Topology optimization of the manifold microchannels with triple-objective functions

References

• I. A. Ghani, N. A. C. Sidik, and N. Kamaruzaman, “Hydrothermal performance of microchannel heat sink: The effect of channel design,” Int. J. Heat Mass Transfer, vol. 107, pp. 21–44, 2017. DOI: https://doi.org/10.1016/j.ijheatmasstransfer.2016.11.031.
   Web of Science ®Google Scholar
• B. Ozmat, “Interconnect technologies and the thermal performance of MCM,” IEEE Trans. Comp., Hybrids, Manufact. Technol., vol. 15, no. 5, pp. 860–869, 1992. DOI: https://doi.org/10.1109/33.180052.
   Google Scholar
• J. H. Ryu, D. H. Choi, and S. J. Kim, “Three-dimensional numerical optimization of a manifold microchannel heat sink,” Int. J. Heat Mass Transfer, vol. 46, no. 9, pp. 1553–1562, 2003. DOI: https://doi.org/10.1016/S0017-9310(02)00443-X.
   Web of Science ®Google Scholar
• D. B. Tuckerman and R. F. W. Pease, “High-performance heat sinking for VLSI,” IEEE Electron Device Lett, vol. 2, no. 5, pp. 126–129, 1981. DOI: https://doi.org/10.1109/EDL.1981.25367.
   Web of Science ®Google Scholar
• W. Escher, B. Michel, and D. Poulikakos, “A novel high performance, ultra thin heat sink for electronics,” Int. J. Heat Fluid Flow, vol. 31, no. 4, pp. 586–598, 2010. DOI: https://doi.org/10.1016/j.ijheatfluidflow.2010.03.001.
   Web of Science ®Google Scholar
• C. S. Sharma, M. K. Tiwari, and D. Poulikakos, “A simplified approach to hotspot alleviation in microprocessors,” Appl. Thermal Eng., vol. 93, pp. 1314–1323, 2016. DOI: https://doi.org/10.1016/j.applthermaleng.2015.08.086.
   Web of Science ®Google Scholar
• R. van Erp, R. Soleimanzadeh, L. Nela, G. Kampitsis, and E. Matioli, “Co-designing electronics with microfluidics for more sustainable cooling,” Nature, vol. 585, no. 7824, pp. 211–216, 2020. DOI: https://doi.org/10.1038/s41586-020-2666-1.
   PubMed Web of Science ®Google Scholar
• M. M. Rahman and F. Gui, “Experimental measurements of fluid flow and heat transfer in microchannel cooling passages in a chip substrate,” ASME Int. Electr. Packaging Conf., pp. 685–692, 1993.
   Google Scholar
• G. Gamrat, M. Favre-Marinet, and D. Asendrych, “Conduction and entrance effects on laminar liquid flow and heat transfer in rectangular microchannels,” Int. J. Heat Mass Transfer, vol. 48, no. 14, pp. 2943–2954, 2005. DOI: https://doi.org/10.1016/j.ijheatmasstransfer.2004.10.006.
   Web of Science ®Google Scholar
• W. Owhaib and B. Palm, “Experimental investigation of single-phase convective heat transfer in circular microchannels,” Experimental Thermal Fluid Sci., vol. 28, no. 2-3, pp. 105–110, 2004. DOI: https://doi.org/10.1016/S0894-1777(03)00028-1.
   Web of Science ®Google Scholar
• Y. Chen, C. Zhang, M. Shi, and J. Wu, “Three-dimensional numerical simulation of heat and fluid flow in noncircular microchannel heat sinks,” Int. Commun. Heat Mass Transfer, vol. 36, no. 9, pp. 917–920, 2009. DOI: https://doi.org/10.1016/j.icheatmasstransfer.2009.06.004.
   Web of Science ®Google Scholar
• A. A. Alfaryjat, H. A. Mohammed, N. M. Adam, M. K. A. Ariffin, and M. I. Najafabadi, “Influence of geometrical parameters of hexagonal, circular, and rhombus microchannel heat sinks on the thermohydraulic characteristics,” Int. Commun. Heat Mass Transfer, vol. 52, pp. 121–131, 2014. DOI: https://doi.org/10.1016/j.icheatmasstransfer.2014.01.015.
   Web of Science ®Google Scholar
• Z. Parlak, “Optimal design of wavy microchannel and comparison of heat transfer characteristics with zigzag and straight geometries,” Heat Mass Transfer, vol. 54, no. 11, pp. 3317–3328, 2018. DOI: https://doi.org/10.1007/s00231-018-2375-6.
   Web of Science ®Google Scholar
• X. Liu, L. Chen, and W.-Q. Tao, “Effects of physicochemical parameters on the optimized topology of catalyst in micro reactors,” Front. Heat Mass Transfer, vol. 14, pp. 1–9, 2020. DOI: https://doi.org/10.5098/hmt.14.16.
   Google Scholar
• C. S. Andreasen, A. R. Gersborg, and O. Sigmund, “Topology optimization of microfluidic mixers,” Int. J. Numer. Meth. Fluids, vol. 61, no. 5, pp. 498–513, 2009. DOI: https://doi.org/10.1002/fld.
   Web of Science ®Google Scholar
• O. Sigmund and K. Maute, “Topology optimization approaches,” Struct Multidisc Optim, vol. 48, no. 6, pp. 1031–1055, 2013. DOI: https://doi.org/10.1007/s00158-013-0978-6.
   Web of Science ®Google Scholar
• M. P. Bendsoe and N. Kikuchi, “Generatinh optimal topologies in structural design using a homogenization method,” Computer Methods Appl. Mech. Engin., vol. 71, no. 2, pp. 197–224, 1988. no. DOI: https://doi.org/10.1016/0045-7825(88)90086-2.
   Web of Science ®Google Scholar
• T. Borrvall and J. Petersson, “Topology optimization of fluids in stokes flow,” Int. J. Numer. Meth. Fluids, vol. 41, no. 1, pp. 77–107, 2003. DOI: https://doi.org/10.1002/d.426.
   Web of Science ®Google Scholar
• A. Gersborg-Hansen, O. Sigmund, and R. B. Haber, “Topology optimization of channel flow problems,” Struct Multidisc Optim, vol. 30, no. 3, pp. 181–192, 2005. DOI: https://doi.org/10.1007/s00158-004-0508-7.
   Web of Science ®Google Scholar
• F. Okkels and H. Bruus, “Scaling behavior of optimally structured catalytic microfluidic reactors,” Phys. Rev. E, vol. 75, no. 1, pp. 016301, 2007. DOI: https://doi.org/10.1103/PhysRevE.75.016301.
   Google Scholar
• K. Yaji, S. Yamasaki, S. Tsushima, T. Suzuki, and K. Fujita, “Topology optimization for the design of flow fields in a redox flow battery,” Struct Multidisc Optim, vol. 57, no. 2, pp. 535–546, 2018. DOI: https://doi.org/10.1007/s00158-017-1763-8.
   Web of Science ®Google Scholar
• R. Behrou, A. Pizzolato and A. Forner-Cuenca, “Topology optimization as a powerful tool to design advanced PEMFCs flow fields,” Int. J. Heat Mass Transfer, vol. 135, pp. 72–92, 2019. DOI: https://doi.org/10.1016/j.ijheatmasstransfer.2019.01.050.
   Web of Science ®Google Scholar
• H. Kobayashi, K. Yaji, S. Yamasaki, and K. Fujita, “Freeform winglet design of fin-and-tube heat exchangers guided by topology optimization,” Appl. Thermal Eng., vol. 161, pp. 114020, 2019. DOI: https://doi.org/10.1016/j.applthermaleng.2019.114020.
   Web of Science ®Google Scholar
• C. Zhuang and Z. Xiong, “A global heat compliance measure based topology optimization for the transient heat conduction problem,” Numer. Heat Transfer, Part B: Fundamentals, vol. 65, no. 5, pp. 445–471, 2014. DOI: https://doi.org/10.1080/10407790.2013.873309.
   Web of Science ®Google Scholar
• G. Marck, M. Nemer, J.-L. Harion, S. Russeil, and D. Bougeard, “Topology optimization using the SIMP method for multiobjective conductive problems,” Numer. Heat Transfer, Part B: Fundamentals, vol. 61, no. 6, pp. 439–470, 2012. DOI: https://doi.org/10.1080/10407790.2012.687979.
   Web of Science ®Google Scholar
• C. Zhuang and Z. Xiong, “Temperature-constrained topology optimization of transient heat conduction problems,” Numer. Heat Transfer, Part B: Fundamentals, vol. 68, no. 4, pp. 366–385, 2015. DOI: https://doi.org/10.1080/10407790.2015.1033306.
   Web of Science ®Google Scholar
• O. Sigmund, “Design of multiphysics actuators using topology optimization–Part I: One-material structures,” Comput. Methods Appl. Mech. Engin., vol. 190, no. 49-50, pp. 6577–6604, 2001. DOI: https://doi.org/10.1016/S0045-7825(01)00251-1.
   Web of Science ®Google Scholar
• S. Cho and J.-Y. Choi, “Efficient topology optimization of thermo-elasticity problems using coupled field adjoint sensitivity analysis method,” Finite Elements Anal. Design, vol. 41, no. 15, pp. 1481–1495, 2005. DOI: https://doi.org/10.1016/j.finel.2005.05.003.
   Web of Science ®Google Scholar
• B. Zhang, J. Zhu, and L. Gao, “Topology optimization design of nanofluid-cooled microchannel heat sink with temperature-dependent fluid properties,” Appl. Thermal Engin., vol. 176, pp. 115354, 2020. DOI: https://doi.org/10.1016/j.applthermaleng.2020.115354.
   Web of Science ®Google Scholar
• S. Sun, P. Liebersbach, and X. Qian, “3D topology optimization of heat sinks for liquid cooling,” Appl. Thermal Engin., vol. 178, pp. 115540, 2020. DOI: https://doi.org/10.1016/j.applthermaleng.2020.115540.
   Web of Science ®Google Scholar
• R. Tawk, B. Ghannam, and M. Nemer, “Topology optimization of heat and mass transfer problems in two fluids—one solid domains,” Numer. Heat Transfer, Part B: Fundamentals, vol. 76, no. 3, pp. 130–151, 2019. DOI: https://doi.org/10.1080/10407790.2019.1644919.
   Web of Science ®Google Scholar
• T. E. Bruns, “Topology optimization of convection-dominated, steady-state heat transfer problems,” Int. J. Heat Mass Transfer, vol. 50, no. 15-16, pp. 2859–2873, 2007. DOI: https://doi.org/10.1016/j.ijheatmasstransfer.2007.01.039.
   Web of Science ®Google Scholar
• J. Alexandersen, N. Aage, C. S. Andreasen, and O. Sigmund, “Topology optimisation for natural convection problems,” Int. J. Numer. Meth. Fluids, vol. 76, no. 10, pp. 699–721, 2014. DOI: https://doi.org/10.1002/fld.3954.
   Web of Science ®Google Scholar
• J. Alexandersen, O. Sigmund, and N. Aage, “Large scale three-dimensional topology optimisation of heat sinks cooled by natural convection,” Int. J. Heat Mass Transfer, vol. 100, pp. 876–891, 2016. DOI: https://doi.org/10.1016/j.ijheatmasstransfer.2016.05.013.
   Web of Science ®Google Scholar
• T. Lei, et al., “Investment casting and experimental testing of heat sinks designed by topology optimization,” Int. J. Heat Mass Transfer, vol. 127, pp. 396–412, 2018. DOI: https://doi.org/10.1016/j.ijheatmasstransfer.2018.07.060.
   Web of Science ®Google Scholar
• T. Matsumori, T. Kondoh, A. Kawamoto, and T. Nomura, “Topology optimization for fluid-thermal interaction problems under constant input power,” Struct Multidisc Optim, vol. 47, no. 4, pp. 571–581, 2013. DOI: https://doi.org/10.1007/s00158-013-0887-8.
   Web of Science ®Google Scholar
• J. H. K. Haertel and G. F. Nellis, “A fully developed flow thermofluid model for topology optimization of 3D-printed air-cooled heat exchangers,” Appl. Thermal Engin., vol. 119, pp. 10–24, 2017. DOI: https://doi.org/10.1016/j.applthermaleng.2017.03.030.
   Web of Science ®Google Scholar
• J. H. K. Haertel, K. Engelbrecht, B. S. Lazarov, and O. Sigmund, “Topology optimization of a pseudo 3D thermofluid heat sink model,” Int. J. Heat Mass Transfer, vol. 121, pp. 1073–1088, 2018. DOI: https://doi.org/10.1016/j.ijheatmasstransfer.2018.01.078.
   Web of Science ®Google Scholar
• A. A. Koga, E. C. C. Lopes, H. F. Villa Nova, CRd Lima, and E. C. N. Silva, “Development of heat sink device by using topology optimization,” Int. J. Heat Mass Transfer, vol. 64, pp. 759–772, 2013. DOI: https://doi.org/10.1016/j.ijheatmasstransfer.2013.05.007.
   Web of Science ®Google Scholar
• V. Subramaniam, T. Dbouk, and J. L. Harion, “Topology optimization of conjugate heat transfer systems: A competition between heat transfer enhancement and pressure drop reduction,” Int. J. Heat Fluid Flow, vol. 75, pp. 165–184, 2019. DOI: https://doi.org/10.1016/j.ijheatfluidflow.2019.01.002.
   Web of Science ®Google Scholar
• S. Zeng, B. Kanargi, and P. S. Lee, “Experimental and numerical investigation of a mini channel forced air heat sink designed by topology optimization,” Int. J. Heat Mass Transfer, vol. 121, pp. 663–679, 2018. DOI: https://doi.org/10.1016/j.ijheatmasstransfer.2018.01.039.
   Web of Science ®Google Scholar
• N. Gilmore, V. Timchenko, and C. Menictas, “Manifold microchannel heat sink topology optimisation,” Int. J. Heat Mass Transfer, vol. 170, pp. 121025, 2021. DOI: https://doi.org/10.1016/j.ijheatmasstransfer.2021.121025.
   Web of Science ®Google Scholar
• R. T. Marler and J. S. Arora, “The weighted sum method for multi-objective optimization: New insights,” Struct Multidisc Optim, vol. 41, no. 6, pp. 853–862, 2010. DOI: https://doi.org/10.1007/s00158-009-0460-7.
   Web of Science ®Google Scholar
• G. Marck, M. Nemer, and J.-L. Harion, “Topology optimization of heat and mass transfer problems: Laminar flow,” Numer. Heat Transfer, Part B: Fundamentals, vol. 63, no. 6, pp. 508–539, 2013. DOI: https://doi.org/10.1080/10407790.2013.772001.
   Web of Science ®Google Scholar
• Z. Y. Guo, D. Y. Li, and B. X. Wang, “A novel concept for convective heat transfer enhancement,” Int. J. Heat Mass Transfer, vol. 41, no. 14, pp. 2221–2225, 1998. DOI: https://doi.org/10.1016/S0017-9310(97)00272-X.
   Web of Science ®Google Scholar
• Y.-L. He and W.-Q. Tao, “Convective heat transfer enhancement: Mechanisms, techniques, and performance evaluation,” Advances Heat Transfer, vol. 46, pp. 87–186, 2014.
   Google Scholar
• Y.-L. He and W.-Q. Tao, “Numerical studies on the inherent interrelationship between field synergy principle and entransy dissipation extreme principle for enhancing convective heat transfer,” Int. J. Heat Mass Transfer, vol. 74, pp. 196–205, 2014. DOI: https://doi.org/10.1016/j.ijheatmasstransfer.2014.03.013.
   Web of Science ®Google Scholar
• O. Sigmund and J. Petersson, “Numerical instabilities in topology optimization: A survey on procedures dealing with checkerboards, mesh-dependencies and local minima,” Struct. Optimization, vol. 16, no. 1, pp. 68–75, 1998. DOI: https://doi.org/10.1007/BF01214002.
   Web of Science ®Google Scholar
• S. Soprani, J. H. K. Haertel, B. S. Lazarov, O. Sigmund and K. Engelbrecht, “A design approach for integrating thermoelectric devices using topology optimization,” Appl. Energy, vol. 176, pp. 49–64, 2016. DOI: https://doi.org/10.1016/j.apenergy.2016.05.024.
   Web of Science ®Google Scholar
• H.-K. Zhang, W.-J. Wu, Z. Kang, and X.-Q. Feng, “Topology optimization method for the design of bioinspired self-similar hierarchical microstructures,” Comput. Methods Appl. Mech. Engin., vol. 372, pp. 113399, 2020. DOI: https://doi.org/10.1016/j.cma.2020.113399.
   Web of Science ®Google Scholar
• M. Schevenels, B. S. Lazarov, and O. Sigmund, “Robust topology optimization accounting for spatially varying manufacturing errors,” Comput. Methods Appl. Mech. Engin., vol. 200, no. 49-52, pp. 3613–3627, 2011. DOI: https://doi.org/10.1016/j.cma.2011.08.006.
   Web of Science ®Google Scholar
• K. Svanberg, “A class of globally convergent optimization methods based on conservative convex separable approximations,” SIAM J. Optim, vol. 12, no. 2, pp. 555–573, 2002. DOI: https://doi.org/10.1137/S1052623499362822.
   Web of Science ®Google Scholar
• T. W. Athan and P. Y. Papalambros, “A note on weighted criteria methods for compromise solutions in multi-objective optimization,” Engin. Optim., vol. 27, no. 2, pp. 155–176, 1996. DOI: https://doi.org/10.1080/03052159608941404.
   Web of Science ®Google Scholar
• A. Agazzi, R. LeGoff, and C. Truc-Vu, “On the use of topology optimization for improving heat transfer in molding process,” AIP Conference Proceedings, 2016., pp. 1–6.
   Google Scholar
• R. Boichot, L. Luo, and Y. Fan, “Tree-network structure generation for heat conduction by cellular automaton,” Energy Conv. Manage., vol. 50, no. 2, pp. 376–386, 2009. DOI: https://doi.org/10.1016/j.enconman.2008.09.003.
   Web of Science ®Google Scholar
• T.-M. Jeng and S.-C. Tzeng, “Pressure drop and heat transfer of square pin-fin arrays in in-line and staggered arrangements,” Int. J. Heat Mass Transfer, vol. 50, no. 11-12, pp. 2364–2375, 2007. DOI: https://doi.org/10.1016/j.ijheatmasstransfer.2006.10.028.
   Web of Science ®Google Scholar
• S. W. Chang, T. L. Yang, C. C. Huang, and K. F. Chiang, “Endwall heat transfer and pressure drop in rectangular channels with attached and detached circular pin-fin array,” Int. J. Heat Mass Transfer, vol. 51, no. 21-22, pp. 5247–5259, 2008. DOI: https://doi.org/10.1016/j.ijheatmasstransfer.2008.02.046.
   Web of Science ®Google Scholar