Open AccessNumerical Study of Grain Charging Kinetics on the Basis of BGK Kinetic Equation
Author(s) -
Igor Semenov,
А. G. Zagorodny,
I Krivtsun
Publication year - 2022
Publication title -
ukrainian journal of physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.213
H-Index - 17
eISSN - 2071-0194
pISSN - 2071-0186
DOI - 10.15407/ujpe56.2.138
Subject(s) - knudsen number , kinetic energy , basis (linear algebra) , physics , boltzmann equation , kinetic theory , collision , particle (ecology) , ionization , plasma , coulomb , numerical analysis , electron , coulomb collision , ion , classical mechanics , mechanics , mathematics , thermodynamics , mathematical analysis , quantum mechanics , geometry , oceanography , computer security , computer science , geology
An investigation of charging a spherical particle in partially ionized nonisothermal plasma is carried out on the basis of the numerical solution of the BGK (Bhatnagar–Gross–Krook) model kinetic equation. Stationary values of the particle charge and the electron and ion currents are calculated for various collisional regimes. It is verified that, for the strongly collisional regime, the effective potential has a Coulomb form at large distance from the particle surface. A new BGK-type model for binary gas mixtures is proposed. It is shown that this model satisfies all the basic properties of Boltzmann collision integrals including the correct exchange coefficients. A high-order implicit numerical method for solving the kinetic equations is developed. The method is conservative with respect to the collision integrals for arbitrary values of the Knudsen number.