Mathematical modeling of ice melt during irradiation by selective source of thermal radiation

A numerical simulation of the melting of an ice layer on a vertical substrate heated from a radiation source in the form of a halogen lamp in the single-phase formulation of the Stefan problem was carried out. Ice is presented in the form of a pure, non-scattering, selectively absorbing material with two spectral bands of bulk absorption. The computational model takes into account the selective nature of the radiation source. Analysis of the calculation results shows the dominant effect of the incident radiation on the formation of the flux density field of the resulting radiation in the medium. Comparison of the results shows a satisfactory agreement with experimental data.