Abstract:
The process of propagation of shock waves in two-component mixtures is considered. The studies were performed within the framework of the two-velocity approximation of mechanics of heterogeneous media with account of different pressures of the components. The stability of propagation of all types of stationary shock waves (fully dispersed, frozen-dispersed, dispersed-frozen, and frozen shock waves of two-front configuration) to infinitesimal and finite perturbations is shown numerically, using the method of coarse particles. The problem of initiation of shock waves (the formation of different types of shock waves from stepwise initial data) is solved. Flows in the transonic range relative to the speed of sound in the first component are obtained.
Citation:
A. A. Zhilin, A. V. Fedorov, “Propagation of shock waves in a two-phase mixture with different pressures of the components”, Prikl. Mekh. Tekh. Fiz., 40:1 (1999), 55–63; J. Appl. Mech. Tech. Phys., 40:1 (1999), 46–53
\Bibitem{ZhiFed99}
\by A.~A.~Zhilin, A.~V.~Fedorov
\paper Propagation of shock waves in a two-phase mixture with different pressures of the components
\jour Prikl. Mekh. Tekh. Fiz.
\yr 1999
\vol 40
\issue 1
\pages 55--63
\mathnet{http://mi.mathnet.ru/pmtf3029}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 1999
\vol 40
\issue 1
\pages 46--53
\crossref{https://doi.org/10.1007/BF02467971}
Linking options:
https://www.mathnet.ru/eng/pmtf3029
https://www.mathnet.ru/eng/pmtf/v40/i1/p55
This publication is cited in the following 3 articles:
T. A. Khmel, “Modeling of dynamic processes in slightly dusty and saturated gas suspensions (review)”, Combustion, Explosion and Shock Waves, 57:3 (2021), 257–269
A. V. Fedorov, T. A. Khmel, “About qualitative properties of the collisional model for description of shock-wave dynamics of gas particle suspensions”, Math. Models Comput. Simul., 11:5 (2019), 818–830
A. V. Fedorov, “Shock Wave Structure in a Mixture of Condensed Media with Different Pressures”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 7:1 (2014), 104–120
Citation in format AMSBIB
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