Electrified liquid jets subjected to electrical destabilizing mechanisms often deform asymmetrically, creating an uncontrollable random motion that prevents the formation of uniform drops or organized microstructures. Employing a magnetic field is a potentially effective method of inhibiting the onset of unstable motion. This paper develops a theoretical model to investigate the effect of an axial magnetic field on the instability of a charged liquid jet. To demonstrate the stabilizing ability of this approach, this study uses temporal linear stability analysis to manifest the magnetic effect in various parameter domains including the Rayleigh regime, the atomization zone, and the bending instability for a viscous jet. Results show that the magnetic force induced by the motion of charged surface is insignificant in comparison with the electric force and does not have effect on the instability of a dielectric liquid jet. However, for a liquid with high electrical conductivity, the Lorentz force induced by a conducting current becomes significant, suppressing destabilizing mechanisms and substantially improving jet stability. In the atomization zone, the effect of magnetic inhibition is relatively limited because the imposed axial magnetic field does not affect long-wave nonaxisymmetric disturbances.
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April 2010
Research Article|
April 29 2010
Electrohydrodynamic instability of a charged liquid jet in the presence of an axial magnetic field
An-Cheng Ruo;
An-Cheng Ruo
1Institute of Applied Mechanics,
National Taiwan University
, Taipei 106, Taiwan
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Min-Hsing Chang;
Min-Hsing Chang
2Department of Mechanical Engineering,
Tatung University
, Taipei 104, Taiwan
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Falin Chen
Falin Chen
a)
1Institute of Applied Mechanics,
National Taiwan University
, Taipei 106, Taiwan
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a)
Author to whom correspondence should be addressed. Electronic mail: [email protected].
Physics of Fluids 22, 044102 (2010)
Article history
Received:
October 02 2009
Accepted:
March 11 2010
Citation
An-Cheng Ruo, Min-Hsing Chang, Falin Chen; Electrohydrodynamic instability of a charged liquid jet in the presence of an axial magnetic field. Physics of Fluids 1 April 2010; 22 (4): 044102. https://doi.org/10.1063/1.3419156
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