Closed-Form Expression for Temperature in a Semi-Infinite Solid Due to a Fast Moving Surface Heat Source

[+] Author and Article Information
J. A. Tichy

Department of Mechanical Engineering, Aeronautical Engineering & Mechanics, Rensselaer Polytechnic Institute, Troy, NY 12180-3590

J. Tribol 113(4), 828-831 (Oct 01, 1991) (4 pages) doi:10.1115/1.2920699 History: Received September 05, 1990; Revised February 01, 1991; Online June 05, 2008


In the thermal analysis of an asperity on a sliding surface in frictional contact with an opposing surface, conditions are often idealized as a moving heat source. The solution to this problem at arbitrary Péclét number in terms of a singular integral is well known. In this study, closed-form solutions are found in terms of the exponential integral for high Péclét number. Fortunately, the closed-form solutions are accurate at Péclét number of order one. While several restrictions are necessary, the closed-form expressions offer considerable numerical savings relative to evaluations of the convolution integral.

Copyright © 1991 by The American Society of Mechanical Engineers
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