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Algebraic closure models with spatially nonlocal operators that areassociated with both unresolved advective transport and nonlinear reactionterms in a Reynolds-averaged Navier-Stokes context are presented in this work.In particular, a system of two species subject to binary reaction and transportby advection and diffusion are examined by expanding upon analysis originallydeveloped for binary reactions in the context of Taylor dispersion of scalars.This work extends model forms from weakly-nonlinear extensions of thatdispersion theory and the role of nonlocality in the presence of reactions isstudied and captured by analytic expressions. These expressions can beincorporated into an eddy diffusivity matrix that explicitly capture theinfluence of chemical kinetics and flow conditions on the closure operators andwe demonstrate that the model form derived in a laminar context can be directlytranslated to an analogous setup in homogeneous isotropic turbulence, which hasimplications as a subgrid scale model. We show that this framework can improveprediction of mean quantities compared to previous purely local results, butdoes not fully close unresolved terms.

Effects of operator nonlocality on closures for multicomponent reactive flows based on dispersion analysis