Melting of a long cylinder due to an axisymmetric hot spot

Gupta, SC (1987) Melting of a long cylinder due to an axisymmetric hot spot. In: PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 96 (2). pp. 87-102.

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Abstract

By employing a new embedding technique, a short-time analytical solution for the melting of a long cylinder due to an axisymmetric hot spot is presented in this paper. The melt is removed as soon as it is formed. The initial propagation of the melt along the interior of the cylinder exhibits a well-known behaviour. However, the melt propagation along the surface of the cylinder is of a new type and depending on the applied flux whether it is the continuation of the pre-melting flux or diferent, the initial propagation of the melt along the surface is proportional tot$^{1/2}$ ort$^{1/4}$, wheret is the dimensionless time. The melt propagation is much faster along the surface of the cylinder than towards the interior.

Item Type:	Journal Article
Publication:	PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES
Publisher:	Indian Academy of Sciences
Additional Information:	Copyright for this article belongs to Indian Academy of Sciences.
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	31 Dec 2008 07:29
Last Modified:	22 Oct 2010 06:20
URI:	http://eprints.iisc.ac.in/id/eprint/16295

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