Abstract:
The closure of Corrsin equation is implemented using the gradient hypothesis linking a mixed two-point correlation moment of the third-order with two-point correlation function of the second-order of passive scalar field. Based on the closed system of Kolmogorov and Yaglom equations the numerical model of locally isotropic turbulence was constructed. Under the assumption of constancy of Loitsiansky and Corrsin invariants the self-similar solution of the Corrsin equation, corresponding to an infinitely large Reynolds and Peclet numbers, was constructed. A numerical model of the dynamics of turbulence and temperature fluctuations behind a heated grid located in a wind tunnel is constructed on the basis of closed Karman–Howarth and Corrsin equations
Keywords:locally isotropic and isotropic turbulence, Karman-Howarth and Corrsin equations, Kolmogorov and Yaglom equations, numerical modeling.