title: Extended local balance model of turbulence and couette-taylor flow
abstract: 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.
authors.affiliation: Department of Natural Sciences and Ecology, St. Petersburg State Academy for Economics and Engineering, 27 Marata, 197002 St. Petersburg, Russia.
authors.initials: AM
authors.lastname: Balonishnikov