Saturation of nonaxisymmetric instabilities of magnetized spherical Couette flow

Nonaxisymmetric magnetorotational instabilities in cylindrical Taylor-Couette flow.

We study the stability of cylindrical Taylor-Couette flow in the presence of azimuthal magnetic fields, and show that one obtains nonaxisymmetric magnetorotational instabilities, having azimuthal wave number m=1. For Omega{o}/Omega{i} only slightly greater than the Rayleigh value (r{i}/r{o}){2}, the critical Reynolds and Hartmann numbers are Re{c} approximately 10{3} and Ha{c} approximately 10{...

Nonaxisymmetric instability of shear-banded Taylor-Couette flow.

Recent experiments show that shear-banded flows of semidilute wormlike micelles in Taylor-Couette geometry exhibit a flow instability in the form of Taylor-like vortices. Here we perform the nonaxisymmetric linear stability analysis of the diffusive Johnson-Segalman model of shear banding and show that the nature of this instability depends on the applied shear rate. For the experimentally rele...

Pinch instabilities in Taylor-Couette flow.

The linear stability of the dissipative Taylor-Couette flow with an azimuthal magnetic field is considered. Unlike ideal flows, the magnetic field is a fixed function of a radius with two parameters only: a ratio of inner to outer cylinder radii, eta, and a ratio of the magnetic field values on outer and inner cylinders, muB. The magnetic field with 0<muB<1/eta stabilizes the flow and is called...

taylor-couette flow instabilities in journal bearings

in industry, flow instabilities are important in journal bearings at high rotational speeds. for inviscid flows between two rotating coaxial cylinders, an instability criterion was introduced by taylor-couette. however, viscosity may play as stabilizer or destabilize in such flows. in this work, stability theories were reviewed for two coaxial rotating cylinders. then, flow instability patterns...

Convective Instabilities in Plane Couette Flow