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.
M. Jakob, Heat transfer, John Wiley and Sons, 1949
R. W. Powell and co-workers, The physical properties of a series of steels, J. Iron and Steel Instit., 154, 83 (1946)
D. Rosenthal, The theory of moving sources of heat and its application to metal treatments, Trans. A.S.M.E. 68, 849 (1946)
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)
R. J. Grosh, Temperature distribution in welding, Ph.D. dissertation, Purdue University, August 1953
M. Jakob, Heat transfer, John Wiley and Sons, 1949
R. W. Powell and co-workers, The physical properties of a series of steels, J. Iron and Steel Instit., 154, 83 (1946)
D. Rosenthal, The theory of moving sources of heat and its application to metal treatments, Trans. A.S.M.E. 68, 849 (1946)
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)
R. J. Grosh, Temperature distribution in welding, Ph.D. dissertation, Purdue University, August 1953
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Article copyright:
© Copyright 1955
American Mathematical Society
