Local monotonic and oscillatory instabilities in differentially heated visco-diffusive swirling flows

Oleg Kirillov; Innocent Mutabazi

Abstract

Hydrodynamic modeling describes swirling ows as arising from the combined effects of rotation and shear in two orthogonal directions. The base state of these ows consists of azimuthal and axial velocity components, occurring in either confined geometries (common in engineering applications) or open geometries(typical of natural phenomena), see Figure 1. The stability of swirling flows and their transition to turbulence pose a significant scientific challenge, especially when factors like temperature gradients, stratfication, or electromagnetic fields are involved. In this talk, based on the works (Kirillov, 2025; Kirillov & Mutabazi,2025, 2024, 2017), we focus on the instabilities of swirling ows with a radial temperature gradient, crucialin industrial processes like combustion (Candel et al, 2014) and natural phenomena like tropical cyclones(Emanuel, 2018), tornadoes, and astrophysical ows (Tziotziou et al., 2023).

Original language	English
Pages	1-2
Number of pages	2
Publication status	Published - 15 Jul 2025
Event	23rd International Couette-Taylor Workshop - ICTW2025 - Durham University, Durham, United Kingdom Duration: 14 Jul 2025 → 16 Jul 2025 Conference number: 23 https://maths.dur.ac.uk/ICTW2025/

Workshop

Workshop	23rd International Couette-Taylor Workshop - ICTW2025
Abbreviated title	ICTW2025
Country/Territory	United Kingdom
City	Durham
Period	14/07/25 → 16/07/25
Internet address	https://maths.dur.ac.uk/ICTW2025/

Keywords

swirling flows
McIntyre instability
Centrifugal instability
Couette-Taylor flow
stratified flows
temperature gradient
viscosity
diffusivity
WKB approximation

Access to Document

ICTW2025-KIRILLOVFinal published version, 1.9 MB

https://maths.dur.ac.uk/ICTW2025/programme.html

Cite this

@conference{e8ee38912f17497da230a21ae44abab5,

title = "Local monotonic and oscillatory instabilities in differentially heated visco-diffusive swirling flows",

abstract = "Hydrodynamic modeling describes swirling ows as arising from the combined effects of rotation and shear in two orthogonal directions. The base state of these ows consists of azimuthal and axial velocity components, occurring in either confined geometries (common in engineering applications) or open geometries(typical of natural phenomena), see Figure 1. The stability of swirling flows and their transition to turbulence pose a significant scientific challenge, especially when factors like temperature gradients, stratfication, or electromagnetic fields are involved. In this talk, based on the works (Kirillov, 2025; Kirillov \& Mutabazi,2025, 2024, 2017), we focus on the instabilities of swirling ows with a radial temperature gradient, crucialin industrial processes like combustion (Candel et al, 2014) and natural phenomena like tropical cyclones(Emanuel, 2018), tornadoes, and astrophysical ows (Tziotziou et al., 2023).",

keywords = "swirling flows, McIntyre instability, Centrifugal instability, Couette-Taylor flow, stratified flows, temperature gradient, viscosity, diffusivity, WKB approximation",

author = "Oleg Kirillov and Innocent Mutabazi",

year = "2025",

month = jul,

day = "15",

language = "English",

pages = "1--2",

note = "23rd International Couette-Taylor Workshop - ICTW2025, ICTW2025 ; Conference date: 14-07-2025 Through 16-07-2025",

url = "https://maths.dur.ac.uk/ICTW2025/",

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TY - CONF

T1 - Local monotonic and oscillatory instabilities in differentially heated visco-diffusive swirling flows

AU - Kirillov, Oleg

AU - Mutabazi, Innocent

N1 - Conference code: 23

PY - 2025/7/15

Y1 - 2025/7/15

N2 - Hydrodynamic modeling describes swirling ows as arising from the combined effects of rotation and shear in two orthogonal directions. The base state of these ows consists of azimuthal and axial velocity components, occurring in either confined geometries (common in engineering applications) or open geometries(typical of natural phenomena), see Figure 1. The stability of swirling flows and their transition to turbulence pose a significant scientific challenge, especially when factors like temperature gradients, stratfication, or electromagnetic fields are involved. In this talk, based on the works (Kirillov, 2025; Kirillov & Mutabazi,2025, 2024, 2017), we focus on the instabilities of swirling ows with a radial temperature gradient, crucialin industrial processes like combustion (Candel et al, 2014) and natural phenomena like tropical cyclones(Emanuel, 2018), tornadoes, and astrophysical ows (Tziotziou et al., 2023).

AB - Hydrodynamic modeling describes swirling ows as arising from the combined effects of rotation and shear in two orthogonal directions. The base state of these ows consists of azimuthal and axial velocity components, occurring in either confined geometries (common in engineering applications) or open geometries(typical of natural phenomena), see Figure 1. The stability of swirling flows and their transition to turbulence pose a significant scientific challenge, especially when factors like temperature gradients, stratfication, or electromagnetic fields are involved. In this talk, based on the works (Kirillov, 2025; Kirillov & Mutabazi,2025, 2024, 2017), we focus on the instabilities of swirling ows with a radial temperature gradient, crucialin industrial processes like combustion (Candel et al, 2014) and natural phenomena like tropical cyclones(Emanuel, 2018), tornadoes, and astrophysical ows (Tziotziou et al., 2023).

KW - swirling flows

KW - McIntyre instability

KW - Centrifugal instability

KW - Couette-Taylor flow

KW - stratified flows

KW - temperature gradient

KW - viscosity

KW - diffusivity

KW - WKB approximation

M3 - Abstract

SP - 1

EP - 2

T2 - 23rd International Couette-Taylor Workshop - ICTW2025

Y2 - 14 July 2025 through 16 July 2025

ER -