Choice of the intermolecular collision frequency for model kinetic equations in the theory of motion of a rarefied gas / Kalinin E.V., Kalinin V.V., Porodnov B.T., Seleznev V.D. // Journal of Engineering Physics. - 1984. - V. 46, l. 4. - P. 415-422.

ISSN:
00220841
Type:
Article
Abstract:
The effect of the intermolecular collision frequency on the nonisothermal motion of a rarefied gas is considered. © 1984 Plenum Publishing Corporation.
Author keywords:
Index keywords:
GASES, INERT; MATHEMATICAL STATISTICS; PHYSICS - Molecular; COUETTE FLOW; INTERMOLECULAR COLLISIONS; NONISOTHERMIC MOTION; THERMODYNAMIC FORCES; GASES
DOI:
10.1007/BF00826399
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Affiliations Sverdlovsk Engineering Institute, Russia
References B. T. Porodnov, “On the effectiveness of molecular and statistical models of the Boltzmann molecular collision operator I. Poiseuille flow,” Manuscript submitted to S. M. Kirov Ukr. Polytech. Inst., Sverdlovsk; Dep. in VINITI, No. 1064-78, 28 March, 1978; B. T. Porodnov, “On the effectiveness of molecular and statistical models of the Boltzmann molecular collision operator II. Thermal creep,” Manuscript submitted to S. M. Kirov Ukr. Polytech. Inst., Sveerdlovsk; Dep in VINITI, No. 1780-78, May 30, 1978; B. T. Porodnov, “On the effectiveness of molecular and statistical models of the Boltzmann molecular collision operator III. Thermomolecular pressure difference,” Manuscript submitted to S. M. Kirov Ukr. Polytech. Inst., Sverdlovsk; Dep in VINITI, No. 2151-78, 27 June, 1978; Edwards, R.H., Low-density flows through tubes and nozzles (1977) Proc. of 10th International Symp. in: Rarefied Gas Dynamics, 1, pp. 199-223; Skakun, S.G., Suetin, P.E., Chernyak, V.G., Gas flow and thermomolecular pressure difference in a plane channel (1974) Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, 4, pp. 179-183; Cherchin'yani, K., (1973) Mathematical Methods in the Kinetic Theory of Gases [in Russian], , Mir, Moscow; Chernyak, V.G., Kalinin, V.V., Suetin, P.E., Theory of nonisothermal motion of a gas in a plane channel (1979) Inz.-Fiz. Zh., 36 (6), pp. 1059-1065; Chernyak, V.G., Kalinin, V.V., Suetin, P.E., Theory of thermomolecular pressure and mechanocaloric effects in a cylindrical channel (1979) Inz.-Fiz. Zh., 37 (1), p. 98; Shakhov, E.M., (1974) Methods of Rarefied Gas Dynamics [in Russian], , Nauka, Moscow; McCormack, F.J., Construction of linearized kinetic models for gaseous mixtures and molecular gases (1973) Phys. Fluids, 16 (12), pp. 2095-2105; Abe, T., Oguchi, H., A hierarchy kinetic model and its application (1977) Proc. 10th International Symp., 2, pp. 781-793; Abe, T., Oguchi, H., Higher-kinetic model analysis of cylindrical Couette flows: Proc. 11th International Sump. (1979) Rarefied Gas Dynamics, 1, pp. 177-186; Gross, E.P., Jackson, E.A., Kinetic models and the linearized Boltzmann equation (1959) Phys. Fluids, 2 (4), pp. 432-441; Abramowitz, M., Evaluation of the integral∫0∞e-μ^2-x/μdu (1953) J. Math. Phys., 32 (2-3), pp. 188-192; Handbook of Special Functions [in Russian], Nauka, Moscow (1979); S. R. De Groot and P. Mazur, Non-equilibrium Thermodynamics, Elsevier (1964); Loyalka, S.K., Kinetic theory of thermal transpiration and mechanocaloric effect I (1971) J. Chem. Phys., 55 (9), pp. 4497-4503; V. V. Kalinin, E. V. Kalinin, and v. G. Chernyak, “Nonisothermal motion of a binary mixture in a plane channel for arbitrary Knudsen numbers,” Sverdlovsk, 1980. Manuscript submitted to A. M. Gor'kii Ukr. State Univ., Dep. in VINITI, May 20, 1980, No. 1962–80; Mikhlin, S.G., (1970) Variational Methods in Mathematical Physics [in Russian], , Nauka, Moscow; Shakhov, E.M., On the generalized relaxation kinetic equation of Kruka (1968) Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, 5, pp. 142-145; Kogan, M.N., (1967) Rarefied Gas Dynamics [in Russian], , Nauka, Moscow; Holway, L.H., New statistical models for kinetic theory: methods of construction (1966) Phys, Fluids, 9 (9), pp. 1658-1673; Chapman, S., Cowling, T., (1952) The Mathematical Theory of Non-Uniform Gases, , 2nd Ed., Cambridge Univ. Press, Cambridge; J. O. Hirschfelder, C. Curtiss, and R. Bird, Molecular Theory of Gases and Liquids, Wiley (1964); J. H. Ferziger and H. G. Kaper, Mathematical Theory of Transport Processes in Gases, Elsevier (1972); Borisov, S.F., Kalinin, B.A., Porodnov, B.T., Suetin, P.E., Measurement of the viscosity coefficients of gases by the unsteady flow method (1973) Inz.-Fiz. Zh., 24 (1), pp. 67-69; Thermophysical Properties of Neon, Argon, Krypton, and Xenon [in Russian], Standartov, Moscow (1976); Vargaftik, N.B., Filippov, L.P., Tarsimanov, A.A., Totskii, E.E., (1978) Thermal Conduction in Liquids and Gases [in Russian], , Standartov, Moscow; Suetin, P.E., Chernyak, V.G., Dependence of Poiseuille slip and thermal creep on the form of the molecular interaction for a gs with a bounding surface (1977) Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, 6, pp. 107-114; V. V. Kalinin, E. V. Kalinin, and L. A. Krapivina, “On the effect of the interaction of the molecules with a surface on heat and mass transport in channels,” in: Mechanics of Continuous Media. Mechanics of Liquids and Gases, Perm (1980), pp. 40–42; Chernyak, V.G., Porodnov, B.T., Suetin, P.E., Plane Poiseuille flow for arbitrary accommodation of tangential impulse (1973) Izv. Vyssh. Uchebn. Zaved., Fiz., 6, pp. 107-110; Loyalka, S.K., Petrellis, N., Storvick, T.S., Some numerical results for the BGK model: Thermal creep and viscous slip problems with arbitrary accommodation at the surface (1975) Phys. Fluids, 18 (9), pp. 1094-1099; Chernyak, V.G., Margilevskii, A.E., Porodnov, B.T., Suetin, P.E., Effect of interaction of a gas with a surface on thermal creep in a plane channel (1975) Inzh.-Fiz. Zh., 28 (4), pp. 624-629; Kogan, M.N., Makashev, N.K., Flow of a gas in a plane channel with longitudinal temperature gradient at arbitrary Knudsen numbers (1970) TsAGI, 1 (2), pp. 69-74
Correspondence Address Kalinin, E.V.; Sverdlovsk Engineering InstituteRussia
Publisher Kluwer Academic Publishers-Plenum Publishers
Language of Original Document English
Abbreviated Source Title Journal of Engineering Physics
Source Scopus