Abstract
In the article a numerical solution of the connected system of the equations of turbulent transfer for the fields of the velocity and concentration of a chemically active additive is used to calculate a number of the second moments of the concentration field in a flat mixing zone. The system of transfer equations is derived from the equations for a common function of the distribution of the fields of the pulsations of the velocity and the concentration [1] and is simplified in the approximation of the boundary layer. A closed form of the transfer equations is obtained on the level of three moments, using the hypothesis of four moments [2] and its generalized form for mixed moments of the field of the velocity and the field of a passive scalar. The differential operator of the closed system of the equations of turbulent transfer for the fields of the velocity and the concentration is found by a method of closure not of the parabolic type but of a weakly hyperbolic type [3]. An implicit difference scheme proposed in [4] is used for the numerical solution. The results of the numerical solution are compared with the experimental data of [5].
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Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 6, pp. 48–59, November–December, 1975.
The author thanks I. G. Druker for his helpful discussion of the question of the course of a chemical reaction in a flow.
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Kurbatskii, A.F. Statistical characteristics of the diffusion of a chemically active additive in a turbulent mixing zone. J Appl Mech Tech Phys 16, 878–886 (1975). https://doi.org/10.1007/BF00852814
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DOI: https://doi.org/10.1007/BF00852814