TY - JOUR
T1 - Linear stability of a two-fluid interface for electrohydrodynamic mixing in a channel
AU - Li, F.
AU - Ozen, O.
AU - Aubry, N.
AU - Papageorgiou, D. T.
AU - Petropoulos, P. G.
N1 - Funding Information:
We gratefully acknowledge the support of the New Jersey Commission on Science and Technology through the New-Jersey Center for Micro-Flow Control under Award Numbers 01-2042-007-25 and 05-2042-014-30. The work of D. T. P. was supported by the National Science Foundation Grant DMS-0072228. O. O. was also partially supported by an NJIT Presidential Initiative Fellowship.
PY - 2007
Y1 - 2007
N2 - We study the electrohydrodynamic stability of the interface between two superposed viscous fluids in a channel subjected to a normal electric field. The two fluids can have different densities, viscosities, permittivities and conductivities. The interface allows surface charges, and there exists an electrical tangential shear stress at the interface owing to the finite conductivities of the two fluids. The long-wave linear stability analysis is performed within the generic Orr-Sommerfeld framework for both perfect and leaky dielectrics. In the framework of the long-wave linear stability analysis, the wave speed is expressed in terms of the ratio of viscosities, densities, permittivities and conductivities of the two fluids. For perfect dielectrics, the electric field always has a destabilizing effect, whereas for leaky dielectrics, the electric field can have either a destabilizing or a stabilizing effect depending on the ratios of permittivities and conductivities of the two fluids. In addition, the linear stability analysis for all wavenumbers is carried out numerically using the Chebyshev spectral method, and the various types of neutral stability curves (NSC) obtained are discussed.
AB - We study the electrohydrodynamic stability of the interface between two superposed viscous fluids in a channel subjected to a normal electric field. The two fluids can have different densities, viscosities, permittivities and conductivities. The interface allows surface charges, and there exists an electrical tangential shear stress at the interface owing to the finite conductivities of the two fluids. The long-wave linear stability analysis is performed within the generic Orr-Sommerfeld framework for both perfect and leaky dielectrics. In the framework of the long-wave linear stability analysis, the wave speed is expressed in terms of the ratio of viscosities, densities, permittivities and conductivities of the two fluids. For perfect dielectrics, the electric field always has a destabilizing effect, whereas for leaky dielectrics, the electric field can have either a destabilizing or a stabilizing effect depending on the ratios of permittivities and conductivities of the two fluids. In addition, the linear stability analysis for all wavenumbers is carried out numerically using the Chebyshev spectral method, and the various types of neutral stability curves (NSC) obtained are discussed.
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U2 - 10.1017/S0022112007006222
DO - 10.1017/S0022112007006222
M3 - Article
AN - SCOPUS:34547458148
SN - 0022-1120
VL - 583
SP - 347
EP - 377
JO - Journal of Fluid Mechanics
JF - Journal of Fluid Mechanics
ER -