Analytical modeling of fluid flow and heat transfer in microchannel/ nanochannel heat sinks

Journal of Thermophysics and Heat Transfer

Volumn 22, Issue 3, 2008, Pages 352-359

  Khan, W A ^a,c   Yovanovich, M M ^b,d  

^a NATIONAL UNIVERSITY OF SCIENCES AND TECHNOLOGY   (Pakistan)

^b UNIVERSITY OF WATERLOO   (Canada)

^c PN Engineering College

^d Department of Mechanical Engineerng ^*

Author keywords

[No Author keywords available]

Indexed keywords

ASPECT RATIO; BOUNDARY CONDITIONS; FRICTION; HEAT SINKS; MICROCHANNELS; PRANDTL NUMBER; REYNOLDS EQUATION; REYNOLDS NUMBER;

CHANNEL ASPECT RATIOS; CLOSED FORM SOLUTIONS; FLUID FLOW AND HEAT TRANSFERS; HYDRAULIC DIAMETER; LAMINAR FORCED CONVECTIONS; THERMAL ACCOMMODATION COEFFICIENT; THERMAL BOUNDARY CONDITIONS; TWO-DIMENSIONAL RECTANGULAR;

FLOW OF FLUIDS;

EID: 50849132250     PISSN: 08878722     EISSN: 15336808     Source Type: Journal    
DOI: 10.2514/1.35621     Document Type: Article

References (33)

1. Tuckerman, D. B., and Pease, R. F. W., "High-Performance Heat Sinking for VLSI," IEEE Electron Device Letters, Vol, 2, No. 5, May 1981, pp. 126-129. doi:10.1109/EDL.1981.25367
2. Harley, J. C., Huang, Y., Bau, H.H., and Zewel, J. N., "Gas Flow in Micro-Channels," Journal of Fluid Mechanics, Vol, 284, 1995, pp. 257-274. doi:10.1017/S0022112095000358
3. Morini, G. L., and Spiga, M., "Slip Flow in Rectangular Microtubes," Microscale Thermophysical Engineering, Vol. 2, No. 4, 1998, pp. 273-282. doi:10.1080/108939598199919
4. Morini, G. L., Spiga, M., and Tartasini, P., "The Rarefaction Effect on the Friction Factor of Gas Flow in Micro/Nano-Channels," Superlattices and Microstructures, Vol. 35, Nos. 3-6, 2004, pp. 587-599. doi:10.1016/j.spmi.2003.09.013
5. Morini, G. L., Lorenzini, M., and Spiga, M., "A Criterion for Experimental Validation of Slip-Flow Models for Incompressible Rarefied Gases Through Micro/Nano-Channels," Microfluidics and Nanofluidics, Vol. 1, No. 2, 2005, pp. 190-196. doi:10.1007/s10404-004-0028-1
6. Ebert, W. A., and Sparrow, E. M., "Slip Flow in Rectangular and Annular Ducts," Journal of Basic Engineering, Vol. 87, 1965, pp. 1018-1024.
7. Inman, R. M., "Heat Transfer for Laminar Slip Flow of a Rarefied Gas in a Parallel Plate Channel or a Round Tube with Uniform Wall Heating," NASA TN D-2393, Aug. 1964.
8. Inman, R. M., "Heat Transfer for Laminar Slip Flow of a Rarefied Gas in a Parallel Plate Channel or a Circular Tube with Uniform Wall Temperature," NASA TN D-2213, Nov. 1964.
9. Inman, R. M., "Heat Transfer for Laminar Slip Flow of a Rarefied Gas Between Parallel Plates with Unsymmetrical Wall Heat Flux," NASA TN D-2421, Aug. 1964
10. Colin, S., Lalonde, P., and Caen, R., "Validation of a Second-Order Slip Flow Model in Rectangular Microchannels," Heat Transfer Engineering, Vol. 25, No. 3, 2004, pp. 23-30. doi:10.1080/01457630490280047
11. Yu, S., and Ameel, T. A., "Slip Flow Heat Transfer in Rectangular Microchannels," International Journal of Heat and Mass Transfer, Vol. 44, No. 22, 2001, pp. 4225-4234, doi:10.1016/S0017-9310(01)00075-8
12. Yu, S., and Ameel, T. A., "Slip Flow Convection in Isoflux Rectangular Microchannels," Journal of Heat Transfer, Vol, 124, No, 2, April 2002, pp. 346-355, doi:10.1115/1.1447932
13. Zhao, C. Y., and Lu, T. J., "Analysis of Microchannel Heat Sinks for Electronics Cooling," International Journal of Heat and Mass Transfer, Vol. 45, No, 24, Nov, 2002, pp. 4857-4869, doi:10.1016/S0017- 9310(02)00180-1
14. Quarmby, A., "A Finite-Difference Analysis of Developing Slip Flow," Applied Scientific Research, Vol. 19, No, 1, Jan, 1968, pp. 18-33. doi:10.1007/BF00383909
15. Gampert, B., "Inlet Flow With Slip," Rarefied Gas Dynamics, Vol. 10, 1976, pp. 225-235.
16. Barber, R. W., and Emerson, D. R., "A Numerical Investigation of Low Reynolds Number Gaseous Slip Flow at the Entrance of Circular and Parallel Plate Micro-Channels," ECCOMAS Computational Fluid Dynamics Conference 2001, Sept. 2001.
17. Barber, R. W., and Emerson, D. R., "The Influence of Knudsen Number on the Hydrodynamic Development Length Within Parallel Plate Micro-Channels," Advances in Fluid Mechanics 1V, edited by M. Rahman, R. Verhoeven, and C. A. Brebbia, WIT Press, Southampton, England, U.K., 2002, pp, 207-216.
18. Andrei, G. F., and Raymond, V., "Three-Dimensional Conjugate Heat Transfer in the Micro-Channel Heat Sink for Electronic Packaging," International Journal of Heat and Mass Transfer, Vol. 43, No. 3, 2000, pp. 399-415, doi:10.1016/S0017-9310(99)001151-9
19. Arkilic, E. B., Breuer, K. S., and Schmidt, M. A., "Mass Flow and Tangential Momentum Accommodation in Silicon Micromachined Channels," Journal of Fluid Mechanics, Vol. 437, 2001, pp. 29-43. doi:10.1109/84.585795
20. Arkilic, E. B., Schmidt, M. A., and Breuer, K. S., "Gaseous Slip Flow in Long Microchannels," Journal of Microelectromechanical Systems, Vol. 6, No. 2, 1997, pp. 167-178. doi:10.1109/84.585795
21. Beskok, A., and Karniadakis, G. E., "A Model for Flows in Channels, Pipes, and Ducts at Micro Scales," Microscale The rmophysical Engineering, Vol, 3, No, 1., Feb. 1999, pp. 43-77. doi:10.1080/ 108939599199864
22. Bower, C., Ortega, A., Skandakumaran, P., Vaidyanathan, R., Green, C., and Phillips, T., "Heat Transfer in Water-Cooled Silicon Carbide Milli-Channel Heat Sinks for High Power Electronic Applications," 2003 ASME International Mechanical Engineering Congress & Exposition, American Society of Mechanical Engineers, New York, Nov. 2003, pp. 327-335.
23. Harms, T. M., Kazmierczak, M. J., and Garner, F. M., "Developing Convective Heat Transfer in Deep Rectangular Microchannels," International Journal of Heat and Fluid Flow, Vol. 20, No. 2, April 1999, pp. 149-157. doi:10.1016/S0142-727X(98)10055-3
24. Hetsroni, G., Mosyak, A., Pogrebnyak, E., and Yarin, L. P., "Fluid Flow in Micro-Channels," International Journal of Heat and Mass Transfer, Vol. 48, No. 10, May 2005, pp. 1982-1998. doi:10.1016/j. ijheatmasstransfer.2004.12.019
25. Hetsroni, G., Mosyak, A., Pogrebnyak, E., and Yarin, L. P., "Heat Transfer in Micro-Channels: Comparison of Experiments with Theory and Numerical Results," International Journal of Heat and Mass Transfer, Vol. 48, Nos, 25-26, Dec. 2005, pp. 5580-5601, doi:10.1016/j.ijheatmasstransfer.2005.05. 041
26. Hsieh, S. S., Tsai, H. H., Lin, C. Y., Huang, C. F., and Chien, C. M., "Gas Flow in a Long Microchannel," International Journal of Heat and Mass Transfer, Vol. 47, Nos, 17-18, Aug. 2004, pp. 3877-3887. doi:10.1016/j.ijheatmasstransfer.200403.027
27. Hsieh, S. S., Lin, C. Y., Huang, C. F., and Tsai, H. H., "Liquid Flow in a Micro-Channel," Journal of Micromechanics and Microengineering, Vol. 14, No. 4, April 2004, pp. 436-445. doi:10.1088/0960-1317/14/4/002
28. Liu, D., and Garimella, S. V., "Analysis and Optimization of the Thermal Performance of Microchannel Heat Sinks", International Journal for Numerical Methods in Heat & Fluid Flow, Vol. 15, No, 1, 2005, pp. 7-26.
29. Shah, R. K., and London, A. L., "Laminar Flow Forced Convection in Ducts," Advances in Heat Transfer, Vol. 14, Supplement 1, 1978, p. 196.
30. Kleiner, M. B., Kuhn, S. A., and Haberger, K., "High Performance Forced Air Cooling Scheme Employing Microchannel Heat Exchangers," IEEE Transactions on Components, Packaging, and Manufacturing Technology, Part A, Vol. 18, No. 4, 1995, pp. 795-804. doi:10.1109/95.477466 doi:10.1109/95.477466
31. Kays, W. M., and London, A. L., Compact Heat Exchangers, McGraw Hill, New York, 1964.
32. Khan, W. A., Culham, J. R. ,and Yovanovich, M. M., "Fluid Flow Around and Heat Transfer from Elliptical Cylinders: Analytical Approach," Journal of Thermophysics and Heat Transfer, Vol. 19, No. 2, 2005, pp. 178-185.
33. Qin, J. S. J., and Li, W. J., "Fabrication of Complex Micro Channel Systems Inside Optically-Transparent 3D Substrates by Laser Processing," 11th International Conference on Solid-State Sensors and Actuators, Springer-Verlag, Berlin, June 2001, pp. 1624-1627.