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

Oleg Kirillov; Innocent Mutabazi

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

Mathematics, Physics and Electrical Engineering

Research output: Contribution to conference › Abstract › peer-review

Abstract

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 language	English
Number of pages	1
Publication status	Accepted/In press - 28 Sept 2023
Event	Multiple Instabilities and transition to turbulence - University of Normandy - Le Havre, Le Havre, France Duration: 28 Sept 2023 → 29 Sept 2023 https://imworkshop2023.sciencesconf.org/

Workshop

Workshop	Multiple Instabilities and transition to turbulence
Country/Territory	France
City	Le Havre
Period	28/09/23 → 29/09/23
Internet address	https://imworkshop2023.sciencesconf.org/

Keywords

swirling flow
cyclon cooling
tropical cyclone
Instability

Access to Document

https://imworkshop2023.sciencesconf.org/program

Cite this

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

abstract = "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.",

keywords = "swirling flow, cyclon cooling, tropical cyclone, Instability",

author = "Oleg Kirillov and Innocent Mutabazi",

year = "2023",

month = sep,

day = "28",

language = "English",

note = "Multiple Instabilities and transition to turbulence ; Conference date: 28-09-2023 Through 29-09-2023",

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TY - CONF

T1 - Local instabilities of swirling flows with a radial heating: linking Eckhoff-Leibovich-Stewartson & Goldreich-Schubert-Fricke criteria

AU - Kirillov, Oleg

AU - Mutabazi, Innocent

PY - 2023/9/28

Y1 - 2023/9/28

N2 - 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.

AB - 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.

KW - swirling flow

KW - cyclon cooling

KW - tropical cyclone

KW - Instability

M3 - Abstract

T2 - Multiple Instabilities and transition to turbulence

Y2 - 28 September 2023 through 29 September 2023

ER -