PROCEEDINGS OF THE RUSSIAN HIGHER SCHOOL
ACADEMY OF SCIENCES

Abstract
The stability of a spiral flow arising due to a combined axial pressure drop and rotation of the inner cylinder in channels of different width between coaxial cylinders is considered. The flow stability is determined by two independent Reynolds numbers corresponding to the flow in the axial and azimuthal directions. Neutral stability curves are built and dependencies of perturbation increments on the wave number are found in a wide range of flows. It is established that depending on the flow conditions the most unstable modes can have different azimuthal wavenumbers. The dependence of the flow stability characteristics on the azimuthal Reynolds number is studied. The flow instability regime which corresponds to the Rayleigh-Taylor-type instability of the cylindrical Couette flow is revealed. This type of instability is suppressed with increasing the axial Reynolds number. It is shown that the data obtained agree well with the experimental results. Finally, it is found that there are bifurcations of neutral stability curves in some flow regimes. The ranges of corresponding Reynolds numbers are also determined in the paper.

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