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Outward spherical solidification of a superheated melt with time dependent boundary flux

Gupta, SC and Arora, PR (1988) Outward spherical solidification of a superheated melt with time dependent boundary flux. In: Applied Scientific Research, 45 (1). 17 -31.

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Abstract

Short-time analytical solutions of solid and liquid temperatures and freezing front have been obtained for the outward radially symmetric spherical solidification of a superheated melt. Although results are presented here only for time dependent boundary flux, the method of solution can be used for other kinds of boundary conditions also. Later, the analytical solution has been compared with the numerical solution obtained with the help of a finite difference numerical scheme in which the grid points change with the freezing front position. An efficient method of execution of the numerical scheme has been discussed in details. Graphs have been drawn for the total solidification times and temperature distributions in the solid.

Item Type: Journal Article
Publication: Applied Scientific Research
Publisher: Springer
Additional Information: Copyright of this article belongs to Springer.
Department/Centre: Division of Mechanical Sciences > Mechanical Engineering
Division of Physical & Mathematical Sciences > Mathematics
Date Deposited: 24 Sep 2010 10:13
Last Modified: 24 Sep 2010 10:13
URI: http://eprints.iisc.ac.in/id/eprint/32440

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