Effect of initial conditions on the mean energy dissipation rate and the scaling exponent

Abstract

Implications of the expectation that the mean energy dissipation rate 〈ε〉 should become independent of viscosity at sufficiently large values of $R_{\lambda },$ the Taylor microscale Reynolds number, are examined within the framework of small-scale intermittency and an adequate description of the second-order velocity structure function over the dissipative and inertial ranges. For nominally the same flow, a two-dimensional wake, but with different initial conditions, values of $C_{\epsilon }\equiv 〈\epsilon 〉{L/u}^{\prime 3},$ the scaling exponent and the Kolmogorov constant differ at the same $R_{\lambda }.$