance frequency of the bogie (14.6 Hz), in particular, it reduced the vibration velocity and acceleration of the carbody by 50.85% and 45.39%, respectively, compared with the conventional mixed SH–DV controller. The simplicity and high performance of the new mixed SH–DV control algorithm makes it a promising tool to be applied to the semiactive suspension of railway vehicles in real-world applications. Full article
(This article belongs to the Special Issue Novel Advances in Noise and Vibration Control)
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<p>The quarter railway vehicle model.</p>
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<p>(<b>a</b>) The velocity region division and (<b>b</b>) the contribution coefficient for the new SH control under the vibration velocity of the carbody. (<b>a</b>): the regions (1) 0 to 0.0075 m/s, (2) 0.0075 to 0.025 m/s, (3) 0.025 to 0.1 m/s, and (4) ≥0.1 m/s, assumed to correspond the carbody vibration at the high frequency domain, medium frequency domain, around the second-order resonance frequency domain, and around the first-order resonance frequency domain, respectively. A, C, D, E, G, and H are the intersections of region thresholds and line graph of vibration velocity of carbody; B and F are the peak at the first and second-order resonance frequencies, respectively.</p>
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<p>Comparisons of the vibration transmissibility under different controls.</p>
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<p>The RMS of (<b>a</b>) displacement, (<b>b</b>) velocity, and (<b>c</b>) acceleration of the carbody.</p>
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<p>Damping contribution coefficient for the new DV control according to the vibration velocity of the carbody.</p>
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<p>Comparisons of the vibration transmissibility of different controls under sinusoidal signal input with amplitudes of ±5 mm.</p>
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<p>The RMS of (<b>a</b>) displacement, (<b>b</b>) velocity, and (<b>c</b>) acceleration of the carbody under sinusoidal signal input with amplitudes of ±5 mm.</p>
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<p>Comparisons of the vibration transmissibility of the carbody under three control algorithms under sinusoidal signal input with amplitudes of ±5 mm.</p>
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<p>The RMS of (<b>a</b>) displacement, (<b>b</b>) velocity, and (<b>c</b>) acceleration of the carbody under sinusoidal signal input with amplitudes of ±5 mm.</p>
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17 pages, 8023 KiB  
Article
Angiogenesis Dynamics: A Computational Model of Intravascular Flow Within a Structural Adaptive Vascular Network
by Sahar Jafari Nivlouei, Ana Guerra, Jorge Belinha, Naside Mangir, Sheila MacNeil, Christiane Salgado, Fernando Jorge Monteiro and Renato Natal Jorge
Biomedicines 2024, 12(12), 2845; https://doi.org/10.3390/biomedicines12122845 (registering DOI) - 13 Dec 2024
Viewed by 168
Abstract
Background: Understanding vascular development and the key factors involved in regulating angiogenesis—the growth of new blood vessels from pre-existing vasculature—is crucial for developing therapeutic approaches to promote wound healing. Computational techniques offer valuable insights into improving angiogenic strategies, leading to enhanced tissue regeneration [...] Read more.
Background: Understanding vascular development and the key factors involved in regulating angiogenesis—the growth of new blood vessels from pre-existing vasculature—is crucial for developing therapeutic approaches to promote wound healing. Computational techniques offer valuable insights into improving angiogenic strategies, leading to enhanced tissue regeneration and improved outcomes for chronic wound healing. While chorioallantoic membrane (CAM) models are widely used for examining fundamental mechanisms in vascular development, they lack quantification of essential parameters such as blood flow rate, intravascular pressure, and changes in vessel diameter. Methods: To address this limitation, the current study develops a novel two-dimensional mathematical model of angiogenesis, integrating discrete and continuous modelling approaches to capture intricate cellular interactions and provide detailed information about the capillary network’s structure. The proposed hybrid meshless-based model simulates sprouting angiogenesis using the in vivo CAM system. Results: The model successfully predicts the branching process with a total capillary volume fraction deviation of less than 15% compared to experimental data. Additionally, it implements blood flow through the capillary network and calculates the distribution of intravascular pressure and vessel wall shear stress. An adaptive network is introduced to consider capillary responses to hemodynamic and metabolic stimuli, reporting structural diameter changes across the generated vasculature network. The model demonstrates its robustness by verifying numerical outcomes, revealing statistically significant differences with deviations in key parameters, including diameter, wall shear stress (p < 0.05), circumferential wall stress, and metabolic stimuli (p < 0.01). Conclusion: With its strong predictive capability in simulating intravascular flow and its ability to provide both quantitative and qualitative assessments, this research enhances our understanding of angiogenesis by introducing a biologically relevant network that addresses the functional demands of the tissue. Full article
(This article belongs to the Special Issue Angiogenesis and Related Disorders)
21 pages, 11003 KiB  
Article
A Numerical Study on Impact of Coal Mining Activity and Mine Water Drainage on Flow and Transport Behavior in Groundwater
by Kaisar Ahmat, Hao Lu and Huiquan Liu
Water 2024, 16(24), 3596; https://doi.org/10.3390/w16243596 (registering DOI) - 13 Dec 2024
Viewed by 377
Abstract
Under the dual carbon mission, more and more coal mines will face shutting down in the future and stop treating mine water drainage, which, if it escapes, may cause severe secondary damage to the local groundwater quality. Wudong Coal Mine is a currently [...] Read more.
Under the dual carbon mission, more and more coal mines will face shutting down in the future and stop treating mine water drainage, which, if it escapes, may cause severe secondary damage to the local groundwater quality. Wudong Coal Mine is a currently active subsurface coal mine in Xinjiang, China, that shows high-salinity characteristics. To forecast and discuss future possible groundwater quality damages and potential solutions, we here introduce a model prediction study on the effects of water pollution by coal mine drainage. The study protocol first involves creating a calibrated 2D groundwater flow model by use of FEFLOW software, then designing several flow and solute transport prediction analyses under changing mine water drainage conditions, different pollution source areas and water treatment pumping wells to discuss future prominent flow and transport behavior, as well as water treatment-affecting factors. It has been shown that mine water drainage plays a critical role in maintaining the mine water solute distribution, as without mine draining, local flow and solute distribution change dramatically, altering the groundwater capture zone, and may change the plume-migrating direction from upstream to downstream. A larger pollution source could produce a higher concentration of pollutants and a larger pollution-coverage area. To reduce pollutant concentrations, mine water treatment pumping wells with higher pumping rates can be applied as a useful remedial measure to effectively prevent the pollutant plume front from reaching the important drinking and irrigation water source of the region, Urumqi River. The results of this study can give important suggestions and decision-making support for authorities focused on water treatment and environmental protection decision-making in the region. Full article
(This article belongs to the Section Hydrogeology)
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<p>Study area’s geological location.</p>
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<p>Model boundary condition.</p>
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<p>Model mesh design.</p>
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<p>Initial flow distribution (<b>a</b>) and model flow chart (<b>b</b>).</p>
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<p>Initial calibrated head distribution (<b>a</b>) and hydrogeological parameter zoning map (<b>b</b>).</p>
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<p>Model validation by measured and modeled hydraulic head.</p>
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<p>Flow distribution change at different times.</p>
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<p>Solute distribution at different times without stopping drainage.</p>
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<p>Solute distribution at different times without stopping drainage.</p>
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<p>Base case flow distribution change after stopping mine water drainage.</p>
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<p>Base case solute distribution change with stopping mine water draining in the 5th year.</p>
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<p>Larger pollution source with flow distribution change (<b>a</b>) and solute distribution with stopping drainage (<b>b</b>−<b>d</b>).</p>
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<p>Observation point pollutant concentration history under different pollution source.</p>
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<p>A treatment rate of 200 m<sup>3</sup>/d of well pumping caused a flow distribution change (<b>a</b>) and solute distribution when stopping mine water drainage (<b>b</b>–<b>d</b>).</p>
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<p>Impact of treatment rate of 1000 m<sup>3</sup>/d of well pumping, which caused flow distribution change (<b>a</b>) and solute distribution when stopping mine water drainage (<b>b</b>–<b>d</b>).</p>
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<p>Observation point pollutant concentration history at different pumping rates.</p>
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25 pages, 1569 KiB  
Article
Dual-Channel Supply Chain Pricing Coordination and Channel Selection with Reference Quality Effect Under Blockchain Traceability
by Quanfeng He, Tianrui Zhang, Jiangtao Wang and Jingxuan Li
Symmetry 2024, 16(12), 1650; https://doi.org/10.3390/sym16121650 (registering DOI) - 13 Dec 2024
Viewed by 208
Abstract
This paper uses symmetry to develop a dual-channel supply chain network model, both with and without blockchain technology, ensuring that the solutions for pricing and channel selection are symmetric in both modes. And, in the model that does not employ blockchain technology, mechanisms [...] Read more.
This paper uses symmetry to develop a dual-channel supply chain network model, both with and without blockchain technology, ensuring that the solutions for pricing and channel selection are symmetric in both modes. And, in the model that does not employ blockchain technology, mechanisms are used to make the benefits of centralized and decentralized decision-making symmetrical. Consumers often have varied psychological expectations when choosing products. This paper considers the reference quality effect, where consumers establish a reference quality before making a purchase decision. However, the lack of transparency in product sales across supply chain channels can lead to a disparity between actual and expected product quality, impacting market demand and brand reputation. Therefore, manufacturers must balance increasing profits with meeting consumer demand for product traceability. This paper focuses on a dual-channel supply chain model involving manufacturers, retailers, and consumers. Firstly, the pricing issues and channel selections under centralized decision-making and a Stackelberg game with decentralized decision-making are comparatively analyzed in the mode of without adopting blockchain technology and adopt two-part pricing contract to coordinate. Secondly, the impact of blockchain technology on pricing is examined when it is adopted. Thirdly, pricing issues and channel selection strategies based on actual product quality in the dual-channel supply chain are compared under both models. Finally, numerical simulations validate the findings. The study found that: (1) the reference quality effect has a cross-positive influence on the equilibrium price and profit of a dual-channel supply chain; (2) the two-part pricing contract can mitigate the double-marginal effect and enhance profits; and (3) the adoption of the blockchain technology leads to increased equilibrium prices and total profits in the dual-channel supply chain compared to not using it. This paper offers a theoretical foundation for manufacturers and retailers to develop effective pricing and channel selection strategies in dual-channel operations to achieve higher returns. Full article
(This article belongs to the Section Computer)
19 pages, 1076 KiB  
Article
Study on Mechanical Behavior of a New Three-Dimensional Sensor Under Rock Rheology
by Jiang Xiao, Tongxiaoyu Wang, Yujiang Liu, Yihui Wang, Yulin Wang, Boyuan Zhang and Jianjun Wu
Appl. Sci. 2024, 14(24), 11662; https://doi.org/10.3390/app142411662 - 13 Dec 2024
Viewed by 267
Abstract
Aiming at the problems of the complex in situ stress measurement process, difficult measurement and long-term monitoring, it is particularly important to design a three-dimensional borehole full stress monitoring method based on the principle of rock mass rheological stress recovery, which lays a [...] Read more.
Aiming at the problems of the complex in situ stress measurement process, difficult measurement and long-term monitoring, it is particularly important to design a three-dimensional borehole full stress monitoring method based on the principle of rock mass rheological stress recovery, which lays a foundation for underground construction, such as roadway engineering and tunnel engineering. Through theoretical calculation and mechanical analysis, the magnitude, direction and inclination of the stress at any point in the borehole of the geological body are analyzed. Based on this, a three-dimensional borehole full stress monitor is constructed. At the same time, the rheological stress change process of rock mass around the borehole is analyzed by numerical simulation, the rationality of the three-dimensional borehole full stress monitor is determined, and a new method of borehole surrounding rock stress monitoring is proposed. The results show that: (1) the stress monitoring of the surrounding rock can be realized by the stress recovery principle of a rock mass rheological borehole, and it can be monitored for a long time; (2) the three-dimensional borehole total stress monitor can reflect the size and direction of the six principal stresses of the surrounding rock stress through eight measuring points; (3) the design structure and mechanical properties of the three-dimensional borehole full stress monitor are reasonable, and the linearity and sensitivity of the hydraulic membrane material are reasonable, which can meet the standards of long-term monitoring. Full article
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