Dissipation in helical turbulence

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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=kH−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=kE−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.
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