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Transition from Ekman flow to Taylor vortex flow in superfluid helium

K. L. Henderson·C. F. Barenghi
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Abstract

By numerically computing the steady axisymmetric flow of helium II confined inside a finite aspect ratio Couette annulus, we determine the transition from Ekman flow to Taylor vortex flow as a function of temperature and aspect ratio.We find that the low-Reynolds number flow is quite different to that of a classical fluid, particularly at lower temperatures.At high aspect ratio our results confirm the existing linear stability theory of the onset of Taylor vortices, which assumes infinitely long cylinders.

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K. L. Henderson, C. F. Barenghi. 2003-06-23. Transition from Ekman flow to Taylor vortex flow in superfluid helium. https://doi.org/10.1017/s0022112004009206

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