Description of Dynamic Processes in Two-Phase Colliding Media with the Use of Molecular-Kinetic Approaches
T. A. Khmel' and A. V. Fedorov
Khristianovich Institute of Theoretical and Applied Mechanics, Siberian Branch, Russian Academy of Sciences
Novosibirsk, 630090 Russia
Keywords: gas suspension, granular medium, shock wave, mathematical modeling
Abstract
A model of a reacting two-phase medium consisting of a gas and incompressible particles, which takes into account the collisional dynamics of random motion of particles, is presented. Molecular-kinetic approaches of the theory of granular media are applied. Shock wave patterns are analyzed, and conditions on strong discontinuities in the two-phase mixture are obtained. Two types of discontinuities are identified: without and with generation of the random energy on the shock wave. For shock waves of the second type, the amplitude of the particle concentration is independent of the wave propagation velocity. The model is verified against the results on the velocity of sound measured in mixtures ejected from a high-pressure chamber of a shock tube.
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