This article is cited in 3 papers

Numerical modeling of the single-phase Stefan problem in a layer with transparent and semitransparent boundaries

N. A. Rubtsov^a, S. D. Sleptsov^a, N. A. Savvinova<sup>b

a</sup> Kutateldze Institute of Thermal Physics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090
^b Yakutsk State University, Yakutsk, 677000

Abstract: Numerical modeling of the single-phase Stefan problem in a semitransparent layer with transparent, nonabsorbing, and partially radiation-absorbing boundaries is performed. It is shown that at low temperatures of the medium, convection is a determining factor on the boundary of the irradiated sample, and at high temperatures, radiation is predominant. The absence of absorption on the boundaries of the layer leads to acceleration of the heating of the plate and considerable deceleration of melting processes.

Keywords: radiation, absorption, heating, phase transition, convection, heat conduction.

UDC: 536.3+536.42

Received: 14.07.2005

 English version: Journal of Applied Mechanics and Technical Physics, 2006, 47:3, 377–383

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