Generalized Boltzmann Equation for Molecules with Internal States

1971 ◽  
Vol 55 (4) ◽  
pp. 1555-1566 ◽  
Author(s):  
R. F. Snider ◽  
B. C. Sanctuary
Keyword(s):  
Boltzmann Equation ◽  
Internal States ◽  
Generalized Boltzmann Equation

The generalized Boltzmann equation, generalized hydrodynamic equations and their applications

1994 ◽  
Vol 349 (1691) ◽  
pp. 417-443 ◽  
Keyword(s):  
Shock Wave ◽  
Wave Propagation ◽  
Distribution Function ◽  
Boltzmann Equation ◽  
Wave Structure ◽  
Hydrodynamic Equations ◽  
Collision Time ◽  
Shock Wave Structure ◽  
Generalized Boltzmann Equation ◽  
Kolmogorov Scale

The generalization of the Boltzmann equation is realized by taking into account the alteration of the distribution function on scales of the collision time order. The generalized hydrodynamic equations are derived on the basis of the generalized Boltzmann equation. The strict theory of turbulence on the Kolmogorov scale is developed. Examples and issues are given for the shock wave structure and sound wave propagation calculations.

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