Binary Particle Maxwell-Enskog Transport Equation and Balance Laws

1 Binary Particle Maxwell-Enskog Transport Equation and Balance Laws 

Based on this density function, the number of particles per unit volume,(r, t), can be calculated by [25, 89, 97]  

The particle number average of a generalized single particle property V i it) is defined as [89]  

The mass-weighted average of the generalized property is introduced as [89, 97]  

The averages defined in (4.292) and (4.293) may be employed to ttansform the microscopic properties of the discrete single particles, (0 into the macroscopic variables V i and (V i) characterizing the continuous granular fluids. 

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