An approximate analytical solution of one-dimensional phase change problems in a finite domain

被引：5
|
作者：
Das, S. [1 ]
Rajeev [1 ]
机构：
[1] Banaras Hindu Univ, Inst Technol, Dept Appl Math, Varanasi 221005, Uttar Pradesh, India
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 217卷 / 13期
关键词：
Stefan problem; Interface location; Phase change problem; Sine transforms; SOLIDIFICATION;
D O I：
10.1016/j.amc.2010.10.032
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we present an approximate analytical solution for solving one dimensional two phase Stefan problem. The finite sine transform technique is used to convert the non dimensional form from a space domain to a wave number domain. Inverse finite sine transform is used to obtain the desired solution. The location of moving interface during freezing process in a finite domain is studied and the result thus obtained are discussed graphically. The whole analysis is presented in a non dimensional form. (C) 2010 Elsevier Inc. All rights reserved.
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页码：6040 / 6046
页数：7
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