Effects of Multiple Sources in the Contact Conductance Theory

[+] Author and Article Information
J. V. Beck

Department of Mechanical Engineering and Division of Engineering Research, Michigan State University, East Lansing, Mich. 48823; Sandia Labs, Albuquerque, N. M.

J. Heat Transfer 101(1), 132-136 (Feb 01, 1979) (5 pages) doi:10.1115/1.3450903 History: Received May 08, 1978; Online August 11, 2010


An analysis of regularly spaced disk sources on the surface of a semi-infinite body is given and related to steady-state contact conductance theory. It is shown that simple superposition utilizing the steady-state temperature distribution for a single typical disk source is not valid since a steady state does not exist for the temperature resulting for an infinite number of regularly spaced sources on the surface of a semi-infinite solid. A novel analysis is presented that treats the transient surface temperature in such a manner that a steady-state conductance is derived. The conductance results are compared with those obtained by Yovanovich who use a complementary analysis. The method of analysis can be applied to other disk spacings and to random distribution of contacts. Also considered is the case of contact radius being a uniformly-distributed random variable which yielded the results of increased contact resistance compared to that using the average contact radius.

Copyright © 1979 by ASME
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