Abstract
Our objective of this investigation is to mainly focus on the behavior of a plasma gas that is bounded by a moving rigid flat plate; its motion is damping with time. The effects of an external magnetic field on the electrons collected with each other, with positive ions, and with neutral atoms in the plasma fluid are studied. The BGK type of the Boltzmann kinetic equation is used to study the gas dynamics various regimes with Maxwellian velocity distribution functions. An analytical solution of the model equations for the unsteady flow was given using the moment and the traveling wave methods. The manner of the mean velocity of plasmas is illustrated, which is compatible with the variation of the shear stress, viscosity coefficient, and the initial and boundary conditions. Besides, the thermodynamic prediction is investigated by applying irreversible thermodynamic principles and extended Gibbs formula. Finally, qualitative agreements with previous related papers were demonstrated using 3-dimensional graphics for calculating the variables. The significance of this study is due to its vast applications in numerous fields such as in physics, engineering, commercial, and industrial applications.
Highlights
From basic research in plasma science to manufacturing, rapid developments in that field have often been preceded by revolutions in new technologies, such as lowtemperature plasmas, or novel applications, such as plasma medicine, plasma biological systems, and microelectronics [1]
Miller et al [2] have used the nonequilibrium plasma to induce immunogenic cell death in tumors as a therapeutic way for diseases of body systems exposed to the plasma
Several papers were treated with Boltzmann equation and its applications in many physical severe situations such as thermal field and microgas sensor [16, 17], irreversible thermodynamics and plasma with kinetic regime [18,19,20,21,22], oscillating flow [23, 24], thermal radiation [25,26,27], plasma [28], ultrarelativistic heavy-ion collisions [29], photon gas [30], granular fluids [31], and electron energy distribution function [32, 33]
Summary
From basic research in plasma science to manufacturing, rapid developments in that field have often been preceded by revolutions in new technologies, such as lowtemperature plasmas, or novel applications, such as plasma medicine, plasma biological systems, and microelectronics [1]. Several papers were treated with Boltzmann equation and its applications in many physical severe situations such as thermal field and microgas sensor [16, 17], irreversible thermodynamics and plasma with kinetic regime [18,19,20,21,22], oscillating flow [23, 24], thermal radiation [25,26,27], plasma [28], ultrarelativistic heavy-ion collisions [29], photon gas [30], granular fluids [31], and electron energy distribution function [32, 33]. Abourabia and Tolba [37] investigated the behavior of a rarefied electron gas generated from noble gases using the method of moments in case of a discontinuous distribution function They obtained an approximate solution for the shear stress and the mean flow velocity.
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