An approximate analytical solution of one-dimensional phase change problems in a finite domain
type: Item
instance of: scholarly article
title: An approximate analytical solution of one-dimensional phase change problems in a finite domain
zbMATH Open document ID: 1225.80006
author: Juan-Miguel Gracia
published in: Applied Mathematics and Computation
publication date: 2011-03-28T00:00:00Z
review text: The aim of this papers is to present an approximate analytical solution to a one-dimensional mathematical model of the two-phase Stefan problem. The system of parabolic differential equations governing the process of heat transform in two regions are converted to first order differential equations using finite sine transform. Using the inverse sine transform the authors find the analytical solution of the dimensionless temperature in both regions. Additionally, the location of the moving interface during the freezing process in a finite domain is studied and the results of this investigation are discussed graphically. It is shown that in particular cases the two phase problem will be converted into a one-phase problem and a comparative study of the results with other results is presented graphically.
Mathematics Subject Classification ID: 80A22
zbMATH DE Number: 5870866
zbMATH Keywords: Stefan problem
zbMATH Keywords: interface location
zbMATH Keywords: phase change problem
zbMATH Keywords: sine transforms
zbMATH Keywords: parabolic equation
reviewed by: Jerzy August Gawinecki
MaRDI profile type: Publication
full work available at URL: j.amc.2010.10.032
OpenAlex ID: W2062266778
cites work: Q3338613
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DOI: 10.1016/J.AMC.2010.10.032
description: scientific article; zbMATH DE number 5870866