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Theory and exact solutions for problems of a binary gas slip along a plane surface. (Russian) Zbl 0734.76062

The classical Case’s method is applied to obtain exact analytical expressions for the second order slip coefficients in the case of binary gas flow along a plane surface. The authors consider the isothermal, thermal, diffusive, Burnett’s thermal and Burnett’s diffusive slip problems. The starting problem is reduced to the investigation of the solvability conditions for the nonhomogeneous Riemann boundary problem, which enables by using the one-dimensional complex analysis to obtain the spectral decomposition for the solution.
Reviewer: O.Titow (Berlin)

MSC:

76P05 Rarefied gas flows, Boltzmann equation in fluid mechanics
76T99 Multiphase and multicomponent flows
82B40 Kinetic theory of gases in equilibrium statistical mechanics
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