A numerical investigation of confined turbulent shear flows
Abstract
The first objective of this work was to present a new derivation of the method of coarse graining for the computation of turbulent flows. The work presented was primarily concerned with two dimensional flow. The principal improvement in the method of coarse graining consists of the establishment of a new general law of turbulent diffusion which applies to any scalar that is passively convected in a turbulent flow. The law was in the form of an expansion in roughly the Lagrangian integral time scale. The transport law was used to derive a closed set of equations for the mean vorticity and mean squared fluctuating vorticity. Other innovations included a more precise accounting of the effects of the local turbulence on the velocity moments and the use of an explicit equation for mean squared fluctuating vorticity instead of mean squared vorticity.
 Publication:

Ph.D. Thesis
 Pub Date:
 August 1977
 Bibcode:
 1977PhDT.......114B
 Keywords:

 Numerical Analysis;
 Shear Flow;
 Turbulent Flow;
 Flow Velocity;
 Fluid Flow;
 Reynolds Number;
 Two Dimensional Flow;
 Vorticity Equations;
 Fluid Mechanics and Heat Transfer