Forward and inverse energy cascade and fluctuation relation in fluid turbulence adhere to Kolmogorov's refined similarity hypothesis

H. Yao, P. K. Yeung, T. A. Zaki +1

We study fluctuations of the local energy cascade rate ${\Phi }_{\ell }$ in turbulent flows at scales ($\ell$) in the inertial range. According to the Kolmogorov refined similarity hypothes…