A note on dissipation in helical turbulence

Details A note on dissipation in helical turbulence A note on dissipation in helical turbulence

2001-04-04

arxiv.org/abs/nlin/0104008v1

Nonlinear Sciences

Chaotic Dynamics

2 pages, submitted to Phys. Fluids

Scientific paper

10.1063/1.1404138

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.

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