A note on dissipation in helical turbulence

Abstract

In helical turbulence a linear cascade of helicity accompanying the energy cascade has been suggested. Since energy and helicity have different dimensionality we suggest the existence of a characteristic inner scale, $\xi =k_H^{-1}$, for helicity dissipation in a regime of hydrodynamic fully developed turbulence and estimate it on dimensional grounds. This scale is always larger than the Kolmogorov scale, $\eta =k_E^{-1}$, and their ratio $\eta /\xi$ vanishes in the high Reynolds number limit, so the flow will always be helicity free in the small scales.

2 pages, submitted to Phys. Fluids

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