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REVIEW ARTICLES

Review of Thermal Joint Resistance Models for Nonconforming Rough Surfaces

[+] Author and Article Information
M. Bahrami

Microelectronics Heat Transfer Laboratory, Department of Mechanical Engineering,  University of Waterloo, Waterloo, ON N2L 3G1, Canada

J. R. Culham

Microelectronics Heat Transfer Laboratory, Department of Mechanical Engineering,  University of Waterloo, Waterloo, ON N2L 3G1, Canada

M. M. Yananovich

Microelectronics Heat Transfer Laboratory, Department of Mechanical Engineering,  University of Waterloo, Waterloo, ON N2L 3G1, Canada

G. E. Schneider

Microelectronics Heat Transfer Laboratory, Department of Mechanical Engineering,  University of Waterloo, Waterloo, ON N2L 3G1, Canada

Appl. Mech. Rev 59(1), 1-12 (Jan 01, 2006) (12 pages) doi:10.1115/1.2110231 History:

The thermal contact resistance (TCR) in a vacuum is studied. The TCR problem is divided into three different parts: geometrical, mechanical, and thermal. Each problem includes a macro- and microscale subproblem; existing theories and models for each part are reviewed. Empirical correlations for microhardness, and the equivalent (sum) rough surface approximation, are discussed. Suggested correlations for estimating the mean absolute surface slope are summarized and compared with experimental data. The most common assumptions of existing thermal analyses are summarized. As basic elements of thermal analyses, spreading resistance of a circular heat source on a half-space and flux tube are reviewed; also existing flux tube correlations are compared. More than 400 TCR data points collected by different researchers during the last 40years are grouped into two limiting cases: conforming rough and elastoconstriction. Existing TCR models are reviewed and compared with the experimental data at these two limits. It is shown that the existing theoretical models do not cover both of the above-mentioned limiting cases. This review article cites 58 references.

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Copyright © 2006 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

Macro- and microthermal constriction∕spreading resistances

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Figure 2

Thermal contact resistance modeling flow diagram

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Figure 3

Comparison between correlations for m and experimental data

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Figure 4

Equivalent contact of conforming rough surfaces

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Figure 5

Flow diagram of geometrical modeling

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Figure 6

Measured hardness and microhardness (26)

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Figure 7

Circular heat source on half-space

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Figure 8

Two flux tubes in series

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Figure 9

Comparison between thermal spreading resistance correlations (Table 3) and isothermal contact area

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Figure 10

Clausing and Chao (3) geometrical model

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Figure 11

Comparison with data at elasto-constriction limit

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Figure 12

Comparison with data at conforming rough limit

Tables

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