Domaradzki, J. A., and G. L. Mellor, 1984: A simple turbulence closure hypothesis for the triple-velocity correlation functions in homogeneous isotropic turbulence. Journal of Fluid Mechanics, 140, 45-61.

Abstract: A simple two-point closure scheme for homogeneous axisymmetric turbulence is developed. For the isotropic case it is essentially an eddy-viscosity assumption in real space for the Karman-Howarth equation. The eddy-viscosity function for large internal Reynolds numbers is derived from Kolmogoroff's 1941 theory. For moderate Reynolds numbers of order 10², approximately the same expression for the eddy-viscosity function is determined from experimental data. The resulting closed equation for the double-correlation function is solved numerically for both large and moderate Reynolds numbers, and the results are compared with experimental data. Self-similar solutions of the basic equation predict turbulent energy decay inversely proportional to time. It is shown that the departure from this 'initial-period decay law' observed in laboratory data is due to the behavior of grid-produced correlation functions for large separation distances.