Numerical analysis of electrohydrodynamic instability in dielectric-liquid–gas flows subjected to unipolar injection

Liu, Qiang; Pérez, Alberto T.; Selvakumar, R. Deepak; Yang, Pengfei; Wu, Jian

doi:10.1103/physreve.104.065109

Cited by 4 publications

(1 citation statement)

References 62 publications

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“…Numerical simulations for a liquid–air interface destabilized by a vertical electric field and a gravitational field were conducted in Liu et al. (2021), in which the charge transport and the flow pattern were systematically investigated. Experimentally, the continuum feedback control of a stable RT-type interface was demonstrated by Melcher & Warren (1966).…”

Section: Introductionmentioning

confidence: 99%

On the nonlinear behaviour of the Rayleigh–Taylor instability with a tangential electric field for inviscid and perfect dielectric fluids

Guo

Zhang

2023

J. Fluid Mech.

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Fluid interfacial instability induced by gravity or external acceleration, known as the Rayleigh–Taylor instability, plays an important role in both scientific research and industrial application. How to control this instability is challenging. Researchers have been actively exploring the suppression method of applying electric fields parallel to dielectric fluid interfaces. The instability is characterized by the penetration of fingers at the interface. The velocities at the finger tips are the most important quantities since they characterize how fast the penetration occurs. The dynamics of the fingers is nonlinear. We present a nonlinear perturbation procedure for determining the amplitude and velocity of fingers at a Rayleigh–Taylor unstable interface between two incompressible, inviscid, immiscible and perfectly dielectric fluids in the presence of a horizontal electric field in two dimensions. The analytic formulas are displayed explicitly up to the third order of the initial disturbance. The comparison with the data from numerical simulations based on the vortex sheet method shows the theoretical formulas can capture well the nonlinear behaviour of the fingers. It is known that the interplay between the electric field and the fluids can lead to the suppression of interfacial instability. We further analyse the electrical force along the interface and show how this force leads to the instability suppression in our setting. It has been reported numerically in the literature that switching the electric permittivities of the fluids leads to quantitative differences in finger velocity. We show theoretically this phenomenon can only be explained by the nonlinear behaviour of the system.

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Section: Introductionmentioning

confidence: 99%

On the nonlinear behaviour of the Rayleigh–Taylor instability with a tangential electric field for inviscid and perfect dielectric fluids

Guo

Zhang

2023

J. Fluid Mech.

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Computational ElectroHydroDynamics in microsystems: A Review of Challenges and Applications

Narváez-Muñoz,

Hashemi,

Hashemi

et al. 2024

Arch Computat Methods Eng

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Investigation of the role of charge injection and Coulomb force during the melting of phase-change materials under constant temperature boundary conditions

Hassan,

Cotton

2024

Physics of Fluids

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This paper presents an investigation of the melting of dielectric material in a rectangular cavity under the effect of electrohydrodynamics (EHD). First, phase-change modeling is implemented to simulate the melting performance of paraffin wax without EHD under constant temperature boundary conditions until a steady-state condition is achieved. Next, the whole set of coupled EHD equations is introduced to the model, with the Coulomb force using a Heaviside function for charge injection being the only electrical body force considered. Finally, the numerical model is implemented using the finite element method to solve for the electric field, flow field, temperature field, and charge transport. The numerical results show that, under the effect of EHD, melting continues due to the generation of electroconvection cells in the liquid phase-change material and the flow field manifests as two symmetric rotational cells generated between every two successive electrodes. The flow field causes the redistribution of the temperature field in the liquid bulk, which enhances the heat transfer. Melting continues until a steady-state condition is almost reestablished after about one hour. The enhancement factor, defined as the ratio of the EHD melt thickness to the steady-state melt thickness without EHD, is 2.33 at 6 kV applied voltage.

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Numerical analysis of electrohydrodynamic instability in dielectric-liquid–gas flows subjected to unipolar injection

Cited by 4 publications

References 62 publications

On the nonlinear behaviour of the Rayleigh–Taylor instability with a tangential electric field for inviscid and perfect dielectric fluids

On the nonlinear behaviour of the Rayleigh–Taylor instability with a tangential electric field for inviscid and perfect dielectric fluids

Computational ElectroHydroDynamics in microsystems: A Review of Challenges and Applications

Investigation of the role of charge injection and Coulomb force during the melting of phase-change materials under constant temperature boundary conditions

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