A microchannel heat sink shape optimization has been performed using response surface approximation. Three design variables related to microchannel width, depth, and fin width are selected for optimization, and thermal resistance has been taken as objective function. Design points are chosen through a three-level fractional factorial design of sampling methods. Navier–Stokes and energy equations for steady, incompressible, and laminar flow and conjugate heat transfer are solved at these design points using a finite volume solver. Solutions are carefully validated with the analytical and experimental results and the values of objective function are calculated at the specified design points. Using the numerically evaluated objective-function values, a polynomial response surface model is constructed and the optimum point is searched by sequential quadratic programming. The process of shape optimization greatly improves the thermal performance of the microchannel heat sink by decreasing thermal resistance of about 12% of the reference shape. Sensitivity of objective function to design variables has been studied to utilize the substrate material efficiently.
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e-mail: afzal19@inha.edu
e-mail: kykim@inha.ac.kr
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June 2009
Research Papers
Thermal Optimization of a Microchannel Heat Sink With Trapezoidal Cross Section
Afzal Husain,
Afzal Husain
Ph.D. Student
Department of Mechanical Engineering, Graduate School,
e-mail: afzal19@inha.edu
Inha University
, 253 Yonghyun-Dong, Nam-Gu, Incheon, 402-751, Republic of Korea
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Kwang-Yong Kim
Kwang-Yong Kim
Department of Mechanical Engineering,
e-mail: kykim@inha.ac.kr
Inha University
, 253 Yonghyun-Dong, Nam-Gu, Incheon, 402-751, Republic of Korea
Search for other works by this author on:
Afzal Husain
Ph.D. Student
Department of Mechanical Engineering, Graduate School,
Inha University
, 253 Yonghyun-Dong, Nam-Gu, Incheon, 402-751, Republic of Koreae-mail: afzal19@inha.edu
Kwang-Yong Kim
Department of Mechanical Engineering,
Inha University
, 253 Yonghyun-Dong, Nam-Gu, Incheon, 402-751, Republic of Koreae-mail: kykim@inha.ac.kr
J. Electron. Packag. Jun 2009, 131(2): 021005 (6 pages)
Published Online: April 1, 2009
Article history
Received:
September 12, 2007
Revised:
January 7, 2009
Published:
April 1, 2009
Citation
Husain, A., and Kim, K. (April 1, 2009). "Thermal Optimization of a Microchannel Heat Sink With Trapezoidal Cross Section." ASME. J. Electron. Packag. June 2009; 131(2): 021005. https://doi.org/10.1115/1.3103931
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