Experimental verification of the Kolmogorov refined similarity hypothesis

Kolmogorov’s refined similarity hypothesis (RSH) was challenged by Hosokawa and Yamamoto [Phys. Fluids A 4, 457 (1992)] on the basis of a direct numerical simulation data set at Rλ<100. The authors considered that their results were ‘‘a clear case of violation of the RSH.’’ However, the hypothesis was proposed for very high Reynolds number flows and is not expected to apply at the low Reynolds numbers typical of current simulations. The Hosokawa and Yamamoto tests have been repeated with a high Reynolds number (Rλ≊3.2×103) experimental data set. The results are in good agreement with the Kolmogorov RSH.