Two-dimensional solidification in a cylindrical mold with imperfect mold contact

Gupta, SC (1985) Two-dimensional solidification in a cylindrical mold with imperfect mold contact. In: International Journal of Engineering Science, 23 (9). pp. 901-913.

PDF pdf.pdf - Published Version Restricted to Registered users only Download (1MB) | Request a copy

Abstract

A two-dimensional axisymmetric problem of solidification of a superheated liquid in a long cylindrical mold has been studied in this paper by employing a new embedding technique. The mold and the melt has an imperfect contact and the heat transfer coefficient has been taken as a function of space and time. Short-time exact analytical solutions for the moving boundary and temperature distributions in the liquid, solid and mold have been obtained. The numerical results indicate that with the present solution, for some parameter values, substantial solidified thickness can be obtained. The method of solution is simple and straightforward, and consists of assuming fictitious initial temperatures for some suitable fictitious extensions of the actual regions. Sufficient conditions for the commencement of the solidification have been discussed.

Item Type:	Journal Article
Publication:	International Journal of Engineering Science
Publisher:	Elsevier Science
Additional Information:	The copyright of this article belongs to Elsevier Science
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	16 Nov 2009 13:20
Last Modified:	19 Sep 2010 05:33
URI:	http://eprints.iisc.ac.in/id/eprint/20481

Actions (login required)

View Item