THERMAL SCIENCE

International Scientific Journal

Jitendra Singh

,

Praveen Kumar Gupta

,

Kabindra Nath Rai

VARIATIONAL ITERATION METHOD TO SOLVE MOVING BOUNDARY PROBLEM WITH TEMPERATURE DEPENDENT PHYSICAL PROPERTIES

ABSTRACT
In this paper, variational iteration method is used to solve a moving boundary problem arising during melting or freezing of a semi infinite egion when physical properties (thermal conductivity and specific heat) of the two regions are temperature dependent. The Result is compared with result obtained by exact method (when thermal conductivity and specific heat in two regions are temperature independent) and semi analytical method (When thermal conductivity and specific heat are temperature dependent) and are in good agreement. We obtain the solution in the form of continuous functions. The method performs extremely well in terms of efficiency and simplicity and effective for solving the moving boundary problem.
KEYWORDS
moving boundary problem, phase change process, temperature distribution, thermal conductivity and specific heat, freezing, Stefan number, variational iteration method
PAPER SUBMITTED: 2010-02-26
PAPER REVISED: 2010-08-27
PAPER ACCEPTED: 2011-03-15
DOI REFERENCE: https://doi.org/10.2298/TSCI100226024S
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2011, VOLUME 15, ISSUE Supplement 2, PAGES [S229 - S239]
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Variational iteration method to solve moving boundary problem with temperature dependent physical properties

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