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Analytical solutions of the Rayleigh flow problem for a rarefied gas of a nonhomogeneous system of charged particles. (English) Zbl 0678.76080

Summary: A two-stream Maxwellian distribution function with two unknown parameters corresponding to the mean velocity and the shear stress is used to obtain an approximate analytic solution of the Rayleigh flow problem for a rarefied gas of a nonhomogeneous system of charged particles. For small magnetic field, solutions are presented for the four moments equations and the Maxwell’s equations. The dynamical behaviour of the electron and ion gas is examined.

MSC:

76P05 Rarefied gas flows, Boltzmann equation in fluid mechanics
82B40 Kinetic theory of gases in equilibrium statistical mechanics
76X05 Ionized gas flow in electromagnetic fields; plasmic flow
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