ON THE 3RD MOMENTS IN HELICAL TURBULENCE

The evolution of the correlation characteristics in homogeneous helica l turbulence is studied. Additional Karman-Howarth-type equations desc ribing the evolution of the mixed correlation tensor of the velocity a nd vorticity are obtained. In the helical scaling region, the solution of the obtained equation gives the exact relation between the antisym metric component of a rank-three correlation tensor and the average di ssipation of helicity; this relation is a kind of analog of Kolmogorov 's well-known 4/5 law [A. N. Kolmogrov, Dokl. Akad. Nauk SSSR 32(1), 1 9 (1941)]. (C) 1996 American Institute of Physics.