Stability of a viscous liquid jet in a high-frequency alternating electric field |
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| Authors: | E A Demekhin S V Polyanskikh |
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| Institution: | (1) Singpapore–MIT Alliance, 9 Engineering Drive 1, Singapore, Singapore, 117576;(2) Department of Physics, National University of Singapore, 2 Science Drive 3, Singapore, Singapore, 117542;(3) Center for Advanced Computations in Engineering Science (ACES), Department of Mechanical Engineering, National University of Singapore, 9 Engineering Drive 1, Singapore, Singapore, 117576;(4) Department of Pharmacy, National University of Singapore, 8 Science Drive 4, Singapore, Singapore, 117543;(5) Department of Electrical Engineering and Computer Science, Department of Biological Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139, USA;(6) Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139, USA |
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| Abstract: | The stability of a liquid electrolyte placed in a tangential electric field oscillating harmonically at high frequency is
considered assuming that the liquid is viscous and Newtonian. It is shown that, if the Peclet number calculated from the thickness
of the Debye layer is small, the problem can be solved separately for the electrodynamic part of the problem in the Debye
layer and for the hydrodynamic part of the problem in the jet. The linear stability of the trivial solution of the problem
is investigated. A dispersion relation is derived and used to study the effect of the amplitude and frequency of electric
field oscillations on the stability of the jet. It is shown that the presence of the external oscillating field has a stabilizing
effect on the jet. The basic stability regimes as functions of the control parameters of the problem and bifurcation changes
in the regimes are investigated. |
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