Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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



Temperature distribution in solids of variable thermal properties heated by moving heat sources

Authors: R. J. Grosh, E. A. Trabant and G. A. Hawkins
Journal: Quart. Appl. Math. 13 (1955), 161-167
MSC: Primary 35.0X
DOI: https://doi.org/10.1090/qam/72360
MathSciNet review: 72360
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Abstract: The temperature distribution in rods, plates, and infinite solids heated by moving plane, line, and point heat sources is obtained for the quasi-stationary state. The thermal properties of the solid can vary as a linear, parabolic, or some other convenient function of temperature as long as the thermal diffusivity of the material remains nearly constant.

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

  • [1] M. Jakob, Heat transfer, John Wiley and Sons, 1949
  • [2] R. W. Powell and co-workers, The physical properties of a series of steels, J. Iron and Steel Instit., 154, 83 (1946)
  • [3] D. Rosenthal, The theory of moving sources of heat and its application to metal treatments, Trans. A.S.M.E. 68, 849 (1946)
  • [4] D. Rosenthal and R. H. Cameron, Temperature distribution in cylinder heated by point source moving along its axis, Trans. A.S.M.E. 69, 961 (1947)
  • [5] R. J. Grosh, Temperature distribution in welding, Ph.D. dissertation, Purdue University, August 1953

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DOI: https://doi.org/10.1090/qam/72360
Article copyright: © Copyright 1955 American Mathematical Society

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