Explicit solutions to phase change problems-Reference-Cited by-同舟云学术

Explicit solutions to phase change problems

Published:1983 Issue:2 Volume:41 Page:237-243
ISSN:0033-569X
Container-title:Quarterly of Applied Mathematics
language:en
Short-container-title:Quart. Appl. Math.

Author:

Solomon A. D.,Wilson D. G.,Alexiades V.

Abstract

We examine two heat transfer and phase change problems having explicit solutions. The first involves melting of an initially cold material and clarifies the meaning of a recent result of Tarzia [5]. The second concerns a model of binary alloy solidification which, in some cases, is seen to be incorrect.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics

Link

http://www.ams.org/qam/1983-41-02/S0033-569X-1983-0719507-5/S0033-569X-1983-0719507-5.pdf

Reference6 articles.

1. A. B. Crowley and J. Ockendon, On the numerical solution of an alloy solidification problem, International Journal of Heat and Mass Transfer, 22, 941–947 (1979)

2. L. Rubinstein, Solidification of a binary alloy, Free Boundary Problems, Vol. 1, Proceedings of a seminar held in Pavia, Sept.-Oct., 1979, Instituto Nazionale di Alta Matematica F. Severi, Rome, 399–416, 1980

3. An inequality for the coefficient 𝜎 of the free boundary 𝑠(𝑡)=2𝜎√𝑡 of the Neumann solution for the two-phase Stefan problem;Tarzia, Domingo Alberto;Quart. Appl. Math.,1981

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