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Journal of Applied Mechanics and Technical Physics

2013 year, number 3

Solution of the Classical Single-Phase Stefan Problem in a Modified Formulation for Semitransparent Media

S. D. Sleptsov, N. A. Rubtsov
Keywords: phase transition, single-phase Stefan problem, radiative–conductive heat transfer, gray medium, reflection ratio, emissivity

Abstract

A numerical simulation of the classical Stefan problem is performed in a modified formulation for a semitransparent gray medium. Temperature fields and the resulting radiation flux field are obtained, and the dynamics of displacement of the interface and the evolution of the temperature rise on the black left boundary of the sample for different values of the emissivity factor of the exposed right boundary are studied.