Analytic solution of the Stefan problem in finite mediums-Reference-Cited by-同舟云学术

Analytic solution of the Stefan problem in finite mediums

Published:1994 Issue:1 Volume:52 Page:49-58
ISSN:0033-569X
Container-title:Quarterly of Applied Mathematics
language:en
Short-container-title:Quart. Appl. Math.

Author:

Kar A.,Mazumder J.

Abstract

The classical Stefan problem is considered in this paper for finite mediums with Dirichlet boundary conditions. Analytic solutions for the temperature distributions and the location of the moving interface are obtained by using Lie group theory and the superposition principle. The existence of analytically exact solutions is established by proving the convergence of the solution.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics

Link

http://www.ams.org/qam/1994-52-01/S0033-569X-1994-1262318-3/S0033-569X-1994-1262318-3.pdf

Reference13 articles.

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3. A. Kar and J. Mazumder, Extended solid solution and nonequilibrium phase diagram for Ni-Al alloy formed during laser cladding, Met. Trans. A 20A, 363–371 (1989)

4. L. N. Tao, The Stefan problem of a polymorphous material, J. Appl. Mech. 46, 789–794 (1979)

5. L. N. Tao, On solidification of a binary alloy, Quart. J. Mech. Appl. Math. 33, 211–225 (1980)

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