Abstract
This article presents a topology optimization method for the design of the fluid flow channel of cold plate, aiming to solve the problem of heat dissipation for power devices in active phased array antenna (APAA). The density-based topology optimization method is used in the topology optimization design of flow path, in which the conjugate heat transfer analysis is performed. In the numerical experiment, we use the central plane of the cold plate to make a two-dimensional topology optimization, and then the result of two-dimensional topology optimization was used to build the three-dimensional flow channel of cold plate. The results of simulation show that the optimized flow channel has a better ability of heat dissipation compared with the traditional S style flow channel, which provides important reference for engineering application.
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References
Amstutz S (2005) The topological asymptotic for the Navier-stokes equations. ESAIM: Contr Optim Ca Var 11(3):401–425
Bendsøe MP, Kikuchi N (1988) Generating optimal topologies in structural design using a homogenization method. Comput Methods Appl Mech Eng 71:197–224
Bendsøe MP, Sigmund O (2003) Topology optimization—theory, methods and applications. Springer, New York
Borrvall T, Petersson J (2003) Topology optimization of fluids in stokes flow. Int J Numer Methods Fluids 41:77–107
Brookner E (2007) Phased-array and radar breakthroughs. In: IEEE National Radar Conference, pp 37–42
Deaton JD, Grandhi RV (2014) A survey of structural and multidisciplinary continuum topology optimization: post 2000. Struct Multidiscip Optim 49:1–38
Dede E (2009) Multiphysics topology optimization of heat transfer and fluid flow systems. In: Proceedings of the COMSOL users conference
Evgrafov A (2005) The limits of porous materials in the topology optimization of stokes flows. Appl Math Optim 52:263–277
Evgrafov A (2015) On Chebyshev’s method for topology optimization of stokes flows. Struct Multidiscip Optim 51(4):801–811
Gersborg-Hansen A, Sigmund O, Haber RB (2005) Topology optimization of channel flow problems. Struct Multidiscip Optim 30:181–192
Gersborg-Hansen A, Bendsøe MP, Sigmund O (2006) Topology optimization of heat conduction problems using the finite volume method. Struct Multidiscip Optim 31:251–259
Guest JK, Prévost JH (2006) Topology optimization of creeping fluid flows using a Darcy-stokes finite element. Int J Numer Methods Eng 66:461–484
Hoft DJ (1978) Solid state transmit/receive module for the PAVE PAWS (AN/FPS-115) phased Array RADAR. Microw Symp Dig 1978 IEEE-MTT-S Int 78:239–241
Jenkins N, Maute K (2015) Level set topology optimization of stationary fluid-structure interaction problems. Struct Multidiscip Optim 52:179–195
Kawamoto A, Matsumori T, Yamasaki S et al (2011) Heaviside projection based topology optimization by a PDE-filtered scalar function. Struct Multidiscip Optim 44:19–24
Koga AA, Lopes ECC, Villa Nova HF et al (2013) Development of heat sink device by using topology optimization. Int J Heat Mass Transf 64:759–772
Kondoh T, Matsumori T, Kawamoto A (2012) Drag minimization and lift maximization in laminar flows via topology optimization employing simple objective function expressions based on body force integration. Struct Multidiscip Optim 45(5):693–701
Marck G, Nemer M, Harion J-L (2013) Topology optimization of heat and mass transfer problems: laminar flow. Numer Heat Transf Part B 63:508–539
Maute K, Allen M (2004) Conceptual design of aeroelastic structures by topology optimization. Struct Multidiscip Optim 27:27–42
Novotny AA, Sokolowski J (2013) Topological derivatives in shape optimization. Interaction of mechanics and mathematics series. Springer-Verlag, Berlin
Okkels F, Olesen LH, Bruus H (2005) Application of topology optimization in the design of micro- and nanofluidic systems. NSTI-Nanotech 1:575–578
Olesen LH, Okkels F, Bruus H (2006) A high-level programming-language implementation of topology optimization applied to steady-state Navier-stokes flow. Int J Numer Methods Eng 65:975–1001
Plotnikov P, Sokolowski J (2012) Compressible navier-stokes equations. Theory and shape optimization. Springer, Basel
Sá LFN, Amigo RCR, Novotny AA, Silva ECN (2016) Topological derivatives applied to fluid flow channel design optimization problems. Struct Multidiscip Optim 54(2):249–264
Scott M (2003) SAMPSON MFR active phased array antenna. IEEE Int Symp Phased Array Syst Technol 2003:119–123
Sigmund O, Maute K (2013) Topology optimization approaches: a comparative review. Struct Multidiscip Optim 48:1031–1055
Svanberg K (1987) The method of moving asymptotes—a new method for structural optimization. Int J Numer Methods Eng 24:359–373
Yaji K, Yamada T, Kubo S et al (2015) A topology optimization method for a coupled thermal-fluid problem using level set boundary expressions. Int J Heat Mass Transf 81:878–888
Yoon GH (2012) Topological layout design of electro-fluid-thermal-compliant actuator. Comput Methods Appl Mech Eng 209–212:28–44
Zhang YP, Yu XL, Feng QK, Zhang RT (2009) Thermal performance study of integrated cold plate with power module. Appl Therm Eng 29:3568–3573
Acknowledgements
This study is sponsored by the National Natural Science Foundation of China (Grant Nos. 51490661, 51490660) and National Key Basic Research Program of China (973 Program, Grant No. 2015CB857100).
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Qian, S., Wang, W., Ge, C. et al. Topology optimization of fluid flow channel in cold plate for active phased array antenna. Struct Multidisc Optim 57, 2223–2232 (2018). https://doi.org/10.1007/s00158-017-1852-8
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DOI: https://doi.org/10.1007/s00158-017-1852-8