THE STEFAN PROBLEM FOR COMBINED RADIATIVE AND CONDUCTIVE HEAT-TRANSFER IN A PLANE LAYER OF A SELECTIVE SEMITRANSPARENT MEDIUM

A numerical procedure is proposed for solving the Stefan problem in application to combined radiative and conductive heat transfer in a plane sample of a selective semitransparent nonscattering material, which is separated from outer specularly and diffusely reflecting and radiating opaque surfaces by vacuum gaps. The thermophysical and optical properties of the medium depend on the temperature. Provision is made for the possibility of solving the two-layer problem with a fixed interface between layers of different materials.