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The evolution of the initially disturbed mixing layer of two gases of different densities under the action of an incident shock wave, shock waves reflected from the end face, compression and expansion waves is studied in a two-dimensional unsteady approximation on the basis of the previously formulated mathematical model of mechanics of a two-velocity two-temperature mixture of gases. Problems of wave interaction with a sinusoidally disturbed diffusion layer are solved numerically. It is shown that the calculated width of the mixing region is in good agreement with experimental data. [ABSTRACT FROM AUTHOR]

A problem of evolution of the Rayleigh-Taylor instability on a sinusoidally perturbed interface in the field of artificial gravity is studied on the basis of the model of a three-velocity three-temperature mixture of gases. If the upper part of the mixture consists of the light and heavy gases (the heavy gas is heavier than the pure gas at the bottom, but the mixture as a whole is lighter than the pure gas), it is demonstrated that the growth of perturbations with formation of mixture jets penetrating into the pure gas is observed in a certain range of concentrations of the heavy gas. [ABSTRACT FROM AUTHOR]

Based on the previously formulated mathematical model of mechanics of a two-velocity two-temperature mixture of gases, the evolution of an initially disturbed mixing layer of two gases with different densities under the action of shock waves is considered in a two-dimensional unsteady approximation. Problems of interaction of shock waves with a sinusoidally disturbed diffuse layer are solved numerically. The predicted variation of the mixing-region width are in satisfactory agreement with experimental data. [ABSTRACT FROM AUTHOR]

A mathematical model of mechanics of a two‐velocity two‐temperature mixture of gases is developed. Based on this model, evolution of the mixing layer of two gases with different densities under the action of shock and compression waves is considered by methods of mathematical simulation in the one‐dimensional unsteady approximation. In the asymptotic approximation of the full model, a solution of an initial‐boundary problem is obtained, which describes the formation of a diffusion layer between two gases. Problems of interaction of shock and compression waves with the diffusion layer are solved numerically in the full formulation. It is shown that the layer is compressed as the shock wave traverses it; the magnitude of compression depends on shock‐wave intensity. As the shock wave passes from the heavy gas to the light gas, the mixing layer becomes overcompressed and expands after shock‐wave transition. The wave pattern of the flow is described in detail. The calculated evolution of the mixing‐layer width is in good agreement with experimental data. [ABSTRACT FROM AUTHOR]