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

Kumar Awasthi Mukesh, Vladimir D. Sarychev, Sergei A. Nevskii, Maxim A. Kuznetsov, Sergey A. Solodsky, Dmitriy A. Chinakhov, Maxim A. Krampit

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)86-96
Number of pages11
JournalJournal of Advanced Research in Dynamical and Control Systems
Volume11
Issue number5
Publication statusPublished - 1 Jan 2019

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Mass transfer
Heat transfer
Potential flow
Liquids
Vapors
Fluids
Geometry

Keywords

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

ASJC Scopus subject areas

  • Computer Science(all)
  • Engineering(all)

Cite this

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 journalArticle

Mukesh, Kumar Awasthi ; Sarychev, Vladimir D. ; Nevskii, Sergei A. ; Kuznetsov, Maxim A. ; Solodsky, Sergey A. ; Chinakhov, Dmitriy A. ; Krampit, Maxim A. / Kelvin-Helmholtz instability of swirling annular layer with heat and mass transfer. In: Journal of Advanced Research in Dynamical and Control Systems. 2019 ; Vol. 11, No. 5. pp. 86-96.
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AU - Solodsky, Sergey A.

AU - Chinakhov, Dmitriy A.

AU - Krampit, Maxim A.

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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.

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