Abstract
Spiral vortices appearing in Couette-Taylor flows are studied by means of numerical simulation. Transition curves from Couc tte to spiral vortices for different radius ratios and wavenumbers have been calculated in order to test our technique. Critical Reynolds numbers, angular velocities and slopes of the spirals at the onset of the instability agree with previous results [1]. Non-linear solutions obtained by a pseudospectral collocation method are studied, and they show a weak net axial flow. In order to counteract this effect, which is absent in the usual experimental set-up, an axial pressure gradient has been included. This procedure has proved be be sufficient to make the axial flow negligible. The onset of a quasiperiodic flow for larger Reynolds numbers, corresponding to a secondary bifurcation is also presented.
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© 1993 Springer Science+Business Media Dordrecht
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Sánchez, J., Crespo, D., Marquès, F. (1993). Spiral Vortices Between Concentric Cylinders. In: Nieuwstadt, F.T.M. (eds) Advances in Turbulence IV. Fluid Mechanics and its Applications, vol 18. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1689-3_10
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DOI: https://doi.org/10.1007/978-94-011-1689-3_10
Publisher Name: Springer, Dordrecht
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