Scaling of the mean energy dissipation rate equation in grid turbulence

Measurements of the isotropic transport equation for the mean energy dissipation rate in decaying grid turbulence indicate that the destruction term increases linearly with the Taylor microscale Reynolds number R-lambda whereas the skewness of the longitudinal velocity derivative is approximately independent of R-lambda. As a consequence, self-preservation based on the Taylor microscale lambda is strictly valid when R-lambda is constant during decay. The high wavenumber part of the vorticity spectrum scales approximately on the Kolmogorov microscale, thus excluding the possibility of a lambda-based similarity for all scales of motion except when R-lambda is constant.