SPECTRUM OF ENERGY IN TURBULENT SHEAR FLOW

Abstract

Parametric solutions for the three-dimensional energy spectrum function, are obtained by using Heisenberg's type of approximations for the transfer function. Much simpler solutions are obtained with the modified Obukhov approximation. Some closed form solutions are derived by using a vorticity approximation concept. It is shown that Tchen's law cannot exist if diffusional effects are taken into account. Computed one-dimensional energy spectra (isotropic relations were used) show good agreement with measurements from the viscous region of a turbulent boundary layer.