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Reaction zone in a turbulent fluid

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Abstract

The equation for the correlation function of a scalar field is used to determine the evolution of a spherical volume of a passive reactive impurity; here, this equation is closed by the proposed relation between the third and second two-point moments. The equation in question is the Corrsin equation with additional terms that determine chemical transformations and the influence of the inhomogeneity of the scalar’s distribution. Concurrently, the equation for the probability density of the concentration of a passive impurity is solved in order to determine the mean rate of chemical reactions. A special feature of this approach is separating the influence of the turbulent field of the velocity and the molecular transfer on the process of mixing. By the compatible solution of these equations, the distribution of the turbulent diffusion and scalar dissipation coefficients and regularities of the reactionwave velocity can be found.

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Authors and Affiliations

  1. Ishlinsky Institute for Problems of Mechanics, Russian Academy of Sciences, Moscow, Russia

    V. A. Frost

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  1. V. A. Frost
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Correspondence to V. A. Frost.

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Original Russian Text © V.A. Frost, 2015, published in Matematicheskoe Modelirovanie, 2015, Vol. 27, No. 2, pp. 63–73.

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Frost, V.A. Reaction zone in a turbulent fluid. Math Models Comput Simul 7, 430–438 (2015). https://doi.org/10.1134/S207004821505004X

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  • DOI: https://doi.org/10.1134/S207004821505004X

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