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Kinetic model of a gas suspension of particles with internal structure

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Abstract

Model kinetic equations are constructed for different relationships between the characteristic flow parameters of a two-phase medium consisting of diatomic molecules and solid particles with internal structure. The interphase collision integrals are represented as expansions with respect to the parameter of the ratio of the masses and in terms of physical quantities such as the transfer and diffusion coefficients, which depend on the model chosen for the transform of inelastic scattering on the surface. Transport equations are obtained for the light component with additional terms that take into account the interphase interactions. For one definite expression for the inelastic scattering transform simple analytic expressions are obtained for the additional terms in the equations of the gas dynamics.

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Literature cited

  1. V. K. Konyukhov and V. N. Faizulaev, “Kinetics of the vibrational relaxation of molecules in a gas-aerosol system and lasers based on two-phase media,” Kvantovaya Elektron. (Moscow),5, 1492 (1978).

    Google Scholar 

  2. V. A. Tsibarov, “Kinetic model of a fluidized bed,” Vestn. LGU, No. 13, 106 (1975).

    Google Scholar 

  3. Yu. P. Lun'kin and V. F. Mymrin, “Kinetic model of a gas suspension,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 1, 134 (1981).

    Google Scholar 

  4. V. S. Galkin, “Derivation of the equations of two-temperature gas dynamics by a modified Chapman-Enskog method,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 1, 145 (1981).

    Google Scholar 

  5. V. V. Struminskii, “Influence of the diffusion velocity on the flow of gas mixtures,” Prikl. Mat. Mekh.,38, 203 (1974).

    Google Scholar 

  6. E. G. Kolesnichenko, “A method of deriving hydrodynamic equations for complicated systems,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 3, 96 (1981).

    Google Scholar 

  7. J. H. Ferziger and H. G. Kaper, Mathematical Theory of Transport Processes in Gases, Amsterdam (1972).

  8. M. Mitchner and C. H. Kruger, Partially Ionized Gases, Wiley, New York (1973).

    Google Scholar 

  9. G. Tenti and R. C. Desai, “Kinetic theory of molecular gases I: models of the linear Waldmann-Snider collision operator,” Can. J. Phys.,53, 1266 (1975).

    Google Scholar 

  10. R. G. Barantsev, Interaction of Rarefied Gases with Surfaces Past which they Flow [in Russian], Nauka, Moscow (1975), p. 343.

    Google Scholar 

  11. D. Montgomeri, “Brownian motion from Boltzmann's equation,” Phys. Fluids,14, 2088 (1971).

    Google Scholar 

  12. A. V. Bogdanov and Yu. E. Gorbachev, “Quasiclassical theory of the interaction of gases with surfaces,” in: Proc. Fourth All-Union Conference on Rarefied Gases [in Russian], Novosibirsk (1980), Ch. 1, pp. 116–128.

  13. G. V. Dubrovskii and A. V. Kondratenko, “Models of the interaction and relaxation of rotating and vibrating molecules,” Zh. Tekh. Fiz.,51, 260 (1981).

    Google Scholar 

  14. A. V. Bogdanov and V. A. Fedotov, “Formulation of a boundary condition for an internal temperature,” Zh. Tekh. Fiz.,51, 882 (1981).

    Google Scholar 

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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 1, pp. 137–143, January–February, 1983.

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Dubrovskii, G.V., Kondratenko, A.V. & Fedotov, V.A. Kinetic model of a gas suspension of particles with internal structure. Fluid Dyn 18, 113–119 (1983). https://doi.org/10.1007/BF01090518

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  • DOI: https://doi.org/10.1007/BF01090518

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