Short wavelength local instabilities of a circular Couette flow with radial temperature gradient

Oleg Kirillov, Innocent Mutabazi

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7 Citations (Scopus)
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Abstract

We perform a linearized local stability analysis for short-wavelength perturbations of a circular Couette flow with the radial temperature gradient. Axisymmetric and nonaxisymmetric perturbations are considered and both the thermal diffusivity and the kinematic viscosity of the fluid are taken into account. The effect of the asymmetry of the heating both on the centrifugally unstable flows and on the onset of the instabilities of the centrifugally stable flows, including the flow with the Keplerian shear profile, is thoroughly investigated. It is found that the inward temperature gradient destabilizes the Rayleigh stable flow either via Hopf bifurcation if the liquid is a very good heat conductor or via steady state bifurcation if viscosity prevails over the thermal conductance.
Original languageEnglish
Pages (from-to)319-343
JournalJournal of Fluid Mechanics
Volume818
Early online date29 Mar 2017
DOIs
Publication statusPublished - May 2017

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