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International Journal of Engineering Mathematics
Volume 2013, Article ID 785609, 8 pages
http://dx.doi.org/10.1155/2013/785609
Research Article

Numerical Solution of Fractional Diffusion Equation Model for Freezing in Finite Media

Department of Applied Mathematics and Humanities, S. V. National Institute of Technology, Surat-395 007, India

Received 28 March 2013; Accepted 8 August 2013

Academic Editor: C. Nataraj

Copyright © 2013 R. S. Damor et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Phase change problems play very important role in engineering sciences including casting of nuclear waste materials, vivo freezing of biological tissues, solar collectors and so forth. In present paper, we propose fractional diffusion equation model for alloy solidification. A transient heat transfer analysis is carried out to study the anomalous diffusion. Finite difference method is used to solve the fractional differential equation model. The temperature profiles, the motion of interface, and interface velocity have been evaluated for space fractional diffusion equation.