THERMAL SCIENCE

International Scientific Journal

Liang-Hui Qu

,

Lin Xing

,

Zhi-Yun Yu

,

Feng Ling

,

Jian-Guo Xu

AN APPROXIMATE METHOD FOR SOLVING A MELTING PROBLEM WITH PERIODIC BOUNDARY CONDITIONS

ABSTRACT
An effective thermal diffusivity method is used to solve one-dimensional melting problem with periodic boundary conditions in a semi-infinite domain. An approximate analytic solution showing the functional relation between the location of the moving boundary and time is obtained by using Laplace transform. The evolution of the moving boundary and the temperature field in the phase change domain are simulated numerically, and the numerical results are compared with previous results in open literature.
KEYWORDS
melting problem, periodic boundary, laplace transform, approximate analytic solution, moving boundary
PAPER SUBMITTED: 2013-12-02
PAPER REVISED: 2014-04-16
PAPER ACCEPTED: 2014-07-15
PUBLISHED ONLINE: 2015-01-04
DOI REFERENCE: https://doi.org/10.2298/TSCI1405679Q
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2014, VOLUME 18, ISSUE Issue 5, PAGES [1679 - 1684]
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An approximate method for solving a melting problem with periodic boundary conditions

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence