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Fizika Goreniya i Vzryva, 1994 Volume 30, Issue 4, Pages 91–99 (Mi fgv2939)

Mathematical modeling of the motion of an air suspension taking into account nonequilibrium melting (crystallization)

A. V. Fedorov

Institute of Theoretical and Applied Mechanics, Siberian Branch, Russian Academy of Sciences, Novosibirsk 630090

Abstract: Within the framework of the mechanics of heterogeneous media undergoing phase transformations, we propose a mathematical model for describing the flow of a mixture of gas and liquid (solid) metal particles. We consider the difference between the velocities and temperatures of the phases and the nonequilibrium nature of the phase transition. As an example, we solve the problem of the structure of a shock wave in an air suspension of melting particles. We isolate the conditions determining the monotonic and nonmonotonic temperature behavior of the mixture. We present numerical data illustrating the determined types of motion of the gas suspension.

UDC: 532.529

Received: 28.04.1993
Accepted: 25.01.1994


 English version:
Combustion, Explosion and Shock Waves, 1994, 30:4, 492–499


© Steklov Math. Inst. of RAS, 2026