Abstract

A physical and mathematical model for solidification of a metastable drop in an incompressible gas flow around a revolving cylinder that simulates the leading edge of a wing of an aircraft moving in a supercooled cloud is proposed. The formulas of classical hydrodynamics are used to find the velocity field of the carrying medium (the air). Against this background, the dynamics of a drop that determine the intensity of its blasting and extraction of the heat of crystallization (at the stage of solidification), as well as the rate of cooling of the solidified particle, are studied. The results of the numerical treatment for a typical set of parameters are given. One possible application is the forced crystallization of drops in a supercooled cloud prior to their collision with the surface of an aircraft (for instance, with the aid of advanced exposure to ultrasound) as a means of icing control.

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