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This article is cited in 9 scientific papers (total in 9 papers)
The shock waves structure in the gas-particles mixture with chaotic pressure
A. V. Fedorovab, I. A. Bedareva a Khristianovich Institute of Theoretical and Applied Mechanics SB RAS, Novosibirsk
b Novosibirsk State Technical University, Novosibirsk
Abstract:
The propagation of shock waves in a mixture of gas and fine solid particles is considered in the frame of the mathematical model Anderson taking into account the differences between phases velocities and pressures. An approximate mathematical model of the flow is offered, which ignores the dependence of the first phase pressure on the particles volume concentration, but takes into account the terms, representing the particle volume concentration multiplied on a gas phase pressure gradient. The mathematical model has a hyperbolic type in this case. Classification of the shock waves types is done that are realized in the mixture for these heterogeneous media mechanics equations. The propositions about shock waves types are illustrated by numerical calculations in the stationary and non-stationary statements. For this purpose the original numerical TVD-type method is developed.
Keywords:
mixture of gas and solid particles, particle phase pressure, shock wave structure, frozen and dispersion shock waves, numerical methods.
Received: 12.05.2016
Citation:
A. V. Fedorov, I. A. Bedarev, “The shock waves structure in the gas-particles mixture with chaotic pressure”, Matem. Mod., 29:6 (2017), 3–20; Math. Models Comput. Simul., 10:1 (2018), 1–14
Linking options:
https://www.mathnet.ru/eng/mm3854 https://www.mathnet.ru/eng/mm/v29/i6/p3
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Abstract page: | 330 | Full-text PDF : | 91 | References: | 58 | First page: | 13 |
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