Prediction of Single Point Concentration Statistics in a Chemically-Reactive, Turbulent, Grid Flow

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Abstract
A model equation is constructed to describe the evolution of concentration statistics downstream of a uniform grid at which two reacting species are introduced, one on each half of the grid. The two species undergo an irreversible reaction to produce a product. It is assumed that the reaction does not alter the density field of the carrying fluid sufficiently to induce buoyancy modification of the turbulence. The model equation is solved numerically for specific initial conditions and reaction kinetics, including the zero-reaction rate case. The latter problem reduces to an analogy with the half-heated grid flow for which there is adequate experimental data. Model predictions are generated for reactive flow cases for which no experimental data exist