О режимах устойчивости течения в канале между соосными цилиндрами (стр. 4 )

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ON THE STABILITY REGIMES FOR THE FLOW IN CHANNEL
BETWEEN COAXIAL CYLINDERS

Bord E. G.1, Rudyak V. Ya.2

1,2Novosibirsk State University of architecture and civil engineering,
Novosibirsk, Russia

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

Keywords: hydrodynamic stability, spiral flows, Rayleigh-Taylor instability, laminar-turbulent transition, neutral stability curves.

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