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JOURNALS // Prikladnaya Mekhanika i Tekhnicheskaya Fizika // Archive

Prikl. Mekh. Tekh. Fiz., 1999 Volume 40, Issue 6, Pages 3–10 (Mi pmtf3162)

Reflection of shock waves from a solid boundary in a mixture of condensed materials. 2. Nonequilibrium approximation

A. A. Zhilin, A. V. Fedorov

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

Abstract: The process of reflection of shock waves from a solid wall in a two-component mixture of condensed materials is numerically studied with account of the difference in velocities and pressures of the components within the framework of mechanics of heterogeneous media. It is shown that a shock wave (SW) of the dispersed type with monotonic velocity profiles. A dispersed SW with a nonmonotonic velocity profile in the light component and a monotonic velocity profile in the heavy component is reflected by an SW of the dispersed-frozen type. When a frozen-dispersed SW is reflected, its type is either preserved, or changed to the dispersed-frozen structure depending on the initial parameters of the mixture. A dispersed-frozen SW is reflected by an SW of the same type with slight changes in the velocity and pressure profiles. A frozen SW of the two-front configuration can be reflected as an SW of the dispersed-frozen type or a frozen SW of the two-wave configuration. It is shown that a boundary layer is formed near the wall, where the volume concentration and the density of the light component exceed the corresponding values behind the reflected SW.

UDC: 532.529

Received: 22.12.1997


 English version:
Journal of Applied Mechanics and Technical Physics, 1999, 40:6, 995–1001


© Steklov Math. Inst. of RAS, 2024