Collisional Rate of Change Derivate Flux and Source Terms

1 Collisional Rate of Change Derivate Flux and Source Terms 

In this section the derivation of the collision operators for dilute and dense suspensions are examined. Introductory the established formulas for dilute and dense gases consisting of elastic particles are outlined. Thereafter the kinetic theory of inelastic particles are considered. 

1 Dilute and Dense Gas Collision Densities and Collision Operators 

This relation is consistent with (2.159), after dividing the latter relation by dt, and denotes the basis for the dense gas extensions made by Enskog as explained in Sect. 2.12. 

To generalize the formulation of the collision frequency a collisional pair distribution function Cl, F2, C2, t) is sometimes introduced, following a slightly 

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