A statistically derived system of equations for turbulent shear flows

Publisher Website
Google Scholar
Abstract
A system of equations governing turbulent shear flows is discussed. In this system the mean velocity, the mean pressure, and four statistical quantities related to the fluctuating field constitute the fundamental quantities for shear flows. A closed system of equations for these quantities is derived statistically with the aid of the two‐scale direct‐interaction approximation, where the Reynolds stress is expressed in the form of the eddy‐viscosity representation. On this basis, some turbulence models are discussed from the statistical viewpoint.