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.

引用

页码：6040 / 6046

页数：7

共 11 条

[1] An explicit solution for an instantaneous two-phase Stefan problem with nonlinear thermal coefficients [J].