Chemical source term volume-averaged

The CSTR model can be derived from the fundamental scalar transport equation (1.28) by integrating the spatial variable over the entire reactor volume. This process results in an integral for the volume-average chemical source term of the form ... 

The component balance equation is expressed with mass fractions of the individual species, cOt and the density of the reaction mixture, Pg. In Eq. (5.1) Ft is the total volumetric flow rate, = zjL the dimensionless reactor length. The first term on the right-hand side corresponds to sources by chemical reactions the second term quantifies the local mass fluxes, jj(< ), entering through the membrane. In the FBR model the flux term is omitted. The catalyst density is denoted by p t and e is the averaged porosity of the catalyst bed. Vr is the reactor volume. Mi the molecular mass of species i, the surface area of the membrane wall. The reaction rate rj represents the jth rate of the overall Nr reactions taking place. 

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