{"title":"Numerical Optimization of Trapezoidal Microchannel Heat Sinks","authors":"Yue-Tzu Yang, Shu-Ching Liao","volume":92,"journal":"International Journal of Mechanical and Mechatronics Engineering","pagesStart":1404,"pagesEnd":1408,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/9999022","abstract":"
This study presents the numerical simulation of three-dimensional incompressible steady and laminar fluid flow and conjugate heat transfer of a trapezoidal microchannel heat sink using water as a cooling fluid in a silicon substrate. Navier-Stokes equations with conjugate energy equation are discretized by finite-volume method. We perform numerical computations for a range of 50 \u2266 Re \u2266 600, 0.05W \u2266 P \u2266 0.8W, 20W\/cm2 <\/sup>\u2266q"<\/em><\/strong>\u2266 40W\/cm2<\/sup>. The present study demonstrates the numerical optimization of a trapezoidal microchannel heat sink design using the response surface methodology (RSM) and the genetic algorithm method (GA). The results show that the average Nusselt number increases with an increase in the Reynolds number or pumping power, and the thermal resistance decreases as the pumping power increases. The thermal resistance of a trapezoidal microchannel is minimized for a constant heat flux and constant pumping power.<\/p>\r\n","references":"[1]\tH.Y. Wu, P. Cheng, \"An experimental study of convective heat transfer in silicon microchannels with different surface conditions,\u201d International Journal of Heat and Mass Transfer, vol. 46, pp. 2547-2556, 2003.\r\n[2]\tH.Y. Wu, P. Cheng, \"Friction factors in smooth trapezoidal silicon microchannels with different aspect ratios,\u201d International Journal of Heat and Mass Transfer, vol.46, pp.2519-2525, 2003.\r\n[3]\tJ. Koo, C. Kleinstreuer, \"Viscous dissipation effects in microtubes and microchannels,\u201d International Journal of Heat and Mass Transfer, vol. 47, pp. 3159-3169, 2004.\r\n[4]\tH. Herwig, S. P. Mahulikar, \"Variable property effects in single-phase incompressible flows through microchannels,\u201d International Journal of Thermal Sciences, vol.45, pp. 977-081, 2006.\r\n[5]\tA. Li, X. Huai, Y. Tao, H. Chen, \"Effects of thermal property variations on the liquid flow and heat transfer in microchannel heat sinks,\u201d Applied Thermal Engineering, vol.27, pp. 2803-2814, 2007.\r\n[6]\tD. Liu, S.V. Garimella, \"Analysis and optimization of the thermal performance of microchannel heat sinks,\u201d International Journal for Numerical Methods in Heat and Fluid Flow, vol. 15, pp.7-26, 2005.\r\n[7]\tA. Husain, K.Y. Kim, \"Shape optimization of micro-channel heat sink for micro-electronic cooling,\u201d IEEE Transactions on Components and Packaging Technologies, vol. 31, pp. 322-330, 2008.\r\n[8]\tA. Husain, K.Y. Kim, \"Thermal optimization of a micro-channel heat sink with trapezoidal cross-section,\u201d Journal of Electronic Packaging, vol. 131, 021005, 2009.\r\n[9]\tA. Husain, K.Y. Kim, \"Optimization of a microchannel heat sink with temperature dependent fluid properties,\u201d Applied Thermal Engineering, vol. 28, pp. 1101-1107, 2008.\r\n[10]\tA. Husain, K.Y. Kim, \"Multiobjective optimization of a microchannel heat sink using evolutionary algorithm,\u201d Journal of Heat Transfer, vol. 130, 114505, 2008.\r\n[11]\tA. Husain, K.Y. Kim, \"Enhanced multi-objective optimization of a microchannel heat sink through evolutionary algorithm coupled with multiple surrogate models,\u201d Applied Thermal Engineering, vol. 30, pp.1683-1691, 2010.\r\n[12]\tS.V. Patankar: Numerical heat transfer and fluid flow, McGraw-Hill, 1980.\r\n[13]\tS. Sanaye, H. Hajabdollahi, \"Thermal-economic multi-objective optimization of plate fin heat exchanger using genetic algorithm,\u201d Applied Energy, vol. 87, pp.1893-1902, 2010.\r\n[14]\tR.H. Myers, D.C. Montgomery, Response surface methodology: process and product optimization using designed experiments. John Wiley \uff06Sons Inc., New York, 1995.\r\n","publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 92, 2014"}