NUMERICAL-SOLUTION OF TURBULENT TAYLOR-VORTEX FLOW

The numerical solution of mean turbulent Taylor-vortex flow is shown. The azimuthal-invariant, cylindrical, Navier-Stokes equations are solv ed to steady-state for the case of inner cylinder rotation with radius ratio 0.5 and Taylor cell wavelength 2.3. Closure is obtained via a P randtl-Van Driest turbulence model. Subject to no-slip conditions at r adial boundaries and periodic conditions at axial boundaries, the turb ulent solution was obtained for a critical Taylor number multiple of 7 00. The vorticity-velocity method relies on a second-order accurate al ternating-direction implicit (ADI) scheme with logarithmic grid cluste ring. Convective terms are differenced by a hybrid method that is cent ral-prefer-red/upwind. Azimuthal velocity and wall shear stress are co mpared to the experiments of Taylor.