Thermofluid modeling for concurrent size-topology optimization of heat sinks for planar motors

ZHAO Jiaqi, ZHANG Ming, ZHU Yu, CHENG Rong, LI Xin, WANG Leijie, HU Chuxiong

Journal of Tsinghua University(Science and Technology) ›› 2022, Vol. 62 ›› Issue (3) : 400-407.

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Journal of Tsinghua University(Science and Technology) ›› 2022, Vol. 62 ›› Issue (3) : 400-407. DOI: 10.16511/j.cnki.qhdxxb.2022.25.007
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Thermofluid modeling for concurrent size-topology optimization of heat sinks for planar motors

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Abstract

The thermal-hydraulics of water-cooled heat sinks for planar motors were analyzed using a thermofluid model of a heat sink to concurrently optimize the heat sink size and topology. The three-layer thermofluid model of the heat sink included the coupled flow and heat transfer effects between the cover plates and the fluid-solid mixing channel including the influence of the flow channel thickness on the thermal-hydraulics. The model used a porosity model to describe the channel topology and a continuous-adjoint structural optimization model for the geometric variables related to the channel topology and thickness in a concurrent size-topology optimization scheme. Various numerical examples show the accuracy and efficiency of the three-layer thermofluid model and the size-topology optimization scheme. The three-layer model uses 10% less calculational time than full 3D models while still accurately predicting the temperature distribution. The optimized heat sinks have unique topologies with up to 30.82% better heat transfer than baseline designs. This concurrent approach is efficient and obtains designs that are competitive with discrete optimization approach results.

Key words

heat sink / thermofluid modeling / multi-layer model / topology optimization / size optimization / concurrent optimization

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ZHAO Jiaqi, ZHANG Ming, ZHU Yu, CHENG Rong, LI Xin, WANG Leijie, HU Chuxiong. Thermofluid modeling for concurrent size-topology optimization of heat sinks for planar motors[J]. Journal of Tsinghua University(Science and Technology). 2022, 62(3): 400-407 https://doi.org/10.16511/j.cnki.qhdxxb.2022.25.007

References

[1] MOORE A L, SHI L. Emerging challenges and materials for thermal management of electronics[J]. Materials Today, 2014, 17(4):163-174.
[2] 袁丁. 多自由度无铁芯永磁式平面电机的建模与设计方法研究[D]. 北京:清华大学, 2019.YUAN D. Modeling and design method for multi-DOF ironless permanent magnet planar motor[D]. Beijing:Tsinghua University, 2019. (in Chinese)
[3] 曹家勇, 朱煜, 汪劲松, 等. 平面电动机设计、控制与应用技术综述[J]. 电工技术学报, 2005, 20(4):1-8.CAO J Y, ZHU Y, WANG J S, et al. Survey of the state of the art in planar motor technology[J]. Transactions of China Electrotechnical Society, 2005, 20(4):1-8. (in Chinese)
[4] ZHANG M, XU Q M, CHENG R, et al. Radiator optimization design for planar motors based on parametric components[J]. Journal of Beijing Institute of Technology, 2020, 29(2):222-231.
[5] AHMED H E, SALMAN B H, KHERBEET A S, et al. Optimization of thermal design of heat sinks:A review[J]. International Journal of Heat and Mass Transfer, 2018, 118:129-153.
[6] WANG L K, MANGLIK R M, SUNDÉN B. Plate heat exchangers:Design, applications and performance[M]. Boston:WIT Press, 2007.
[7] DEDE E M. Multiphysics topology optimization of heat transfer and fluid flow systems[C]//Proceedings of the COMSOL Conference. Boston, USA:COMSOL, 2009.
[8] ALEXANDERSEN J, ANDREASEN C S. A review of topology optimisation for fluid-based problems[J]. Fluids, 2020, 5(1):29.
[9] DBOUK T. A review about the engineering design of optimal heat transfer systems using topology optimization[J]. Applied Thermal Engineering, 2017, 112:841-854.
[10] HAERTEL J H K, ENGELBRECHT K, LAZAROV B S, et al. Topology optimization of a pseudo 3D thermofluid heat sink model[J]. International Journal of Heat and Mass Transfer, 2018, 121:1073-1088.
[11] ZENG T, WANG H, YANG M Z, et al. Topology optimization of heat sinks for instantaneous chip cooling using a transient pseudo-3D thermofluid model[J]. International Journal of Heat and Mass Transfer, 2020, 154:119681.
[12] YAN S N, WANG F W, HONG J, et al. Topology optimization of microchannel heat sinks using a two-layer model[J]. International Journal of Heat and Mass Transfer, 2019, 143:118462.
[13] ZENG S, KANARGI B, LEE P S. Experimental and numerical investigation of a mini channel forced air heat sink designed by topology optimization[J]. International Journal of Heat and Mass Transfer, 2018, 121:663-679.
[14] ZHAO J Q, ZHANG M, ZHU Y, et al. Topology optimization of planar cooling channels using a three-layer thermofluid model in fully developed laminar flow problems[J]. Structural and Multidisciplinary Optimization, 2021, 63(6):2789-2809.
[15] ZHAO J Q, ZHANG M, ZHU Y, et al. Concurrent optimization of the internal flow channel, inlets, and outlets in forced convection heat sinks[J]. Structural and Multidisciplinary Optimization, 2021, 63(1):121-136.
[16] ZHAO J Q, ZHANG M, ZHU Y, et al. Concurrent optimization of additive manufacturing fabricated lattice structures for natural frequencies[J]. International Journal of Mechanical Sciences, 2019, 163:105153.
[17] WELTY J R, WICKS C E, WILSON R E, et al. Fundamentals of momentum, heat, and mass transfer[M]. 5th ed. Hoboken:John Wiley & Sons, 2008.
[18] LAZAROV B S, SIGMUND O. Filters in topology optimization based on Helmholtz-type differential equations[J]. International Journal for Numerical Methods in Engineering, 2011, 86(6):765-781.
[19] WANG F W, LAZAROV B S, SIGMUND O. On projection methods, convergence and robust formulations in topology optimization[J]. Structural and Multidisciplinary Optimization, 2011, 43(6):767-784.
[20] SVANBERG K. The method of moving asymptotes-a new method for structural optimization[J]. International Journal for Numerical Methods in Engineering, 1987, 24(2):359-373.
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