Kinetic Theory of Loaded Spheres. IV. Thermal Diffusion in a Dilute‐Gas Mixture of D2and HT

1967 ◽  
Vol 47 (8) ◽  
pp. 2621-2630 ◽  
Author(s):  
Stanley I. Sandler ◽  
John S. Dahler
Keyword(s):  
Kinetic Theory ◽  
Thermal Diffusion ◽  
Gas Mixture ◽  
Dilute Gas

The stability of a layer of binary gas mixture heated below

1973 ◽  
Vol 57 (1) ◽  
pp. 103-110 ◽  
Author(s):  
M. L. Lawson ◽  
Wen-Jei Yang
Keyword(s):  
Thermal Diffusion ◽  
Soret Effect ◽  
Weight Ratio ◽  
Gas Mixture ◽  
Vertical Temperature ◽  
Dilute Gas ◽  
Binary Gas Mixture ◽  
Transfer Equations ◽  
The Stability ◽  
Thermal Diffusion Ratio

This paper investigates the Bénard problem in a binary mixture of dilute gases in which an imposed vertical temperature gradient induces a concentration gradient owing to the thermal diffusion effect. The transfer equations are derived by first-order perturbation theory which leads to instability criteria. Numerical results indicate that instability will set in only as stationary convection. This is distinctly different from the cases of liquids and concentrated gases, in which the thermal diffusion (or Soret) effect gives rise to oscillatory instability. It is disclosed in the study that the destabilization of the dilute gas-mixture layer is enhanced by an increase in the thermal diffusion ratio and/or the molecular weight ratio of the species.

Boltzmann’s Kinetic Theory

2018 ◽  
Author(s):  
Sauro Succi
Keyword(s):  
Boltzmann Equation ◽  
Kinetic Theory ◽  
Statistical Physics ◽  
Neutron Transport ◽  
Condensed Matter ◽  
Relativistic Fluids ◽  
Classical Statistical Mechanics ◽  
Dilute Gas ◽  
Equilibrium Processes ◽  
The Boltzmann Equation

Kinetic theory is the branch of statistical physics dealing with the dynamics of non-equilibrium processes and their relaxation to thermodynamic equilibrium. Established by Ludwig Boltzmann (1844–1906) in 1872, his eponymous equation stands as its mathematical cornerstone. Originally developed in the framework of dilute gas systems, the Boltzmann equation has spread its wings across many areas of modern statistical physics, including electron transport in semiconductors, neutron transport, quantum-relativistic fluids in condensed matter and even subnuclear plasmas. In this Chapter, a basic introduction to the Boltzmann equation in the context of classical statistical mechanics shall be provided.

scholarly journals Separation of Gas Mixture by Packed Thermal Diffusion Column

1975 ◽  
Vol 1 (1) ◽  
pp. 20-26
Author(s):  
Takao Kokugan ◽  
Masaru Shimizu
Keyword(s):  
Thermal Diffusion ◽  
Gas Mixture ◽  
Diffusion Column

scholarly journals Thermal Diffusion Factor for Diatomic Gas Mixture in Multicomponent System

2000 ◽  
Vol 37 (4) ◽  
pp. 397-404 ◽  
Author(s):  
Hiroshi YAMAKAWA ◽  
Noboru KOBAYASHI ◽  
Youichi ENOKIDA ◽  
Ichiro YAMAMOTO
Keyword(s):  
Thermal Diffusion ◽  
Multicomponent System ◽  
Gas Mixture ◽  
Diffusion Factor ◽  
Thermal Diffusion Factor ◽  
Diatomic Gas

SIMPLER FORMULAE FOR THE THERMAL DIFFUSION FACTOR OF BINARY GAS MIXTURES

1962 ◽  
Vol 40 (11) ◽  
pp. 1608-1613 ◽  
Author(s):  
S. C. Saxena ◽  
S. M. Dave ◽  
P. A. Pardeshi
Keyword(s):  
Molecular Weight ◽  
Thermal Diffusion ◽  
Weight Ratio ◽  
Numerical Calculations ◽  
Gas Mixture ◽  
View Point ◽  
Diffusion Factor ◽  
Thermal Diffusion Factor ◽  
Computational Labor ◽  
Binary Gas Mixture

Simpler formulae for the second approximation to the thermal diffusion factor of a binary gas mixture are derived according to both the approximation procedures of Chapman and Cowling, and Kihara. These formulae are much simpler than the rigorous theoretical formulae from the view point of computational labor. These new formulae are derived by expanding the rigorous expressions in powers of the molecular weight ratio, M, and deleting all those terms which contain explicitly the power of M higher than two. The accuracies of these simpler formulae are demonstrated by numerical calculations on gas systems as a function of both temperature as well as composition.

scholarly journals SEPARATION OF GAS MIXTURE BY MOVING-WALLS THERMAL DIFFUSION COLUMN

1976 ◽  
Vol 9 (5) ◽  
pp. 411-413
Author(s):  
TAKAO KOKUGAN ◽  
HITOSHI YOSHIDA ◽  
MASARU SHIMIZU
Keyword(s):  
Thermal Diffusion ◽  
Gas Mixture ◽  
Diffusion Column
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