Local instabilities of swirling flows with a radial heating: linking Eckhoff-Leibovich-Stewartson & Goldreich-Schubert-Fricke criteria

Oleg Kirillov, Innocent Mutabazi

Research output: Contribution to conferenceAbstractpeer-review


Short-wavelength local stability analysis is performed of a helical base flow of an incompressible fluid in a differentially rotating cylindrical annulus with radial temperature gradient and an Archimedean buoyancy. A new explicit generalized Rayleigh criterion that mixes the Eckhoff-Leibovich-Stewartson (ELS) criterion for instability of helical flows and the Goldreich-Schubert-Fricke (GSF) criterion for the instability of azimuthal flows with radial temperature gradient, is derived.
Original languageEnglish
Number of pages1
Publication statusAccepted/In press - 28 Sept 2023
EventMultiple Instabilities and transition to turbulence - University of Normandy - Le Havre, Le Havre, France
Duration: 28 Sept 202329 Sept 2023


WorkshopMultiple Instabilities and transition to turbulence
CityLe Havre
Internet address

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