On Kinetic and Irreversible Thermodynamic Treatments of a Rarefied Gaseous Plasma Bounded by a Moving Plate.

Abstract The peculiarities of the Rayleigh problem (RP) governing equations of a rarefied gaseous plasma (RGP) are analyzed. They were proven to conform to the entropic performance for the RGP system using the moment method, separation of variables, associated with traveling-wave techniques in irreversible thermodynamics (IT) approach. Maxwell’s equations and the Boltzmann equation (BE) of the Bhatnagar- Gross- Krook (BGK) type were solved. The BE considerable advantage is that it allows us to analyze the depth performance of the equilibrium electrons' velocity distribution function (EVDF) and the perturbed EVDF and their implementation to determine how far the system is from the equilibrium state (ES). As a result, the contrast between the equilibrium EVDF and the perturbed EVDF was conceptually elucidated at various periods. This significant benefit enables us to consider our model's non-equilibrium IT properties. For this purpose, the derived EVDF should be employed in entropy, production, and other critical thermodynamic variables. After analyzing the results, we discovered that H-theorem, thermodynamic principles, and Le Chatelier’s law were consistent with our model. The Gibbs rule was used to express how the various influences of the forces acting on the system's internal energy modification (IEM) are expressed. The findings showed that the proposed model could accurately capture the performance. The suggested type could accurately predict RGP helium and argon gases performance in the upper atmosphere's ionized belts. 3D-Graphics representing the physical parameters were generated using analysis of variance calculations, and the results are thoroughly presented. The importance of this research stemmed from its broad array of utilization in micro-electro-mechanical systems (MEMS), physics, electrical engineering, and nano-electro-mechanical systems (NEMS) technologies in a variety of commercial and industrial utilization.