Kelvin-Helmholtz instability of swirling annular layer with heat and mass transfer

Abstract

The linear Kelvin-Helmholtz instability in a cylindrical geometry with free swirl is examined.The physical framework comprises of liquid vapor in the inner region while outer region contains liquid. The interface permits heat and mass transfer between two fluid layers. We utilize viscous potential flow concept to study the viscous effects at the interface. To investigate the stability of interface, we use normal-mode technique and a quartic equation representing growth of disturbance waves has been derived. A critical value of relative velocity at the interface is calculated and it is shown that the system is stable if relative velocity is greater than the critical value of relative velocity. It is found that the swirling effect resists the growth of instability.

Original language	English
Pages (from-to)	86-96
Number of pages	11
Journal	Journal of Advanced Research in Dynamical and Control Systems
Volume	11
Issue number	5
Publication status	Published - 1 Jan 2019

Keywords

Coriolis force
Heat and mass transfer
Kelvin-Helmholtz instability
Swirl
Viscous flow theory

ASJC Scopus subject areas

Computer Science(all)
Engineering(all)

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Kelvin-Helmholtz instability of swirling annular layer with heat and mass transfer. / Mukesh, Kumar Awasthi; Sarychev, Vladimir D.; Nevskii, Sergei A.; Kuznetsov, Maxim A.; Solodsky, Sergey A.; Chinakhov, Dmitriy A.; Krampit, Maxim A.

In: Journal of Advanced Research in Dynamical and Control Systems, Vol. 11, No. 5, 01.01.2019, p. 86-96.

Research output: Contribution to journal › Article › peer-review

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title = "Kelvin-Helmholtz instability of swirling annular layer with heat and mass transfer",

abstract = "The linear Kelvin-Helmholtz instability in a cylindrical geometry with free swirl is examined.The physical framework comprises of liquid vapor in the inner region while outer region contains liquid. The interface permits heat and mass transfer between two fluid layers. We utilize viscous potential flow concept to study the viscous effects at the interface. To investigate the stability of interface, we use normal-mode technique and a quartic equation representing growth of disturbance waves has been derived. A critical value of relative velocity at the interface is calculated and it is shown that the system is stable if relative velocity is greater than the critical value of relative velocity. It is found that the swirling effect resists the growth of instability.",

keywords = "Coriolis force, Heat and mass transfer, Kelvin-Helmholtz instability, Swirl, Viscous flow theory",

author = "Mukesh, {Kumar Awasthi} and Sarychev, {Vladimir D.} and Nevskii, {Sergei A.} and Kuznetsov, {Maxim A.} and Solodsky, {Sergey A.} and Chinakhov, {Dmitriy A.} and Krampit, {Maxim A.}",

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T1 - Kelvin-Helmholtz instability of swirling annular layer with heat and mass transfer

AU - Mukesh, Kumar Awasthi

AU - Sarychev, Vladimir D.

AU - Nevskii, Sergei A.

AU - Kuznetsov, Maxim A.

AU - Solodsky, Sergey A.

AU - Chinakhov, Dmitriy A.

AU - Krampit, Maxim A.

PY - 2019/1/1

Y1 - 2019/1/1

N2 - The linear Kelvin-Helmholtz instability in a cylindrical geometry with free swirl is examined.The physical framework comprises of liquid vapor in the inner region while outer region contains liquid. The interface permits heat and mass transfer between two fluid layers. We utilize viscous potential flow concept to study the viscous effects at the interface. To investigate the stability of interface, we use normal-mode technique and a quartic equation representing growth of disturbance waves has been derived. A critical value of relative velocity at the interface is calculated and it is shown that the system is stable if relative velocity is greater than the critical value of relative velocity. It is found that the swirling effect resists the growth of instability.

AB - The linear Kelvin-Helmholtz instability in a cylindrical geometry with free swirl is examined.The physical framework comprises of liquid vapor in the inner region while outer region contains liquid. The interface permits heat and mass transfer between two fluid layers. We utilize viscous potential flow concept to study the viscous effects at the interface. To investigate the stability of interface, we use normal-mode technique and a quartic equation representing growth of disturbance waves has been derived. A critical value of relative velocity at the interface is calculated and it is shown that the system is stable if relative velocity is greater than the critical value of relative velocity. It is found that the swirling effect resists the growth of instability.

KW - Coriolis force

KW - Heat and mass transfer

KW - Kelvin-Helmholtz instability

KW - Swirl

KW - Viscous flow theory

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