Gaseous Plasma's Time-behavior on a Plate Motion Damping with Time Influenced by a Non-Uniform Non-Stationary Electric Field.

Abstract The research subject is the kinetic and irreversible thermodynamic behavior of gaseous plasma (GP) flow limited by a moving rigid flat plate (RFP). The effects of an unsteady nonlinear applied electric field (NLAEF) were examined on the GP. To explore gas dynamics with the electron velocity distribution function (EVDF), researchers have concentrated on the Bhatnagar-Gross-Krook (BGK)–model of the kinetic Boltzmann equation (BE). An analytical solution was found using the moment method (MM), traveling wave, and shooting method. As illustrated, mean velocity, shear stress, and electromagnetic fields all founded play essential roles. An interesting comparison between the non-equilibrium EVDF and the equilibrium EVDF is made carefully with 3-Dimensional graphics in various time values. We found that the system goes to an equilibrium state (ES) with time compatible with Le Chatelier's principles. The relations between the various macroscopic variables of the GP are studied. The irreversible non-equilibrium thermodynamics (NT) properties of the system are presented. Entropy and entropy generation are derived, and their behavior is investigated. The essence of entropy, the degree of internal chaos of a system, is gradually described with the advent of statistical physics and information theory. Cybernetics, probability theory, life science, and astrophysics are just a few of the domains where it is functional. According to our findings, NLAEF has a strong effect on GP. Compared to the effect of the nonlinear applied magnetic field (NLAMF), it causes it to vary and disturb substantially. To save the ES for a GP, we should employ NLAMF rather than NLAEF in the GP management procedure. The importance of this research stems from its wide applications in domains such as physics, electrical engineering, micro-electro-mechanical systems (MEMS), and nano-electro-mechanical systems (NEMS) technologies as industrial and commercial sectors.