Thermodynamic derivation of the equilibrium distribution functions of statistical mechanics

1979 ◽  
Vol 47 (6) ◽  
pp. 491-492
Author(s):  
Beth Stoeckly
Keyword(s):  
Statistical Mechanics ◽  
Equilibrium Distribution ◽  
Distribution Functions ◽  
Thermodynamic Derivation

The velocity distribution function within a shock wave

1967 ◽  
Vol 30 (3) ◽  
pp. 479-487 ◽  
Author(s):  
G. A. Bird
Keyword(s):  
Shock Wave ◽  
Distribution Function ◽  
Velocity Distribution ◽  
Numerical Experiments ◽  
Equilibrium Distribution ◽  
Velocity Distribution Function ◽  
Distribution Functions ◽  
Rigid Sphere ◽  
Lateral Velocity ◽  
Shock Profile

The structure of normal shock waves in a gas composed of rigid sphere molecules is investigated by numerical experiments with a simulated gas on a digital computer. The non-equilibrium between the temperatures based on the longitudinal and lateral velocity components is studied and the results compared with the theory of Yen (1966). Details of the velocity distribution function are presented for a shock of Mach number 10. The distribution functions for both the longitudinal and lateral velocity components are plotted for a number of locations in the shock profile and are compared with the equilibrium distribution.

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