Model Kinetic Equation

2011 ◽  
Keyword(s):  
Kinetic Equation ◽  
Model Kinetic Equation

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

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.

ASYMPTOTIC ANALYSIS OF A MODEL KINETIC EQUATION

1995 ◽  
Vol 05 (07) ◽  
pp. 867-885 ◽  
Author(s):  
JANUSZ R. MIKA ◽  
JACEK BANASIAK
Keyword(s):  
Exact Solution ◽  
Asymptotic Expansion ◽  
Kinetic Equation ◽  
Simple Model ◽  
Asymptotic Analysis ◽  
Small Parameter ◽  
Singularly Perturbed ◽  
Model Kinetic Equation ◽  
Linear Kinetic

For a simple model of a linear kinetic equation the exact solution is expanded in terms of a small parameter whose presence makes the equation, singularly perturbed. Various asymptotic expansion methods are analyzed and it is shown that the compressed method, which is related to the Chapman-Enskog asymptotic procedure, is the most accurate. This holds when the technique of time rescaling is applied to overcome the difficulties with the application of the standard asymptotic procedure.

Moment series expansions for a model kinetic equation

1992 ◽  
Vol 4 (9) ◽  
pp. 2769-2784 ◽  
Author(s):  
D. C. Stevens ◽  
H. Weitzner ◽  
D. Pfirsch
Keyword(s):  
Kinetic Equation ◽  
Series Expansions ◽  
Model Kinetic Equation

MODEL KINETIC EQUATION FOR THE DISTRIBUTION OF DISCRETIZED INTERNAL ENERGY

1994 ◽  
Vol 04 (05) ◽  
pp. 669-675 ◽  
Author(s):  
K. NANBU
Keyword(s):  
Kinetic Equation ◽  
Kinetic Theory ◽  
Internal Energy ◽  
Boltzmann Distribution ◽  
Model Kinetic Equation ◽  
Discrete Velocity ◽  
Second Moment ◽  
Exponential Relaxation ◽  
H Theorem

Kinetic equation for discretized internal energy is obtained by using the idea underlying the discrete-velocity kinetic theory. The equation satisfies the Boltzmann H-theorem. The solution of this equation in equilibrium is the Boltzmann distribution. The second moment of distribution shows an exponential relaxation.

Model kinetic equation for polyatomic gases

2017 ◽  
Vol 57 (11) ◽  
pp. 1843-1855 ◽  
Author(s):  
Yu. A. Nikitchenko
Keyword(s):  
Kinetic Equation ◽  
Model Kinetic Equation ◽  
Polyatomic Gases

Stochastic Solution Method of the Model Kinetic Equation for Diatomic Gas

1988 ◽  
Vol 57 (10) ◽  
pp. 3371-3375 ◽  
Author(s):  
Kenichi Nanbu ◽  
Saburo Igarashi ◽  
Yasuo Watanabe
Keyword(s):  
Kinetic Equation ◽  
Solution Method ◽  
Model Kinetic Equation ◽  
Diatomic Gas ◽  
Stochastic Solution
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