Local anisotropic effects on multifractality of turbulence

We study the differences in multifractal properties of rate of dissipation and related fields such as ${\mathit{du}}^2$/dt, (∂u/∂t${)}^2$, and (∂u/∂x${)}^2$ as well as enstrophy and enstrophy generation. It is argued that these differences can result from local anisotropy of the flow properties in subregions with high values of corresponding fields. Local ‘‘cascades’’ of such quantities as helicity and inviscid helicity generation are considered in this connection. A number of results from laboratory experiments and field observations are analyzed in the context of the above differences and related problems.