Consideration of isotropic scattering of radiation in the single-phase Stefan problem for the medium with semitransparent boundaries

Abstract

The single-phase Stefan problem is solved by the methods of numerical design for the semitransparent gray crystalline medium with consideration of bulk isotropic scattering. Dependence of radiation scattering albedo on boundary reflection coefficient is shown. The conditions of phase process, obtained through solving the problem, allow the development of both efficient materials for heat protection and better methods of melting for the semitransparent materials, depending on the optical properties of boundaries.