Turbulent diffusion of chemically reacting flows: theory and numerical simulations

Abstract

The theory of turbulent diffusion of chemically reacting gaseous admixtures developed previously (Phys. Rev. E {\bf 90}, 053001, 2014) is generalized for large yet finite Reynolds numbers, and the dependence of turbulent diffusion coefficient versus two parameters, the Reynolds number and Damköhler number (which characterizes a ratio of turbulent and reaction time scales) is obtained. Three-dimensional direct numerical simulations (DNS) of a finite thickness reaction wave for the first-order chemical reactions propagating in forced, homogeneous, isotropic, and incompressible turbulence are performed to validate the theoretically predicted effect of chemical reactions on turbulent diffusion. It is shown that the obtained DNS results are in a good agreement with the developed theory.

8 pages, 6 figures, REVTEX4-1, revised

References in corpus (5)

• Magnetic fluctuations and formation of large-scale inhomogeneous magnetic structures in a turbulent convection
• Cosmic ray current-driven turbulence and mean-field dynamo effect
• New scaling for the alpha effect in slowly rotating turbulence
• Turbulent front speed in the Fisher equation: dependence on Damkohler number
• Turbulent diffusion of chemically reacting gaseous admixtures

Cited by in corpus (5)

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• Turbulent transport of radiation in the solar convective zone