Sub-Gaussian behavior of the Townsend-Perry constants in turbulent boundary layers.

Research paper by Björn B Birnir, Xi X Chen

Indexed on: 13 Feb '16Published on: 13 Feb '16Published in: Physical review. E


A theory is developed to explain the sub-Gaussian behavior of the Townsend-Perry constants (A_{p}) recently measured for high-order fluctuation moments in turbulent boundary layers. It yields the generalized logarithmic law for high-order moments and A_{p}/A_{1}=(ℓ^{*})^{ζ_{p}/p-ζ_{1}}C_{p}^{1/p}/C_{1}, where ζ_{p} are the Kolmogorov-Obukhov-She-Leveque scaling characterizing intermittence effects; ℓ^{*}=1/225 is the only free parameter describing a specific ratio between inertial and energy-containing eddy sizes; C_{p} are raw moments of a Gaussian with unity mean and variance. The predicted A_{p}/A_{1} are in good agreement with experimental data.