Extended local balance model of turbulence and couette-taylor flow
An extended local balance model of turbulence, based on a new transport equation for the dissipation rate with a negative diffusion coefficient, is presented. Analytical solutions for the mean velocity and the dissipation rate for the turbulent Couette-Taylor problem are derived. The dependence of torque on the Reynolds number is obtained. These solutions depend only on two constants k=0.4 and C=9.5 of the turbulent boundary layer and, within the limits of a narrow channel, are reduced to the well-known von Karman's solutions for planar Couette flow. Strange attractor behavior in this limit is also observed.
Balonishnikov
AM
Department of Natural Sciences and Ecology, St. Petersburg State Academy for Economics and Engineering, 27 Marata, 197002 St. Petersburg, Russia.