Abstract
A closure of the Corrsin equation is performed using the gradient hypothesis connecting a third-order mixed correlation moment with a second-order two-point correlation function of a passive scalar field. A numerical model of the locally isotropic turbulence is constructed based on the closed system of the Kolmogorov and Yaglom equations. On the assumption of constant Loitsiansky and Corrsin invariants, a self-similar solution of the Corrsin equation is constructed corresponding to infinitely large Reynolds and Peclet numbers. A numerical model of the turbulence dynamics and temperature fluctuations behind a heated grid in a wind tunnel is constructed based on the closed Karman-Howarth and Corrsin equations.
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Original Russian Text © M.K. Baev, G.G. Chernykh, 2011, published in Matematicheskoe Modelirovanie, 2011, Vol. 23, No. 10, pp. 44–64.
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Baev, M.K., Chernykh, G.G. Numerical model of a turbulent flow behind a heated grid in a wind tunnel. Math Models Comput Simul 4, 321–335 (2012). https://doi.org/10.1134/S2070048212030027
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DOI: https://doi.org/10.1134/S2070048212030027