Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



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: 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?)

  • [1] A. A. Wells, The mechanics of brittle fracture, Welding Research 7, 34r-56r (1953)
  • [2] A. A. Wells, Heat flow in welding, Welding journal research supplement 31, 263s-267s (1952)
  • [3] H. A. Carslaw and J. C. Jaeger, Conduction of heat in solids, Second edition, Oxford Clarendon Press, 1959
  • [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)
  • [5] S. Vaidyanathan, H. Weiss and I. Finnie, A further study of residual stresses in circumferential welds, Trans. ASME J. of Eng. Mat. and Tech. 95, 238-242 (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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