A CERTAIN ANALYTICAL METHOD USED FOR SOLVING THE STEFAN PROBLEM

Abstract

The paper presents an analytic method applied for finding the approxi- mate 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 de- scribing 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 pro- posed procedure will be compared with the results obtained with the aid of a classical numerical method served for solving the Stefan problem.

Keywords

Dates

  • Submission Date2012-08-26
  • Revision Date2013-01-30
  • Acceptance Date2013-04-24
  • Online Date2013-06-01

DOI Reference

10.2298/TSCI120826050G

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