Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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Heat conduction in a thin circular pipe due to a circumferentially moving heat source


Author: S. Nair
Journal: Quart. Appl. Math. 43 (1986), 421-429
MSC: Primary 80A20
DOI: https://doi.org/10.1090/qam/846154
MathSciNet review: 846154
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Abstract | References | Similar Articles | Additional Information

Abstract: The solution of the title problem is often approximated by the temperature distribution in a flat plate due to an array of periodically placed heat sources, where the curvature of the pipe is neglected. Here, using an asymptotic expansion in terms of the thickness to radius ratio, linear corrections to the flat plate solution are obtained explicitly. Results indicate that these corrections may be significant depending, of course, on the above small parameter and the speed of the moving source.


References [Enhancements On Off] (What's this?)

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  • [2] A. A. Wells, Heat flow in welding, Welding journal research supplement 31, 263s-267s (1952)
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  • [4] S. Vaidyanathan, A. F. Todaro and I. Finnie, Residual stresses due to circumferential welds, J.f Eng. Mat. and Tech. 95, 233-237 (Oct. 1973)
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DOI: https://doi.org/10.1090/qam/846154
Article copyright: © Copyright 1986 American Mathematical Society


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