Diamond heat spreaders are very attractive for lowering the temperature of laser diodes and computer chip components. The use of diamonds as heat spreaders is very advantageous because its thermal conductivity is so large, about four times that of copper. The diamond heat spreader is mounted on a semi-infinite heat sink. The purposes of this paper are to present (a) a surface element method for the analysis of such composite systems, (b) a set of convenient algebraic equations for the maximum temperatures, (c) optimal geometry conditions and (d) some accurate numerical results. The analysis method is an adaptation of the unsteady surface element method but is different because the present problem is a steady-state one. The surface element method with one node gives a relatively simple algebraic solution, which contains all the important dimensionless groups. The one-node solution is simple, accurate, and has a form that can give deep insight into the effects of various parameters; for example, it premits derivation of the optimal geometry corresponding to the minimal temperature at the hot spot. The study shows that the optimal geometry of the thickness to radius aspect ratio of the diamond heat spreaders is about 0.4. In addition to the single-node analysis, a multinode analysis is developed and very accurate results are presented. These results show that the single-node analysis is generally within 2 percent.
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Maximum Temperatures in Diamond Heat Spreaders Using the Surface Element Method
J. V. Beck,
J. V. Beck
Department of Mechanical Engineering and Composite Materials and Structures Center, Michigan State University, East Lansing, MI 48824
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A. M. Osman,
A. M. Osman
Department of Mechanical Engineering and Composite Materials and Structures Center, Michigan State University, East Lansing, MI 48824
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G. Lu
G. Lu
Norton Company, Northboro, MA 01532-1545
Search for other works by this author on:
J. V. Beck
Department of Mechanical Engineering and Composite Materials and Structures Center, Michigan State University, East Lansing, MI 48824
A. M. Osman
Department of Mechanical Engineering and Composite Materials and Structures Center, Michigan State University, East Lansing, MI 48824
G. Lu
Norton Company, Northboro, MA 01532-1545
J. Heat Transfer. Feb 1993, 115(1): 51-57 (7 pages)
Published Online: February 1, 1993
Article history
Received:
July 1, 1991
Revised:
February 1, 1992
Online:
May 23, 2008
Citation
Beck, J. V., Osman, A. M., and Lu, G. (February 1, 1993). "Maximum Temperatures in Diamond Heat Spreaders Using the Surface Element Method." ASME. J. Heat Transfer. February 1993; 115(1): 51–57. https://doi.org/10.1115/1.2910668
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