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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2010, Volume 50, Number 7, Pages 1303–1314
(Mi zvmmf4910)
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This article is cited in 3 scientific papers (total in 3 papers)
A modified Chapman–Enskog method in terms of intensive parameters
M. A. Rydalevskaya Faculty of Mathematics and Mechanics, St. Petersburg State University, Universitetskii pr. 28, St. Peterburg, 198504 Russia
Abstract:
A kinetic description of gas mixtures with internal degrees of freedom and chemical reactions is presented. The kinetic equations are solved using a modified Chapman-Enskog method with the transition from the governing extensive parameters to adjoint intensive ones. The advantages of this transition are discussed. It is shown that, due to this transition, a number of theorems of classical aerodynamics can be extended to nonbarotropic gas flows with physicochemical processes and the dependence of the sound velocity on intensive parameters can be found in the zero approximation of the method.
Key words:
molecular distribution functions, excitation of internal degrees of freedom, chemical reactions, kinetic and macroscopic equations, additive collision invariants, quasi-steady states of gas, extensive and intensive macroscopic parameters, entropy, adiabatic curve, barotropy, sound velocity.
Received: 23.11.2009
Citation:
M. A. Rydalevskaya, “A modified Chapman–Enskog method in terms of intensive parameters”, Zh. Vychisl. Mat. Mat. Fiz., 50:7 (2010), 1303–1314; Comput. Math. Math. Phys., 50:7 (2010), 1238–1248
Linking options:
https://www.mathnet.ru/eng/zvmmf4910 https://www.mathnet.ru/eng/zvmmf/v50/i7/p1303
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Abstract page: | 249 | Full-text PDF : | 93 | References: | 38 | First page: | 13 |
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