Extending the Kinetic Theory of Granular Flow to Reactive Systems

2 Extending the Kinetic Theory of Granular Flow to Reactive Systems 

The success in deriving the Maxwellian type macroscopic transport equations and in obtaining appropriate source and flux closures based on the kinetic theory of granular flow relies heavily on the knowledge about the distribution function involved. In principle, for reactive systems the single particle distribution function should satisfy 

In this framework the mass weighted average of a particle property is defined by  

The local bulk density of the dispersed phase is defined as  

Following the standard procedure, a Maxwellian type macroscopic transport equation for the granular fluid properties can be obtained by multiplying the Boltzmann type equation (4.187) by m-ij) and integrate over the total phase space performing 

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