Quasi-one-dimensional model of heat and mass transfer during sublimation of a molecular crystal plate in a plane channel

An unsteady quasi-one-dimensional model is constructed for the process of sublimation of a monocrystalline plate of $\beta$-diketonate in a uniform flow of an indifferent gas. A method of collocations and least squares is developed for solving heat-transfer problems. In contrast to the previous variants of the method, the algorithm proposed is designed for solving unsteady equations in partial derivatives with a phase transition. Numerical calculations are performed for various regimes of sublimation of chromium $\beta$-diketonate; the results are in good agreement with the data of a physical experiment.