Mathematical modeling of cloudy ice thawing

\nThe mathematical model of melting ice with inclusions in the form of gas bubbles (cloudy ice) is a problem of radiation-conductive heat transfer in a semitransparent two-phase medium that selectively absorbs and scatters radiation during radiation heating by an external source of thermal radiation. The mathematical problem statement represents the single-phase formulation of the Stefan problem. The temperature distributions and radiation fluxes in a flat layer of melting ice, the rate of ice melting were calculated by a numerical method. To solve the radiation transfer equation was used a modified mean flux method, which allows taking into account a wide range of optical properties of the two-phase medium and the source of thermal radiation. The influence of anisotropic scattering and strong absorption of radiation by the gas contained in the bubbles on the intensity of heating and melting of the ice layer was studied.\n