Abstract
The exact solution of the unsteady Rayleigh flow problem of a rarefied charged gas bounded by an oscillating plate has been made. For this purpose, we use the traveling wave solution method. The kinetic and the irreversible thermodynamic properties of the charged gas are presented from the molecular viewpoint. Our study is based on the solution of the Bhatnager-Gross-Krook (BGK) model of the Boltzmann kinetic equation, with the precision value of the electron-electron collision frequency. The BGK model equation coupled with Maxwell's equations, for electron gas near an oscillating rigid plane, are solved. The distinction and comparisons between the perturbed and the equilibrium velocity distribution functions are illustrated. The ratios between the different contributions of the internal energy changes are predicted via the extended Gibbs equation for both diamagnetic and paramagnetic plasmas. The results are applied to a typical model of laboratory argon plasma.