Transactions of the Korean Society of Mechanical Engineers B (대한기계학회논문집B)

The Korean Society of Mechanical Engineers (대한기계학회)
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Shape Optimization of a Micro-Channel Using Kriging Model

크리깅 모델을 이용한 미세유로의 형상최적설계

  • Published : 2007.09.01
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Abstract

Microchannel heat sink shape optimization is performed using Kriging method. Design variables relating to microchannel width, depth and fin width are selected, and thermal resistance has been taken as objective function. Design points are selected through a three-level fractional factorial design of sampling method. Navier-Stokes and energy equations for laminar flow and conjugate heat transfer are solved at these design points using a finite volume solver. Solutions are carefully validated with experimental results. Using the numerically evaluated objective function, a surrogate model (Kriging) is constructed and optimum point is searched by sequential quadratic programming. The process of shape optimization greatly improves the thermal performance of microchannel heat sink under constant pumping power.

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References

  1. Tuckerman, D. B., Pease, R. F. W., 1981, 'High-Performance Heat Sinking for VLSI,' IEEE Electron Device Lett. EDL-2, pp. 126-129
  2. Tuckerman, D. B., 1984, 'Heat Transfer Microstructures for Integrated Circuits,' Ph. D. Thesis, Stanford University
  3. Samalam, V. K., 1989, 'Convective Heat Transfer In Microchannels,' J. Electron Mater. 18, pp. 611-617 https://doi.org/10.1007/BF02657475
  4. Kawano, K., Minakami, K., Iwasaki, H. and Ishizuka, M. 1998, 'Application of Heat Transfer in Equipment Systems, and Education,' in: Development of Microchannels Heat Exchanging, R.A. Nelson Jr., Swanson, L.W., M. Bianchi, V.A. and Camci, C. Eds., New York, ASME, HTD-361-3/PID-3, pp. 173-180
  5. Rahman, M. And Gui, M. F., 1993, 'Experimental Measurements Of Fluid Flow and Heat Transfer in Microchannel Cooling Passages in A Chip Substrate,' Adv. Electron. Packag., ASME EEP-4(2), pp.685-692
  6. Rahman, M. M. and Gui, F., 1993, 'Design Fabrication and Testing Of Microchannel Heat Sink for Aircraft Avionics Cooling,' in: Proceedings of The 28th Intersociety Energy Conversion Eng. Conf. 1, pp. 1-6
  7. Qu Weilin, Mala, Gh. M., and Dongqing, Li., 2000, 'Pressure-Driven Water Flows in Trapezoidal Silicon Microchannels,' Int. J. Heat Mass Transf. Vol. 43 No. 3, pp. 353-364 https://doi.org/10.1016/S0017-9310(99)00148-9
  8. Qu Weilin, Mala, Gh. M. and Dongqing, Li, 2000, 'Heat Transfer for Water Flow in Trapezoidal Silicon Microchannels,' Int. J. Heat Mass Transf. Vol. 43 No.21, pp. 3925-3936 https://doi.org/10.1016/S0017-9310(00)00045-4
  9. Wu, H. Y. and Cheng, P., 2003, 'Friction Factors in Smooth Trapezoidal Silicon Micro Channels with Different Aspect Ratios,' Int. J. Heat Mass Transf.,Vol. 46 No.14, pp. 2519-2525 https://doi.org/10.1016/S0017-9310(03)00106-6
  10. Wu, H. Y. and Cheng, P., 2003, 'an Experimental Study of Convective Heat Transfer in Silicon Micro Channels with Different Surface Conditions,' Int. J. Heat Mass Transf.,Vol. 46 No.14, pp. 2547-2556 https://doi.org/10.1016/S0017-9310(03)00035-8
  11. Liu, D. and Gerimella, S. V., 2005, 'Analysis and Optimization of The Thermal Performance of Microchannel Heat Sinks,' International Journal for Numerical Methods In Heat and Fluid Flow., Vol.15 No.1, pp. 7-26 https://doi.org/10.1108/09615530510571921
  12. Gerimella, S. V. and Sobhan, C. B., 2003, 'Transport in Micro Channels-A Critical Review,' Annu. Rev. Heat Tansf., Vol 13, pp. 1-50 https://doi.org/10.1615/AnnualRevHeatTransfer.v13.30
  13. Knight, R. W., Hall, D. J., Goodling, J. S. and Jaeger, R. C., 1992, 'Heat Sink Optimization with Application to Micro Channels,' IEEE Trans. Compon., Hybrids, Manufact. Technol., Vol.15 No.5, pp. 832-842 https://doi.org/10.1109/33.180049
  14. Wei, X. J. and Joshi, Y., 2003, 'Optimization Study of Stacked Micro-Channel Heat Sinks for Micro-Electronic Cooling,' IEEE Trans. Compon. Packag. Technol., Vol.26 No.1, pp. 55-61 https://doi.org/10.1109/TCAPT.2003.811473
  15. Fisher, T. S. and Torrance, K. E., 2001, 'Optimal Shapes of Fully Embedded Channels for Conjugate Cooling,' IEEE Trans. Adv. Packag., Vol.24 No.4, pp 555-562 https://doi.org/10.1109/6040.982844
  16. Weisberg, A., Bau, H. H. and Zemel, J. N., 1992, 'Analysis of Micro Channels for Integrated Cooling,' Int. J. Heat Mass Transf., Vol. 35 No.10, pp. 2465-2474 https://doi.org/10.1016/0017-9310(92)90089-B
  17. Qu, W. and Mudawar, I., 2002, 'Analysis of Three Dimensional Heat Transfer in Micro-Channel Heat Sinks,' Int. J. Heat Mass Transf., Vol.45 No 19, pp. 3973-3985 https://doi.org/10.1016/S0017-9310(02)00101-1
  18. Toh, K. C., Chen, X. Y. and Chai, J. C., 2006, 'Numerical Computation of Fluid Flow and Heat Transfer in Microchannels,' Int. J. Heat Mass Transf., 45 (2002) 5133-5141 https://doi.org/10.1016/S0017-9310(02)00223-5
  19. Li, J. and Peterson, G. P., 'Geometric Optimization of a Micro Heat Sink With Liquid Flow,' IEEE Trans. Compon. Packag. Technol., Vol.29 No.1, pp145-154 https://doi.org/10.1109/TCAPT.2006
  20. Vanderplaats, G. N., 1984, 'Numerical Optimization Techniques for Engineering Design with Applications,' New York, Mcgraw-Hill
  21. Queipo, N. V., Haftka, R. T., Shyy, W., Goel, T., Vaidyanathan, R. and Tucker, P. K., 2005, 'Surrogate-Based Analysis and Optimization,' Progress in Aerospace Sciences.,Vol. 41 pp1-28 https://doi.org/10.1016/j.paerosci.2005.02.001
  22. Madou, M. J., MEMS Fabrication, in The MEMS Handbook, M. Gad-El-Hak, Ed. Boca Raton, FL: CRC, 16-1, 2002
  23. Laermer, F., Urban, A. and Challenges., 2003, 'Developments and Applications of Silicon Deep Reactive Ion Etching,' Microelectron, Eng. 67-68 pp 349-355 https://doi.org/10.1016/S0167-9317(03)00089-3
  24. CFX-5.7 Solver Theory, ANSYS 2004
  25. Patankar, S. V., 1980, 'Numerical Heat Transfer and Fluid Flow,' Mcgraw-Hill, New York, pp. 124-134
  26. Shah, R. K. and London, A. L., 1978, 'Laminar Flow Forced Convection in Ducts: A Source Book for Compact Heat Exchanger Analytical Data,' Supl. I, Academic Press, New York
  27. Sadk Kakac, Ramesh K. and Shah, Win Aung., 1987, 'Handbook of Single-Phase Convective Heat Transfer,' a Wiley-Interscience Publication, New York
  28. Lophaven, S. N., Nielsen, H. B. and Sondergaard, J., 2002, 'a MATLAB Kriging Toolbox,' Technical Report IMM-TR2002-12
  29. Husain, A. and Kim, K. Y., 'Thermal Optimization of a Microchannel Heat Sink With Trapezoidal Cross-Section,' Submitted to International Journal of Heat and Mass Transfer https://doi.org/10.1115/1.3103931
  30. Kawano K., Sekimura, M., Minakami, K., Iwasaki H. and Ishizuka, M., 2001, 'Development of Micro Channel Heat Exchanging,' JSME Int. Journal Series B 44(4)., pp. 592-598 https://doi.org/10.1299/jsmeb.44.592