Reaction progress variable definition

By definition of the reaction-progress variables, Y2 and T22 are zero for the inlet streams, and nonnegative inside the reactor due to the chemical source term. Once the CFD model has been solved, the reactant concentrations in each environment n are found from... 

By definition, the reaction-progress variable is bounded below by zero. Likewise, we have seen in Section 5.5 that a single reaction-progress variable is bounded above by a... 

Nin, Y.-S., Vervisch, L., Tao, P.D. An optimization-based approach to detailed chemistry tabnlatimi antomated progress variable definition. Combust. Flame 160, 776-785 (2013) Octme, R., Astaiita, G. Lumping nonlinear kinetics in porous catalysts diffusion-reaction lumping strategy. AIChE J. 39. 288-293 (1993)... 

This equation is valid for all species Ah a fact that is a consequence of the law of definite proportions. The molar extent of reaction is a time-dependent extensive variable that is measured in moles. It is a useful measure of the progress of the reaction because it is not tied to any particular species A. Changes in the mole numbers of two species j and k can be related to one another by eliminating between two expressions that may be derived from equation 1.1.4. 

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