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- W2081721539 endingPage "1954" @default.
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- W2081721539 abstract "Liquid motion is often observed when an electric field is applied to a dielectric liquid. An analysis of the steady cellular convection which results when charge is injected uniformly into the free surface of a film of an insulating liquid is discussed. The initial, steady-state current is space-charge-limited. The method of exchange of stabilities is assumed to be valid; velocity and potential perturbations on the initial steady state lead to a characteristic equation which determines the conditions for onset of instability. This characteristic equation is of the seventh order and has nonconstant coefficients. A numerical integration has been performed on the equation and the resulting solutions show that a critical potential exists above which convection will occur. The condition for instability is R = 99 = εV0/μη., where η is the dynamic coefficient of viscosity, μ is the charge carrier mobility, and ε is the permittivity. The dimensionless number R is analogous to the Rayleigh number in hydrodynamics. A numerical calculation of growth rate is given, at values near the critical voltage. Above V crit, positive growth rates are obtained, and below V crit the growth rates are negative." @default.
- W2081721539 created "2016-06-24" @default.
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- W2081721539 date "1970-08-01" @default.
- W2081721539 modified "2023-09-23" @default.
- W2081721539 title "Electrohydrodynamic Stability of Space-Charge-Limited Currents in Dielectric Liquids. I. Theoretical Study" @default.
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- W2081721539 doi "https://doi.org/10.1063/1.1693190" @default.
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