A means to properly size rectangular heat spreaders between a dielectric layer connected to thermal ground and a power device is developed by modeling the problem as a thermal resistance network. Generalized formulas and nondimensional charts to optimize heat spreader thickness and footprint are presented. The power device and heat spreader are assumed to be (concentric) rectangular solids of arbitrary length, width and thickness. The nondimensional results are validated by finite element analysis (FEA) and examples demonstrate the utility of the methodology to thermal design engineers.
Issue Section:
Technical Papers
1.
Yovanovich, M. M., 1998, “Conduction and Thermal Contact Resistances (Conductances),” Handbook of Heat Transfer, 2nd Edition, W. M. Rohsenow, J. P. Hartnett and Y. L. Cho, eds., McGraw-Hill, New York, Chapter 3.
2.
Kennedy
, D. P.
, 1960
, “Spreading Resistance in Cylindrical Semiconductor Devices
,” J. Appl. Phys.
, 31
, No. 8
, pp. 1490
–1497
.3.
Lee, S., Song, S., Au, V., Moran, K. P., 1995, “Constriction/Spreading Resistance Model for Electronics Packaging,” Proc. ASME/JSME Thermal Engineering Joint Conference, Vol. 4, L. S. Fletcher, and T. Aihara, eds., pp. 199–206.
4.
Song, S., Lee, S., and Au, V., 1994, “Closed-Form Equation for Thermal Constriction/Spreading Resistances with Variable Resistance Boundary Condition,” Proc. 1994 International Electronics Packaging Conference (IEPS), IEPS, Inc., pp. 111–121.
5.
Yovanovich
, M. M.
, Muzchka
, Y. S.
, and Culham
, J. R.
, 1999
, “Spreading Resistance of Isoflux Rectangles and Strips on Compound Flux Channels
,” J. Thermophys. Heat Transfer
, 13
, No. 4
, pp. 495
–500
.6.
Hodes, M., 2000, “Formulae to Size Axisymmetric Heat Spreaders Above Dielectric Layers,” Proc. Int. Mechanical Engineering Congress and Exposition (IMECE), MED-Vol. 11, R. J. Furness, ed., ASME, pp. 443–451.
7.
Graebner
, J.
, and Low
, Y. L.
, 1998
, “Calculation of the Spreading Resistance in a Multilayer Structure
,” Technical Report No. 11175-981203-03TM, Bell Laboratories/Lucent Technologies, Murray Hill, NJ.8.
Mills, A. F., 1992, Heat Transfer, Irwin, Homewood, IL.
9.
Beyer, W. H., 1991, CRC Standard Mathematical Tables and Formulae, CRC Press.
Copyright © 2001
by ASME
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