1969
DOI: 10.1063/1.1692556
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Electrohydrodynamic Charge Relaxation and Interfacial Perpendicular-Field Instability

Abstract: The small-amplitude motions of a plane interface between two fluids stressed by an initially perpendicular electric field are investigated. The fluids are modeled as Ohmic conductors and the convection of the surface charge caused by the dynamic interplay of interfacial electric shear stresses and the viscous stresses is highlighted. The influence of viscosity on instability growth rates in the zero-shear stress limits of perfectly conducting and perfectly insulating interfaces is described and compared to cas… Show more

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Cited by 178 publications
(114 citation statements)
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“…In studies on EHD instabilities limited to problems without space charge, 3 the zero shear stress dynamics appears in two limits: perfect conducting ͑zero tangent electric field͒ and perfect insulating interfaces ͑zero surface free charge͒. These two limiting cases are valid as well in the analogous problems with space charge injection.…”
Section: Liquid-liquid Interfacementioning
confidence: 91%
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“…In studies on EHD instabilities limited to problems without space charge, 3 the zero shear stress dynamics appears in two limits: perfect conducting ͑zero tangent electric field͒ and perfect insulating interfaces ͑zero surface free charge͒. These two limiting cases are valid as well in the analogous problems with space charge injection.…”
Section: Liquid-liquid Interfacementioning
confidence: 91%
“…We recall that, in such a low conducting liquid in contact with air, it is not possible to find perpendicular-field EHD instabilities at so low electric potentials if it is not by applying a charge injection. 3 …”
Section: E Comparison Between Theoretical and Experimental Critical mentioning
confidence: 99%
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“…Interfacial electrohydrodynamic instabilities have been the object of classical studies in electrohydrodynamics, like those of Taylor and McEwan 8 or Melcher and Smith, 9 and they are reviewed in the book by Melcher. 10 However, in all these works the conduction regime is considered to be Ohmic.…”
Section: Introductionmentioning
confidence: 99%