scholarly journals A fast spectral method for the Boltzmann equation for monatomic gas mixtures

2015 ◽  
Vol 298 ◽  
pp. 602-621 ◽  
Author(s):  
Lei Wu ◽  
Jun Zhang ◽  
Jason M. Reese ◽  
Yonghao Zhang
Keyword(s):  
Boltzmann Equation ◽  
Spectral Method ◽  
Gas Mixtures ◽  
The Boltzmann Equation ◽  
Monatomic Gas

scholarly journals Mobility of Ions in Gas Mixtures

1973 ◽  
Vol 26 (2) ◽  
pp. 203 ◽  
Author(s):  
RE Robson
Keyword(s):  
Boltzmann Equation ◽  
Gas Mixtures ◽  
Interaction Potentials ◽  
The Boltzmann Equation ◽  
Mobility Of Ions ◽  
Helium Neon

A formula for the mobility of ions in a mixture of neutral gases is obtained as a generalization of an expression previously derived from the Boltzmann equation for ions in a pure gas (Kumar aitd Robson 1973). It is shown that Blanc's law holds only for very specialized situations. Using interaction potentials obtained in a previous work (Robson and Kumar 1973), the mobilities of K + ions in helium-neon mixtures have been calculated and the deviations from Blanc's law are discussed.

On the solution of the Boltzmann equation for an unsteady cylindrically symmetric expansion of a monatomic gas into a vacuum

1968 ◽  
Vol 31 (4) ◽  
pp. 723-736 ◽  
Author(s):  
N. C. Freeman ◽  
R. E. Grundy
Keyword(s):  
Boltzmann Equation ◽  
Equilibrium Solution ◽  
Large Time ◽  
Moment Equations ◽  
Particle Path ◽  
Cylindrically Symmetric ◽  
The Boltzmann Equation ◽  
Expansion Procedure ◽  
Spherical Expansion ◽  
Monatomic Gas

The problem of an unsteady axisymmetric expansion of a monatomic gas into a vacuum is considered in the limit of small source Knudsen number. It is shown that a solution of the Boltzmann equation for Maxwell molecules valid for large time can be constructed, which matches with the known equilibrium solution for an inviscid expansion of a fixed mass of gas into a vacuum provided that the region near the zero density front is excluded. This solution is formally the same as that obtained for the similar problem of steady spherical expansion into a vacuum—the variations along each particle path of the unsteady flow being the same as that in the steady flow.Near the front, the expansion procedure breaks down and the equations require a different scaling. A modified form of the Boltzmann equation is obtained which leads to a corresponding set of moment equations. Unfortunately, the set of moment equations is no longer closed and no essential simplification has been made.

scholarly journals Cross Sections for Electron?Carbon Monoxide Collisions in the Range 1?4 eV

1983 ◽  
Vol 36 (4) ◽  
pp. 473 ◽  
Author(s):  
GN Haddad ◽  
HB Milloy
Keyword(s):  
Boltzmann Equation ◽  
Energy Range ◽  
Drift Velocity ◽  
Cross Sections ◽  
Velocity Distribution Function ◽  
Gas Mixtures ◽  
Transport Parameter ◽  
Velocity Data ◽  
The Boltzmann Equation ◽  
Term Approximation

The scattering of electrons from CO molecules has been studied over the energy range from 1 to 4 eV by analysing drift velocity data for pure CO and CO-inert gas mixtures at 294 K. The validity of using the so-called 'two term approximation' for the velocity distribution function in the solution of the Boltzmann equation to analyse drift velocity data for the pure gas (and thus also for the gas mixtures) has been established. The momentum transfer cross section for CO has been determined in the energy range 1-4 eV, and the measurements of the vibrational cross sections by Ehrhardt et al. (1968) have been renormalized. By using a solution of the Boltzmann equation which avoids the two term approximation, these cross sections have been shown to be consistent with previous measurement.s of the transport parameter D 1.1 fl in pure CO.

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