Heat conduction in a melting solid

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Abstract

JSTOR is a not-for-profit service that helps scholars, researchers, and students discover, use, and build upon a wide range of content in a trusted digital archive. We use information technology and tools to increase productivity and facilitate new forms of scholarship. For more information about JSTOR, please contact support@jstor.org. 1. Introduction. There are a number of problems in heat conduction in material is transformed into another with generation or absorption of he are the melting or freezing of a solid and the progress of a temperature-chemical reaction through a solid. Some of these problems have been t various assumptions.1 The problem considered here is the melting of a sol liquid is removed immediately on formation. This problem seems to have sidered before only by Soodak,2 who gave the steady state rate of melting out numerical integration by finite differences for some special values. We first state a general problem and a few results. Then the problem i to make possible a more detailed treatment. For the case of a semi-infinit solid with its face heated at a constant rate, the exact steady state solutio and the problem is put in a form involving only a single parameter. N tegrations have been carried out for this case for several values of the par tending over the entire possible range of the physical constants involved. 2. Statement of problem. We consider one-dimensional heat conduction

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Landau, H. G. (1950). Heat conduction in a melting solid. Quarterly of Applied Mathematics, 8(1), 81–94. https://doi.org/10.1090/qam/33441

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