Abstract:
Turbulent boundary layers exhibit a universal structure which nevertheless is rather complex, being composed of a viscous sub-layer, a buffer zone, and a turbulent log-law region. In this letter we present a simple analytic model of turbulent boundary layers which culminates in explicit formulae for the profiles of the mean velocity, the kinetic energy and the Reynolds stress as a function of the distance from the wall. The resulting profiles are in close quantitative agreement with measurements over the entire structure of the boundary layer, without any need of re-fitting in the different zones.
Citation:
V. S. L'vov, I. Procaccia, O. V. Rudenko, “Analytic Model of the Universal Structure of Turbulent Boundary Layers”, Pis'ma v Zh. Èksper. Teoret. Fiz., 84:2 (2006), 67–72; JETP Letters, 84:2 (2006), 62–67
V.B. Eltsov, R. de Graaf, R. Hänninen, M. Krusius, R.E. Solntsev, V.S. L'vov, A.I. Golov, P.M. Walmsley, Progress in Low Temperature Physics, 16, Quantum Turbulence, 2009, 45