On the stability of the Couette–Taylor flow between rotating porous cylinders with radial flow

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JournalEuropean Journal of Mechanics - B/Fluids
DateAccepted/In press - 14 Nov 2019
Number of pages13
Original languageEnglish

Abstract

We study the stability of the Couette-Taylor flow between porous cylinders with radial throughflow. It had been shown earlier that this flow can be unstable
with respect to non-axisymmetric (azimuthal or helical) waves provided that
the radial Reynolds number, $R$ (constructed using the radial velocity at the inner cylinder and its radius), is high. In this paper, we present a very detailed and, in many respects, novel chart of critical curves in a region of moderate values of $R$, and we show that, starting from values of $R$, as low as $10$, the critical modes inherited from the inviscid instability gradually substitute the classical Taylor vortices. Also, we have looked more closely at the effect of a weak radial flow (relatively low $R$) on the Taylor instability and found that a radial flow directed from the inner cylinder to the outer one is capable of stabilizing the Couette-Taylor flow provided that the gap between the cylinders is wide enough. This observation is in a sharp contrast with the case of relatively narrow gaps for which the opposite effect is well-known.

    Research areas

  • Instability, Couette–Taylor flow, Radial flow

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