An equation in the form of a Fourier series was derived in an earlier study to give displacements of the originally straight edge of a plate as the result of a small heat input patch moving at speed c along that edge. That unwieldly formulation is reduced to a simple integral equation, which is shown to be manageable in an example calculation. The integral equation is shown to be closely related to that of Ling and Mow, although it is much simpler to use. Comparison of the results of the simplification to results of the original series formulation suggest that the equation proposed for “high Peclet number” may be a valid approximation for Peclet number as low as 2.5 = Pel = cl/πk, and l is the width of the patch of heat input, k is the thermal diffusivity of the material.
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January 1978
This article was originally published in
Journal of Lubrication Technology
Research Papers
The Thermoelastic Patch Contact Problem for Large Peclet Number
S. R. Kilaparti,
S. R. Kilaparti
Illinois Institute of Technology, Chicago, Ill.
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R. A. Burton
R. A. Burton
The Technological Institute, Northwestern University, Evanston, Ill.
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S. R. Kilaparti
Illinois Institute of Technology, Chicago, Ill.
R. A. Burton
The Technological Institute, Northwestern University, Evanston, Ill.
J. of Lubrication Tech. Jan 1978, 100(1): 65-69 (5 pages)
Published Online: January 1, 1978
Article history
Revised:
March 18, 1977
Received:
June 21, 1977
Online:
October 20, 2010
Citation
Kilaparti, S. R., and Burton, R. A. (January 1, 1978). "The Thermoelastic Patch Contact Problem for Large Peclet Number." ASME. J. of Lubrication Tech. January 1978; 100(1): 65–69. https://doi.org/10.1115/1.3453114
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