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Two-dimensional heat conduction with phase change in a semi-infinite mould

Gupta, SC (1981) Two-dimensional heat conduction with phase change in a semi-infinite mould. In: International Journal of Engineering Science, 19 (1). pp. 137-146.

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Analytical solution of a 2-dimensional problem of solidification of a superheated liquid in a semi-infinite mould has been studied in this paper. On the boundary, the prescribed temperature is such that the solidification starts simultaneously at all points of the boundary. Results are also given for the 2-dimensional ablation problem. The solution of the heat conduction equation has been obtained in terms of multiple Laplace integrals involving suitable unknown fictitious initial temperatures. These fictitious initial temperatures have interesting physical interpretations. By choosing suitable series expansions for fictitious initial temperatures and moving interface boundary, the unknown quantities can be determined. Solidification thickness has been calculated for short time and effect of parameters on the solidification thickness has been shown with the help of graphs.

Item Type: Journal Article
Publication: International Journal of Engineering Science
Publisher: Elsevier Science Ltd.
Additional Information: Copyright of this article belongs to Elsevier Science Ltd.
Department/Centre: Division of Physical & Mathematical Sciences > Mathematics
Date Deposited: 18 Dec 2009 11:48
Last Modified: 19 Sep 2010 05:48
URI: http://eprints.iisc.ac.in/id/eprint/23909

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