[go: up one dir, main page]
More Web Proxy on the site http://driver.im/ skip to main content
research-article

Three-dimensional topology optimization of thermal-fluid-structural problems for cooling system design

Published: 01 December 2020 Publication History

Abstract

In the present study, a topology optimization method of thermal-fluid-structural problems is researched to design the three-dimensional heat sink with load-carrying capability. The optimization is formulated as a mean temperature minimization problem controlled by Navier-Stokes (N-S) equations as well as energy balance and linear elasticity equations. In order to prevent an unrealistic and low load-carrying design, the power dissipation of the fluid device and the normal displacement on the load-carrying surface are taken as constraints. A parallel solver of multi-physics topology optimization problems is built-in Open Field Operation And Manipulation (OpenFOAM) software. The continuous adjoint method is adopted for the sensitivity analysis to make the best use of built-in solvers. With the developed tool, the three-dimensional (3D) thermal-fluid topology optimization is studied. It is found that the Darcy number, which is suitable for fluid design, may cause severe problems in thermal-fluid optimization. The structural features of 3D thermal-fluid-structural problems are also investigated. The “2D extruded designs” are helpful to improve the structural stiffness, and channels with a larger aspect ratio in high-temperature areas improve the cooling performance.

References

[1]
Aage N and Lazarov BS Parallel framework for topology optimization using the method of moving asymptotes Struct Multidiscip Optim 2013 47 493-505
[2]
Aage N, Andreassen E, Lazarov BS, and Sigmund O Giga-voxel computational morphogenesis for structural design Nature 2017 550 84-86
[3]
Alexandersen J, Sigmund O, Aage N (2016) Large scale three-dimensional topology optimisation of heat sinks cooled by natural convection. Int J Heat Mass Tran 100:876–891.
[4]
Au KM, Yu KM, and Chiu WK Visibility-based conformal cooling channel generation for rapid tooling Comput Aided Design 2011 43 356-373
[5]
Bendsoe MP and Kikuchi N Generating optimal topologies in structural design using a homogenization method Comput Methods Appl Mech Eng 1988 71 197-224
[6]
Borrvall T and Petersson J Topology optimization of fluids in stokes flow Int J Numer Methods Fluids 2003 41 77-107
[7]
Dang XP and Park HS Design of U-shape milled groove conformal cooling channels for plastic injection mold Int J Precision Eng Manuf 2011 12 73-84
[8]
Deng YB, Liu ZY, Zhang P, Wu YH, Korvink JG (2010) Optimization of no-moving part fluidic resistance microvalves with low Reynolds number. Proc Ieee Micr Elect:67–70.
[9]
Deng YB, Liu ZY, Zhang P, Liu YS, and Wu YH Topology optimization of unsteady incompressible Navier-Stokes flows J Comput Phys 2011 230 6688-6708
[10]
Dilgen CB, Dilgen SB, Fuhrman DR, Sigmund O, and Lazarov BS Topology optimization of turbulent flows Comput Methods Appl Mech Eng 2018 331 363-393
[11]
Dilgen SB, Dilgen CB, Fuhrman DR, Sigmund O, and Lazarov BS Density based topology optimization of turbulent flow heat transfer systems Struct Multidiscip Optim 2018 57 1905-1918
[12]
Duhring MB, Jensen JS, and Sigmund O Acoustic design by topology optimization J Sound Vib 2008 317 557-575
[13]
Evgrafov A Topology optimization of slightly compressible fluids Zamm-Zeitschrift Fur Angewandte Mathematik Und Mechanik 2006 86 46-62
[14]
Farrell PE, Ham DA, Funke SW, and Rognes ME Automated derivation of the adjoint of high-level transient finite element programs SIAM J Sci Comput 2013 35 C369-C393
[15]
Gersborg-Hansen A, Sigmund O, and Haber RB Topology optimization of channel flow problems Struct Multidiscip Optim 2005 30 181-192
[16]
Gersborg-Hansen A, Bendsoe MP, and Sigmund O Topology optimization of heat conduction problems using the finite volume method Struct Multidiscip Optim 2006 31 251-259
[17]
Giles MB and Pierce NA An introduction to the adjoint approach to design Flow Turbul Combust 2000 65 393-415
[18]
Guest JK and Prevost JH Topology optimization of creeping fluid flows using a Darcy-Stokes finite element Int J Numer Methods Eng 2006 66 461-484
[19]
Kontoleontos E, Papoutsis-Kiachagias E, Zymaris A, Papadimitriou D, and Giannakoglou K Adjoint-based constrained topology optimization for viscous flows, including heat transfer Eng Optimiz 2013 45 941-961
[20]
Kreissl S, Pingen G, and Maute K Topology optimization for unsteady flow Int J Numer Methods Eng 2011 87 1229-1253
[21]
Lazarov BS and Sigmund O Filters in topology optimization based on Helmholtz-type differential equations Int J Numer Methods Eng 2011 86 765-781
[22]
Li CL A feature-based approach to injection mould cooling system design Computer Aided Design 2001 33 1073-1090
[23]
Li CG, Li CL, Liu Y, and Huang Y A new CC-space method to automate the layout design of injection mould cooling system Comput Aided Design 2012 44 811-823
[24]
Li H, Ding X, Meng F, Jing D, MxJIJo H, and Transfer M Optimal design and thermal modelling for liquid-cooled heat sink based on multi-objective topology optimization: an experimental and numerical study Int J Therm Sci 2019 144 118638
[25]
Li H, Ding XH, Jing DL, Xiong M, and Meng FZ Experimental and numerical investigation of liquid-cooled heat sinks designed by topology optimization Int J Thermal Sci 2019 146 UNSP 106065
[26]
Lin JC Optimum cooling system design of a free-form injection mold using an abductive network J Mater Process Technol 2002 120 226-236
[27]
Marta AC, Mader CA, Martins JRRA, Van der Weide E, Alonso JJ (2007) A methodology for the development of discrete adjoint solvers using automatic differentiation tools. Int J Comput Fluid D 21:307–327.
[28]
Nadarajah SK, Jameson A (2013) A comparison of the continuous and discrete adjoint approach to automatic aerodynamic optimization. Can J Earth Sci.
[29]
Nomura T, Sato K, Taguchi K, Kashiwa T, and Nishiwaki S Structural topology optimization for the design of broadband dielectric resonator antennas using the finite difference time domain technique Int J Numer Methods Eng 2007 71 1261-1296
[30]
Nørgaard SA, Sagebaum M, Gauger NR, and Lazarov BS Applications of automatic differentiation in topology optimization Struct Multidiscip Optim 2017 56 1135-1146
[31]
Olesen LH, Okkels F, and Bruus H A high-level programming-language implementation of topology optimization applied to steady-state Navier-Stokes flow Int J Numer Methods Eng 2006 65 975-1001
[32]
Othmer C A continuous adjoint formulation for the computation of topological and surface sensitivities of ducted flows Int J Numer Methods Fluids 2008 58 861-877
[33]
Othmer C, de Villiers E, Weller H (2007) Implementation of a continuous adjoint for topology optimization of ducted flows. 18th AIAA Computational Fluid Dynamics Conference.
[34]
Papoutsis-Kiachagias EM and Giannakoglou KC Continuous adjoint methods for turbulent flows, applied to shape and topology optimization: industrial applications Arch Comput Methods Eng 2014 23 255-299
[35]
Park HS and Pham NH Design of conformal cooling channels for an automotive part Int J Automot Technol 2009 10 87-93
[36]
Peter JEV and Dwight RP Numerical sensitivity analysis for aerodynamic optimization: a survey of approaches Comput Fluids 2010 39 373-391
[37]
Qiao H A systematic computer-aided approach to cooling system optimal design in plastic injection molding Int J Mech Sci 2006 48 430-439
[38]
Sigmund O On the design of compliant mechanisms using topology optimization Mech Struct Mach 1997 25 493-524
[39]
Sigmund O A 99 line topology optimization code written in Matlab Struct Multidiscip Optim 2001 21 120-127
[40]
Sigmund O and Hougaard K Geometric properties of optimal photonic crystals Phys Rev Lett 2008 100 ARTN 153904
[41]
Wang XY, Li Z, Gu JF, Ruan SL, Shen CY, and Wang XC Reducing service stress of the injection-molded polycarbonate window by optimizing mold construction and product structure Int J Adv Manuf Technol 2016 86 1691-1704
[42]
Wiker N, Klarbring A, and Borrvall T Topology optimization of regions of Darcy and Stokes flow Int J Numer Methods Eng 2007 69 1374-1404
[43]
Xu X, Sachs E, and Allen S The design of conformal cooling channels in injection molding tooling Polym Eng Sci 2010 41 1265-1279
[44]
Yaji K, Yamada T, Kubo S, Izui K, and Nishiwaki S A topology optimization method for a coupled thermal–fluid problem using level set boundary expressions Int J Heat Mass Transf 2015 81 878-888
[45]
Yaji K, Ogino M, Chen C, and Fujita K Large-scale topology optimization incorporating local-in-time adjoint-based method for unsteady thermal-fluid problem Struct Multidiscip Optim 2018 58 817-822
[46]
Yoon GH Topological design of heat dissipating structure with forced convective heat transfer J Mech Sci Technol 2010 24 1225-1233
[47]
Yoon GH Topological layout design of electro-fluid-thermal-compliant actuator Comput Methods Appl Mech Eng 2012 209 28-44
[48]
Yoon GH Topology optimization for turbulent flow with Spalart–Allmaras model Comput Methods Appl Mech Eng 2016 303 288-311
[49]
Yu W, Yu KM, Wang CCL, and Zhang Y Automatic design of conformal cooling circuits for rapid tooling Comput Aided Des 2011 43 1001-1010
[50]
Yu M, Ruan S, Wang X, Li Z, and Shen C Topology optimization of thermal–fluid problem using the MMC-based approach Struct Multidiscip Optim 2019 60 151-165
[51]
Zhao X, Zhou M, Liu Y, Ding M, Hu P, Zhu P (2019) Topology optimization of channel cooling structures considering thermomechanical behavior. Struct Multidiscip Optim:1–20.

Cited By

View all
  • (2024)Topology optimization for 3D fluid diode design considering wall-connected structuresStructural and Multidisciplinary Optimization10.1007/s00158-024-03920-w67:12Online publication date: 9-Dec-2024
  • (2024)Additively manufactured conformal cooling channels through topology optimizationStructural and Multidisciplinary Optimization10.1007/s00158-024-03846-367:8Online publication date: 30-Jul-2024
  • (2023)Multidisciplinary topology optimization design of cold plate for active phased antenna arrayStructural and Multidisciplinary Optimization10.1007/s00158-023-03618-566:7Online publication date: 24-Jun-2023
  • Show More Cited By

Recommendations

Comments

Please enable JavaScript to view thecomments powered by Disqus.

Information & Contributors

Information

Published In

cover image Structural and Multidisciplinary Optimization
Structural and Multidisciplinary Optimization  Volume 62, Issue 6
Dec 2020
673 pages

Publisher

Springer-Verlag

Berlin, Heidelberg

Publication History

Published: 01 December 2020
Accepted: 24 August 2020
Revision received: 14 August 2020
Received: 20 November 2019

Author Tags

  1. Topology optimization
  2. Thermal-fluid-structural optimization problem
  3. Continuous adjoint method
  4. Parallel computing
  5. OpenFOAM

Qualifiers

  • Research-article

Funding Sources

Contributors

Other Metrics

Bibliometrics & Citations

Bibliometrics

Article Metrics

  • Downloads (Last 12 months)0
  • Downloads (Last 6 weeks)0
Reflects downloads up to 30 Jan 2025

Other Metrics

Citations

Cited By

View all
  • (2024)Topology optimization for 3D fluid diode design considering wall-connected structuresStructural and Multidisciplinary Optimization10.1007/s00158-024-03920-w67:12Online publication date: 9-Dec-2024
  • (2024)Additively manufactured conformal cooling channels through topology optimizationStructural and Multidisciplinary Optimization10.1007/s00158-024-03846-367:8Online publication date: 30-Jul-2024
  • (2023)Multidisciplinary topology optimization design of cold plate for active phased antenna arrayStructural and Multidisciplinary Optimization10.1007/s00158-023-03618-566:7Online publication date: 24-Jun-2023
  • (2023)Hydraulic pressure control in topology optimization of cooling channels with Darcy flow modelStructural and Multidisciplinary Optimization10.1007/s00158-023-03575-z66:6Online publication date: 19-May-2023
  • (2022)Minimizing creep deformation via topology optimizationFinite Elements in Analysis and Design10.1016/j.finel.2022.103758207:COnline publication date: 15-Sep-2022
  • (2022)An integrated two-step strategy for an optimal design of liquid-cooled channel layout based on the MMC–density approachStructural and Multidisciplinary Optimization10.1007/s00158-022-03315-965:8Online publication date: 1-Aug-2022
  • (2022)Topology optimization for lift–drag problems incorporated with distributed unstructured mesh adaptationStructural and Multidisciplinary Optimization10.1007/s00158-022-03314-w65:8Online publication date: 1-Aug-2022
  • (2022)Efficient multi-stage aerodynamic topology optimization using an operator-based analytical differentiationStructural and Multidisciplinary Optimization10.1007/s00158-022-03208-x65:4Online publication date: 1-Apr-2022
  • (2022)A synergic topology optimization approach on distribution of cooling channels and diverse-intensity heat sources for liquid-cooled heat sinkStructural and Multidisciplinary Optimization10.1007/s00158-021-03113-965:2Online publication date: 1-Feb-2022
  • (2021)Topology optimization of turbulent forced convective heat sinks using a multi-layer thermofluid modelStructural and Multidisciplinary Optimization10.1007/s00158-021-03064-164:6(3835-3859)Online publication date: 14-Sep-2021

View Options

View options

Figures

Tables

Media

Share

Share

Share this Publication link

Share on social media