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JOURNALS // Matematicheskoe modelirovanie // Archive

Mat. Model., 2015 Volume 27, Number 2, Pages 63–73 (Mi mm3571)

This article is cited in 1 paper

The reaction zone in the turbulent reactive fluid

V. A. Frost

A.Yu. Ischlinsky's Institute for Problems in Mechanics of Russian Academy of Sciences

Abstract: The equation for correlation function of a scalar field, closed by suggested relation between the third and the second order two-point moments, is used for calculating the evolution of spherical volume of a passive reactive scalar. Correlations are described by the Corrsin equation with additional terms arising due to non-homogeneity and reactivity of scalar field. Together with the equation for the correlations, the equation for the probability density distribution of a passive scalar was needed for the mean chemical reaction rate calculation is used. The feature of this approach is the separation of influences imposed to micromixing by turbulent velocity and molecular transfer. The compatible calculation equations were used enables one to determine the evolution of the turbulent diffusivity, and the scalar dissipation, and the reaction wave rate regularities.

Keywords: turbulence, correlation function, two-point third moments, Corrsin equation, micromixing, turbulent combustion.

Received: 25.11.2013


 English version:
Mathematical Models and Computer Simulations, 2015, 7:5, 430–438

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© Steklov Math. Inst. of RAS, 2025