scholarly journals Shock structure analysis in chemically reacting gas mixtures by a relaxation-time kinetic model

2008 ◽  
Vol 20 (11) ◽  
pp. 117103 ◽  
Author(s):  
M. Groppi ◽  
K. Aoki ◽  
G. Spiga ◽  
V. Tritsch
Keyword(s):  
Relaxation Time ◽  
Kinetic Model ◽  
Structure Analysis ◽  
Gas Mixtures ◽  
Shock Structure ◽  
Chemically Reacting

A multiple relaxation time extension of the constant speed kinetic model

2016 ◽  
Vol 27 (08) ◽  
pp. 1650088 ◽  
Author(s):  
Abed Zadehgol ◽  
Mahmud Ashrafizaadeh
Keyword(s):  
Relaxation Time ◽  
Kinetic Model ◽  
Reynolds Numbers ◽  
Constant Speed ◽  
Benchmark Problems ◽  
Multiple Relaxation Time ◽  
Time Extension ◽  
High Reynolds ◽  
The Stability ◽  
Very High

In this work, a multiple relaxation time (MRT) extension of the recently introduced constant speed kinetic model (CSKM) is proposed. The CSKM, which is an entropic kinetic model and based on unconventional entropies of Burg and Tssalis, was introduced in [A. Zadehgol and M. Ashrafizaadeh, J. Comput. Phys. 274, 803 (2014)]; [A. Zadehgol Phys. Rev. E 91, 063311 (2015)] as an extension of the model of Boghosian et al. [Phys. Rev. E 68, 025103 (2003)] in the limit of fixed speed continuous velocities. The present extension improves the stability of the previous models at very high Reynolds numbers, while allowing for a more convenient orthogonal lattice. The model is verified by solving the following benchmark problems: (i) the lid driven square cavity and (ii) the Kelvin–Helmholtz instability of thin shear layers in a doubly periodic square domain.

Kinetic Model for Binary Gas Mixtures

1965 ◽  
Vol 8 (3) ◽  
pp. 418 ◽  
Author(s):  
Bernard B. Hamel
Keyword(s):  
Kinetic Model ◽  
Gas Mixtures

H theorem and kinetic equations for a reacting gas

1973 ◽  
Vol 10 (3) ◽  
pp. 425-431
Author(s):  
Ta-Ming Fang
Keyword(s):  
Kinetic Model ◽  
Chemical Reactions ◽  
Inelastic Collision ◽  
Kinetic Equations ◽  
Rate Equations ◽  
H Theorem ◽  
Chemically Reacting ◽  
Model Equations

A previously developed set of kinetic model equations for a chemically-reacting gas is modified. By examining closely the H theorem, a new set of constraints is obtained. These conditions are then used to determine the inelastic collision parameters proposed in the model. The kinetic equations so obtained are able to produce exactly the same rate equations as prescribed by the actual chemical reactions.

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