Abstract

The instability of Couette flow caused by vortices with spiral symmetry is studied; the equations of motion in a suitable “spiral” metric turn out to be analogous with those describing vortices with axial symmetry. The approximate solution is obtained by discretization of the differential equations. Special numerical techniques reduce drastically the dimensions of the matrices involved in the calculations. The Taylor number for transition is computed; comparisons with known results are established. The results are shown in a number of graphs.

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