Renormalized expression for the turbulent energy dissipation rate - art. no. 015304

Conditional elimination of degrees of freedom is shown to lead to an exact expression for the rate of turbulent energy dissipation in terms of a renor malized viscosity and a correction. The correction is neglected on the basi s of a previous hypothesis [W. D. McComb and C. Johnston. J. Phys. A 33, L1 5 (2000)] that there is a range of parameters for which a quasistochastic e stimate is a good approximation to the exact conditional average. This hypo thesis was tested by a perturbative calculation to second order in the loca l Reynolds number. and the Kolmogorov prefactor (taken as a measure of the renormalized dissipation rate) was found to reach a fixed point which was i nsensitive to initial values of the kinematic viscosity and to values of th e spatial rescaling factor h in the range 0.4 less than or equal toh less t han or equal to0.8.