SUPERFLUID-HELIUM BETWEEN ROTATING CYLINDERS

We numerically solve the nonlinear two-fluid Hall-Vinen-Bekharevich-Kh alatnikov equations for superfluid helium II confined inside a small a spect ratio Couette annulus. This simple pow configuration allows us t o study how the vortex: lines respond to a shear in the presence of bo undaries. We find that the tension of the vortex lines forces the supe rfluid to move in a way which is very different from the motion of a c lassical fluid. We have considered rotation of the inner cylinder only and End that there is a higher density of vortex lines close to the i nner cylinder than at the stationary outer cylinder. PACS numbers: 67, 67.40.Hf, 47.37.+q.