A note on dissipation in helical turbulence
arXiv:nlin/0104008 · doi:10.1063/1.1404138
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, $ξ=k_H^{-1}$, 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, $η=k_E^{-1}$, and their ratio $η/ ξ$ 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