Analytical solutions of the Rayleigh flow problem for a highly rarefied gas of a homogeneous system of charged particles

Astronomy and Astrophysics – Astrophysics

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Kinetic Theory, Magnetohydrodynamic Flow, Rarefied Gas Dynamics, Rayleigh Equations, Boltzmann Transport Equation, Boundary Value Problems, Charged Particles, Laplace Transformation

Scientific paper

The Rayleigh flow problem for a highly rarefied gas of a homogeneous system of charged particles is investigated in the framework of kinetic theory of gases. The moments method with two-sided distribution function is used to solve the adopted BGK kinetic model. Approximate analytic solutions are obtained by a resort to Laplace's transform and the small parameter method. The dynamical and electromagnetic behaviour of the gas is examined.

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