Sound propagation in binary gas mixtures from a kinetic model of the Boltzmann equation

2004 ◽  
Vol 332 ◽  
pp. 29-46 ◽  
Author(s):  
A.S Fernandes ◽  
W Marques
Keyword(s):  
Boltzmann Equation ◽  
Kinetic Model ◽  
Sound Propagation ◽  
Gas Mixtures ◽  
The Boltzmann Equation

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.

Bifurcation on boundary data for linear broadwell model with conservative boundary condition

2014 ◽  
Vol 11 (03) ◽  
pp. 603-619 ◽  
Author(s):  
Shijin Deng ◽  
Weike Wang ◽  
Shih-Hsien Yu
Keyword(s):  
Boundary Condition ◽  
Boltzmann Equation ◽  
Kinetic Model ◽  
Boundary Data ◽  
Diffuse Boundary ◽  
The Boltzmann Equation ◽  
Simple Kinetic Model ◽  
Physical Boundary

We study a simple kinetic model with a conservative boundary condition which resembles the Maxwell diffuse boundary condition for the Boltzmann equation. We use a streamlined approach to construct the global pointwise structure of the full boundary data from the imposed boundary condition. Our estimates are strong enough to conclude the bifurcation in terms of the coefficients of the Broadwell model and the speed of the physical boundary.

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
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