On the triple correlations in helical turbulence

The evolution of correlation characteristics in homogeneous helical turbulence is considered. Additional K’arm’an-Howarth type equations, describing the evolution of the mixed correlation tensor of the velocity and vorticity are obtained. In the helical scaling region, the solution of obtained equation gives the exact relation between antisymmetric component of a rank-three tensor and the average dissipation of helicity. This relation is a helical analogue of Kolmogorov’s known 4/5 law.