Spectral theory of Taylor vortices

Spectral Theory of Taylor Vortices

Structural evolution of the Taylor vortices

We classify in this article the structure and its transitions/évolution of the Taylor vortices with perturbations in one of the following catégories: a) the Hamiltonian vector fields, b) the divergencefree vector fields, and c). the solutions of the Navier-Stokes équations on the two-dimensional torus. This is part of a project orient ed toward to developing a geometrie theory of incompressible...

Taylor-like vortices in shear-banding flow of giant micelles.

Using flow visualizations in Couette geometry, we demonstrate the existence of Taylor-like vortices in the shear-banding flow of a giant micelles system. We show that vortices stacked along the vorticity direction develop concomitantly with interfacial undulations. These cellular structures are mainly localized in the induced band and their dynamics is fully correlated with that of the interfac...

Boundary effects and the onset of Taylor vortices

It is well established that the onset of spatially periodic vortex states in the Taylor– Couette flow between rotating cylinders occurs at the value of Reynold’s number predicted by local bifurcation theory. However, the symmetry breaking induced by the top and bottom plates means that the true situation should be a disconnected pitchfork. Indeed, experiments have shown that the fold of the dis...

Formation of Taylor Vortices in Spherical Couette Flow

We have conducted a numerical studv of spherical Couette Vlow -the flow between differentiallv rotatin~ concentric spheres. When the qa D ratio o{(R2-RI)/RI (where R 1 and R 2 are the radii of the inner and outer spheres) is small, the flow near the e~uator resembles that between cylinders, the classic Tavlor-Couette ~roblem. As in Tavlor-Couette flow, when the angular momentum gradient, measur...