Estimating von Kármán's constant from homogeneous turbulenceT. S. Lo, V. S. L'vov, A. Pomyalov and I. Procaccia
Department of Chemical Physics, The Weizmann Institute of Science Rehovot 76100, Israel
received 22 August 2005; accepted in final form 13 October 2005
published online 9 November 2005
A celebrated universal aspect of wall-bounded turbulent flows is the von Kármán log-law-of-the-wall, describing how the mean velocity in the stream-wise direction depends on the distance from the wall. Although the log-law is known for more than 75 years, the von Kármán constant governing the slope of the log-law was not determined theoretically. In this letter we show that the von Kármán constant can be estimated from homogeneous turbulent data, i.e. without information from wall-bounded flows.
47.27.Nz - Boundary layer and shear turbulence.
47.27.Jv - High-Reynolds-number turbulence.
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