On the scaling of the turbulence energy dissipation rate

From an examination of all data to date on the dissipation of turbulent energy in grid turbulence, it is concluded that, for square-mesh configuration, the ratio of the time scale characteristic of dissipation rate to that characteristic of energy-containing eddies is a constant independent of Reynolds number, for microscale Reynolds numbers in excess of about 50. Insufficient data available for other grid configurations suggest a possibility that the ratio could assume different numerical values for different configurations. This persistent effect of initial conditions on the time scale ratio is further illustrated by reference to the jet-grid data of Gad-el-Hak and Corrsin.