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TECHNICAL PAPERS

Simplified Analytical Models for Forced Convection Heat Transfer From Cuboids of Arbitrary Shape

[+] Author and Article Information
J. R. Culham, M. M. Yovanovich, P. Teertstra

Microelectronics Heat Transfer Laboratory, Department of Mechanical Engineering, University of Waterloo, Waterloo, ON, Canada

C.-S. Wang

Advanced Thermal Solutions, Newton, MA

G. Refai-Ahmed

Solinet Systems, Ottawa, ON, Canada

Ra-Min Tain

Nortel Metworks, Kanata, ON, Canada

J. Electron. Packag 123(3), 182-188 (Oct 13, 2000) (7 pages) doi:10.1115/1.1347993 History: Received October 13, 2000
Copyright © 2001 by ASME
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References

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Refai-Ahmed,  G., and Yovanovich,  M. M., 1997, “Experimental Study of Forced Convection From Isothermal Circular and Square Cylinders and Toroids,” ASME J. Heat Transfer, 119, pp. 70–79.
Wedekind,  G. L., and Kobus,  C. J., 1996, “Predicting the Average Heat Transfer Coefficient for an Isothermal Vertical Circular Disk With Assisting and Opposing Combined Forced and Natural Convection,” Int. J. Heat Mass Transf., 39, No. 13, pp. 2843–2845.
Yovanovich, M. M., and Vanoverbeke, C. A., 1988, “Combined Natural and Forced Convection Heat Transfer from Isothermal Spheres,” Paper No. 88-2618, AIAA Thermophysics, Plasmadynamics and Lasers Conference, San Antonio, TX, June 27–29.
Igarashi,  T., 1985, “Heat Transfer from a Square Prism to an Airstream,” Int. J. Heat Mass Transf., 28, No. 1, pp. 175–181.
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Yovanovich, M. M., 1988, “General Expression for Forced Convection Heat and Mass Transfer From Isopotential Spheroids,” Paper No. 88-0743, AIAA 26th Aerospace Sciences Meeting, Reno, NV, Jan. 11–14, pp. 1–7.
Wang,  C.-S., Yovanovich,  M. M., and Culham,  J. R., 1999, “Modeling Natural Convection From Horizontal Isothermal Annular Heat Sinks,” ASME J. Electron. Packag., 121, No. 1, pp. 44–49.
Lee,  S., Yovanovich,  M. M., and Jafarpur,  K., 1990, “Effects of Geometry and Orientation on Laminar Natural Convection from Isothermal Bodies,” AIAA J. Thermophys., 5, No. 2, pp. 208–216.
Churchill,  S. W., and Usagi,  R., 1972, “A General Expression for the Correlation of Rates of Transfer and Other Phenomena,” AIChE J., 19, pp. 1121–1128.
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Yovanovich, M. M., Lee, S., and Gayowsky, T. J., 1992, “Approximate Analytic Solution for Laminar Forced Convection From an Isothermal Plate,” Paper No. 92-0248, AIAA 30th Aerospace Sciences Meeting and Exhibit, Reno, NV, Jan. 6–9.
Schlichting, H., 1979, Boundary-Layer Theory, McGraw-Hill, Toronto.
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FLOTHERM, 1999, Flomerics Inc., 2 Mount Royal Ave., Marlborough, MA
Yovanovich,  M. M., Teertstra,  P., and Culham,  J. R., 1995, “Modeling Transient Conduction from Isothermal Convex Bodies of Arbitrary Shape,” AIAA Journal of Thermophysics and Heat Transfer, 9, No. 3, pp. 385–390.

Figures

Grahic Jump Location
Procedure for calculating the conduction shape factor of a cuboid
Grahic Jump Location
Modeling procedures for boundary layer flow
Grahic Jump Location
Shortest and longest path
Grahic Jump Location
Schematic of CFD solution domain
Grahic Jump Location
Heat transfer results using the spheroid model for 0≤AR≤1 and ReA=1000

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