Mathematical model for logarithmic scaling of velocity fluctuations in wall turbulence

Abstract

For wall turbulence, moments of velocity fluctuations are known to be logarithmic functions of the height from the wall. This logarithmic scaling is due to the existence of a characteristic velocity and to the nonexistence of any characteristic height in the range of the scaling. By using mathematics of random variables, we obtain its necessary and sufficient conditions. They are compared with characteristics of a phenomenological model of eddies attached to the wall and also with those of the logarithmic scaling of the mean velocity.

5 pages, to appear in Physical Review E

References in corpus (2)

• Large-eddy simulation study of the logarithmic law for second and higher-order moments in turbulent wall-bounded flow
• Log-stable law of energy dissipation as a framework of turbulence intermittency

Cited by in corpus (1)

• Logarithmic scaling for fluctuations of a scalar concentration in wall turbulence