Electrohydrodynamic linear stability of two immiscible fluids in channel flow

O. Ozen; N. Aubry; D. T. Papageorgiou; P. G. Petropoulos

doi:10.1016/j.electacta.2006.02.002

Electrohydrodynamic linear stability of two immiscible fluids in channel flow

O. Ozen, N. Aubry, D. T. Papageorgiou, P. G. Petropoulos

Mathematical Sciences

New Jersey Institute of Technology

Research output: Contribution to journal › Article › peer-review

53 Scopus citations

Abstract

The electrohydrodynamic instability of the interface between two viscous fluids with different electrical properties in plane Poiseuille flow has recently found applications in mixing and droplet formation in microfluidic devices. In this paper, we perform the stability analysis in the case where the fluids are assumed to be leaky dielectrics. The two-layer system is subjected to an electric field normal to the interface between the two fluids. We make no assumption on the magnitude of the ratio of fluid to electric time scales, and thus solve the full conservation equation for the interfacial charge. The electric field is found to be either stabilizing or destabilizing, and the influence of the various parameters of the problem on the interface stability is thoroughly analyzed.

Original language	American English
Pages (from-to)	5316-5323
Number of pages	8
Journal	Electrochimica Acta
Volume	51
Issue number	25
DOIs	https://doi.org/10.1016/j.electacta.2006.02.002
State	Published - Jul 28 2006

ASJC Scopus subject areas

General Chemical Engineering
Electrochemistry

Keywords

Electrohydrodynamics
Linear instability
Microfluidics
Pattern formation
Two-fluid Poiseuille flow

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10.1016/j.electacta.2006.02.002

Cite this

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title = "Electrohydrodynamic linear stability of two immiscible fluids in channel flow",

abstract = "The electrohydrodynamic instability of the interface between two viscous fluids with different electrical properties in plane Poiseuille flow has recently found applications in mixing and droplet formation in microfluidic devices. In this paper, we perform the stability analysis in the case where the fluids are assumed to be leaky dielectrics. The two-layer system is subjected to an electric field normal to the interface between the two fluids. We make no assumption on the magnitude of the ratio of fluid to electric time scales, and thus solve the full conservation equation for the interfacial charge. The electric field is found to be either stabilizing or destabilizing, and the influence of the various parameters of the problem on the interface stability is thoroughly analyzed.",

keywords = "Electrohydrodynamics, Linear instability, Microfluidics, Pattern formation, Two-fluid Poiseuille flow",

author = "O. Ozen and N. Aubry and Papageorgiou, {D. T.} and Petropoulos, {P. G.}",

note = "Funding Information: This work was partially supported by the New Jersey Commission on Science and Technology through the Center for Micro-Flow Control.",

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T1 - Electrohydrodynamic linear stability of two immiscible fluids in channel flow

AU - Ozen, O.

AU - Aubry, N.

AU - Papageorgiou, D. T.

AU - Petropoulos, P. G.

N1 - Funding Information: This work was partially supported by the New Jersey Commission on Science and Technology through the Center for Micro-Flow Control.

PY - 2006/7/28

Y1 - 2006/7/28

N2 - The electrohydrodynamic instability of the interface between two viscous fluids with different electrical properties in plane Poiseuille flow has recently found applications in mixing and droplet formation in microfluidic devices. In this paper, we perform the stability analysis in the case where the fluids are assumed to be leaky dielectrics. The two-layer system is subjected to an electric field normal to the interface between the two fluids. We make no assumption on the magnitude of the ratio of fluid to electric time scales, and thus solve the full conservation equation for the interfacial charge. The electric field is found to be either stabilizing or destabilizing, and the influence of the various parameters of the problem on the interface stability is thoroughly analyzed.

AB - The electrohydrodynamic instability of the interface between two viscous fluids with different electrical properties in plane Poiseuille flow has recently found applications in mixing and droplet formation in microfluidic devices. In this paper, we perform the stability analysis in the case where the fluids are assumed to be leaky dielectrics. The two-layer system is subjected to an electric field normal to the interface between the two fluids. We make no assumption on the magnitude of the ratio of fluid to electric time scales, and thus solve the full conservation equation for the interfacial charge. The electric field is found to be either stabilizing or destabilizing, and the influence of the various parameters of the problem on the interface stability is thoroughly analyzed.

KW - Electrohydrodynamics

KW - Linear instability

KW - Microfluidics

KW - Pattern formation

KW - Two-fluid Poiseuille flow

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EP - 5323

JO - Electrochimica Acta

JF - Electrochimica Acta

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ER -

Electrohydrodynamic linear stability of two immiscible fluids in channel flow

Abstract

ASJC Scopus subject areas

Keywords

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