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Liquid dielectric
About: Liquid dielectric is a research topic. Over the lifetime, 3702 publications have been published within this topic receiving 45150 citations.
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TL;DR: In this article, the effect of axial magnetic fields on the instability of a charged liquid jet was investigated in the Rayleigh regime, the atomization zone, and the bending instability for a viscous jet.
Abstract: Electrified liquid jets subjected to electrical destabilizing mechanisms often deform asymmetrically, creating an uncontrollable random motion that prevents the formation of uniform drops or organized microstructures. Employing a magnetic field is a potentially effective method of inhibiting the onset of unstable motion. This paper develops a theoretical model to investigate the effect of an axial magnetic field on the instability of a charged liquid jet. To demonstrate the stabilizing ability of this approach, this study uses temporal linear stability analysis to manifest the magnetic effect in various parameter domains including the Rayleigh regime, the atomization zone, and the bending instability for a viscous jet. Results show that the magnetic force induced by the motion of charged surface is insignificant in comparison with the electric force and does not have effect on the instability of a dielectric liquid jet. However, for a liquid with high electrical conductivity, the Lorentz force induced by a conducting current becomes significant, suppressing destabilizing mechanisms and substantially improving jet stability. In the atomization zone, the effect of magnetic inhibition is relatively limited because the imposed axial magnetic field does not affect long-wave nonaxisymmetric disturbances.
16 citations
TL;DR: The Kelvin-Helmholtz problem of viscous fluids under the influence of a normal periodic electric field in the absence of surface charges is studied and it is found that the uniform normal electric field plays a dual role in the stability criteria.
16 citations
TL;DR: In this paper, a numerical solution of the partial differential equation that describes the relative displacement of two oppositely charged ions in a dielectric liquid due to both the mutual field and the diffusion is presented.
16 citations
16 citations
TL;DR: Simulation and analytical theory suggest that the commonly applied Onsager formula for the reaction field is approached from below, with increasing cavity size, by the microscopic solution, but the cavity and directing fields do not converge to the limit of Maxwell's dielectric.
Abstract: We present the results of an analytical theory and numerical simulations of microscopic fields in dipolar liquids. Fields within empty spherical cavities (cavity field) and within cavities with a probe dipole (directing field) and the field induced by a probe dipole in the surrounding liquid (reaction field) are considered. Instead of demanding the field produced by a liquid dielectric in a large-scale cavity to coincide with the field of Maxwell's dielectric, we continuously increase the cavity size to reach the limit of a mesoscopic dimension and establish the continuum limit from the bottom up. Both simulations and analytical theory suggest that the commonly applied Onsager formula for the reaction field is approached from below, with increasing cavity size, by the microscopic solution. On the contrary, the cavity and directing fields do not converge to the limit of Maxwell's dielectric. The origin of the disagreement between the standard electrostatics and the results obtained from microscopic models is traced back to the failure of the former to account properly for the transverse correlations between dipoles in molecular liquids. A new continuum equation is derived for the cavity field and supported by numerical simulations. Experimental tests of the theoretical results are suggested.
16 citations