THERMAL SCIENCE

International Scientific Journal

Radoslaw Grzymkowski

,

Edyta Hetmaniok

,

Mariusz Pleszczyński

,

Damian Słota

A CERTAIN ANALYTICAL METHOD USED FOR SOLVING THE STEFAN PROBLEM

ABSTRACT
The paper presents an analytic method applied for finding the approximate solution of Stefan problem reduced to the one-phase solidification problem of a plate with the unknown a priori, varying in time boundary of the region in which the solution is sought. Proposed method is based on the known formalism of initial extension of a sought function describing the field of temperature into the power series, some coefficients of which can be determined with the aid of boundary conditions, and on the approximation of a function defining the freezing front location with the broken line, parameters of which can be obtained by solving the appropriate differential equations. Results received by applying the proposed procedure will be compared with the results obtained with the aid of a classical numerical method served for solving the Stefan problem.
KEYWORDS
Stefan problem, solidification, analytic method, boundary element method
PAPER SUBMITTED: 2012-08-26
PAPER REVISED: 2013-01-30
PAPER ACCEPTED: 2013-04-24
PUBLISHED ONLINE: 2013-06-01
DOI REFERENCE: https://doi.org/10.2298/TSCI120826050G
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2013, VOLUME 17, ISSUE Issue 3, PAGES [635 - 642]
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A certain analytical method used for solving the Stefan problem

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