Unsteady diffusion from a source in uniform stream
Author:
C. Y. Wang
Journal:
Quart. Appl. Math. 50 (1992), 49-55
MSC:
Primary 76R50; Secondary 80A20
DOI:
https://doi.org/10.1090/qam/1146623
MathSciNet review:
MR1146623
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Abstract: Basic exact solutions for an unsteady point heat source in a uniform stream are presented. The governing equation is solved using changes of variables and Laplace transform. Both diffusion and convection are important. The periodic source sheds a trail of thermal energy packets, alternating and rapidly decreasing in strength. The suddenly started source reaches steady state in a time of 4(diffusivity)/(velocity)$^{2}$.
A. V. Liukov, Analytical Heat Diffusion Theory, Academic Press, New York, 1968
- J. Crank, The mathematics of diffusion, 2nd ed., Clarendon Press, Oxford, 1975. MR 0359551
D. Rosenthal, The theory of moving sources of heat and its application to metal treatments, Trans. ASME 68, 849–866 (1946)
M. Jacob, Heat Transfer, Vol. I, Wiley, New York, 1949
A. V. Liukov, Analytical Heat Diffusion Theory, Academic Press, New York, 1968
J. Crank, The Mathematics of Diffusion, 2nd ed., Clarendon Press, Oxford, 1975
D. Rosenthal, The theory of moving sources of heat and its application to metal treatments, Trans. ASME 68, 849–866 (1946)
M. Jacob, Heat Transfer, Vol. I, Wiley, New York, 1949
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Article copyright:
© Copyright 1992
American Mathematical Society
