Solution of the BGK model kinetic equation for very hard particle interaction

1984 ◽  
Vol 37 (1-2) ◽  
pp. 123-149 ◽  
Author(s):  
J. J. Brey ◽  
A. Santos
Keyword(s):  
Kinetic Equation ◽  
Particle Interaction ◽  
Model Kinetic Equation ◽  
Hard Particle ◽  
Bgk Model

scholarly journals Nonlinear Diffusion of Ions in a Gas. II. Diffusion in Finite Enclosures

1976 ◽  
Vol 29 (3) ◽  
pp. 171 ◽  
Author(s):  
RE Robson
Keyword(s):  
Kinetic Equation ◽  
Nonlinear Diffusion ◽  
Model Kinetic Equation ◽  
Bgk Model ◽  
And Diffusion

The connection between nonlinear diffusion and diffusion cooling of ions in a bounded gas is examined using the BGK model kinetic equation.

scholarly journals Transport Coefficients and Velocity Distribution Function of an Ion Swarm in an AC Electric Field Obtained from the BGK Kinetic Equation

1994 ◽  
Vol 47 (3) ◽  
pp. 305 ◽  
Author(s):  
RE Robson ◽  
T Makabe
Keyword(s):  
Distribution Function ◽  
Steady State ◽  
Kinetic Equation ◽  
Velocity Distribution ◽  
Transport Coefficients ◽  
Velocity Distribution Function ◽  
Model Kinetic Equation ◽  
Bgk Model ◽  
Ac Electric Field ◽  
Periodic Steady State

The transition to a periodic steady state for an ion swarm in a gas is investigated using the BGK model kinetic equation. Exact expressions for transport coefficients and the velocity distribution function are obtained and the latter is compared with experimental observations of ions in their parerit gases undergoing predominantly charge-transfer collisions.

scholarly journals Numerical simulation of pulsed planar evaporation into background gas based on direct Monte Carlo simulation and solution of the BGK model kinetic equation

2021 ◽  
Vol 2119 (1) ◽  
pp. 012116
Author(s):  
A A Morozov ◽  
V A Titarev
Keyword(s):  
Monte Carlo ◽  
Kinetic Equation ◽  
Numerical Study ◽  
Direct Simulation Monte Carlo ◽  
Direct Monte Carlo Simulation ◽  
Nanosecond Laser ◽  
Model Kinetic Equation ◽  
Bgk Model ◽  
Density Peak ◽  
Background Gas

Abstract A numerical study of the planar gas expansion under pulsed evaporation into the background gas is carried out. The chosen conditions are typical for nanosecond laser deposition of thin films and nanostructure synthesis, with the saturated gas pressure at the surface of 5.4 MPa and the background pressure of 50 and 500 Pa. The problem is solved based on the direct simulation Monte Carlo method and direct numerical solution of the BGK model kinetic equation. A generally good agreement was obtained for all computed macroscopic quantities, with the exception of the higher density peak in the compressed layer and a wider shock front in the background gas for the BGK model.

An investigation of tool and hard particle interaction in nanoscale cutting of copper beryllium

2018 ◽  
Vol 145 ◽  
pp. 208-223 ◽  
Author(s):  
A. Sharma ◽  
D. Datta ◽  
R. Balasubramaniam
Keyword(s):  
Particle Interaction ◽  
Hard Particle ◽  
Nanoscale Cutting ◽  
Copper Beryllium

Reply to “Comment on ‘Model kinetic equation for low-density granular flow’ ”

1998 ◽  
Vol 57 (5) ◽  
pp. 6212-6213 ◽  
Author(s):  
J. J. Brey ◽  
F. Moreno ◽  
James W. Dufty
Keyword(s):  
Kinetic Equation ◽  
Granular Flow ◽  
Low Density ◽  
Model Kinetic Equation

Perturbative solution of the BGK equation for very hard particle interaction

1988 ◽  
Vol 63 (3) ◽  
pp. 517-521 ◽  
Author(s):  
V. Garzó
Keyword(s):  
Particle Interaction ◽  
Hard Particle ◽  
Bgk Equation ◽  
Perturbative Solution

Diatomic gas—thermal radiation interaction A model equation for the internal fluid

1972 ◽  
Vol 7 (2) ◽  
pp. 235-246 ◽  
Author(s):  
Warren F. Phillips ◽  
Vedat S. Arpaci
Keyword(s):  
Kinetic Equation ◽  
Thermal Radiation ◽  
Model Equation ◽  
Diatomic Molecules ◽  
Collision Term ◽  
Model Kinetic Equation ◽  
Photon Interaction ◽  
Internal Fluid ◽  
Proposed Model ◽  
Alternative Approach

A model kinetic equation for the internal fluid of diatomic molecules which interacts with thermal radiation is proposed. The cross-collision term developed for the molecule-photon interaction has the property that molecules and the sum of internal and photon energies are conserved. An alternative approach to this term based on the product of two BGKW collision operators yields the same result. It is also shown that the proposed model leads to an H-theorem.

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