TURBULENT TAYLOR–COUETTE FLOW AT LARGE REYNOLDS NUMBERS

The problem of the steady-state turbulent fl ow of an incompressible fl uid in the clearance between two coaxial infi nite circular cylinders of radii R1 and R2, caused by the rotation of the inner cylinder of radius R1 under the conditions where the outer cylinder of radius R2 is immovable, i.e., the problem of a Taylor–Couette fl ow, was solved numerically within the framework of the model of a near-wall anisotropic turbulence with regard for the action of the centrifugal forces on the near-wall vortex structures determining the  character of the fl ow between the cylinders. The profi les of the angular velocities of the fl uid fl owing along the radius of the clearance between the cylinders in the regime of completely developed turbulence were determined by numerical integration of the equation of motion of this fl uid. The results of calculations of the fl ow between the cylinders at R1/ R2 = 0.716 and Re = 105, 106, and 2·106  were compared with known solutions of the problem being considered and corresponding experimental data.
The problem of the steady-state turbulent fl ow of an incompressible fl uid in the clearance between two coaxial infi nite circular cylinders of radii R1 and R2, caused by the rotation of the inner cylinder of radius R1 under the conditions where the outer cylinder of radius R2 is immovable, i.e., the problem of a Taylor–Couette fl ow, was solved numerically within the framework of the model of a near-wall anisotropic turbulence with regard for the action of the centrifugal forces on the near-wall vortex structures determining the  character of the fl ow between the cylinders. The profi les of the angular velocities of the fl uid fl owing along the radius of the clearance between the cylinders in the regime of completely developed turbulence were determined by numerical integration of the equation of motion of this fl uid. The results of calculations of the fl ow between the cylinders at R1/ R2 = 0.716 and Re = 105, 106, and 2·106  were compared with known solutions of the problem being considered and corresponding experimental data.
Author:  V. A. Babkin
Keywords:  near-wall turbulence, eddy viscosity, two-layer wall, flow subregions, angular-velocity profile
Page:  1247