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Axisymmetric and non-axisymmetric instability of an electrified viscous coaxial jet

Published online by Cambridge University Press:  27 July 2009

FANG LI ,
XIE-YUAN YIN  and
XIE-ZHEN YIN
FANG LI*
Affiliation:
Department of Modern Mechanics, University of Science and Technology of China, Hefei, Anhui 230027, People's Republic of China
XIE-YUAN YIN
Affiliation:
Department of Modern Mechanics, University of Science and Technology of China, Hefei, Anhui 230027, People's Republic of China
XIE-ZHEN YIN
Affiliation:
Department of Modern Mechanics, University of Science and Technology of China, Hefei, Anhui 230027, People's Republic of China
*
†Email address for correspondence: [email protected]
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Abstract

A linear study is carried out for the axisymmetric and non-axisymmetric instability of a viscous coaxial jet in a radial electric field. The outer liquid is considered to be a leaky dielectric and the inner a perfect dielectric. The generalized eigenvalue problem is solved and the growth rate of disturbance is obtained by using Chebyshev spectral collocation method. The effects of the radial electric field, liquid viscosity, surface tension as well as other parameters on the instability of the jet are investigated. The radial electric field is found to have a strong destabilizing effect on non-axisymmetric modes, especially those having smaller azimuthal wavenumbers. The helical mode becomes prevalent over other modes when the electric field is sufficiently large. Non-axisymmetric modes with high azimuthal wavenumbers may be the most unstable at zero wavenumber. Liquid viscosity has a strong stabilizing effect on both the axisymmetric and non-axisymmetric instability. Relatively, the helical instability is less suppressed and therefore becomes predominant at high liquid viscosity. Surface tension promotes the instability of the para-sinuous mode and meanwhile suppresses the helical and the other non-axisymmetric modes in long wavelength region.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 632 , 10 August 2009 , pp. 199 - 225
Copyright
Copyright © Cambridge University Press 2009

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