Illustration of Homogeneous Reactor Model Formulation

Formation of a reacting environment (E-3) is governed by the transport equations for volume fraction of environments (p )  

Mixing parameter C = 1 for the fully-developed turbulent flow. 

The species mixing, heat transfer and reactions in E-3 are governed by the transport equations for the volume-weighted species concentration and temperature in 

Repeated roman indices imply summation, and a denotes the species or temperature in E-3. The Navier-Stokes equations, the standard k-e equations, describe the turbulence physics, and compute the mean velocity / along with the turbulent parameters (kinetic energy k, dissipation rate e, diffusivity F7-). The micromixing functions G (p) and M (p, sP ) are defined in terms of the probability fluxes r for environment n, and the chemical source terms S ((iiP ) are estimated on the basis of the species rate expressions. This formulation is used to investigate the turbulence-chemistry interactions in the example in Section 9.10.4.1. 

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