Numerical simulation of drop deformations and breakup modes caused by direct current electric fields

Paknemat, H.; Pishevar, Ahmadreza; Pournaderi, P.

doi:10.1063/1.4754737

Cited by 58 publications

(27 citation statements)

References 37 publications

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“…27 Moreover, charges in the leaky dielectric fluid only accumulate at the interface, which can be considered as a boundary effect, modifying the external electric field. 27,28 Therefore, for a leaky dielectric fluid system, the governing equation is reduced to the simple electric current continuity law and can be represented as follows: electric current at the interface. It is also used as a boundary condition to solve the equation for the electric current equation.…”

Section: Ent E0mentioning

confidence: 99%

Numerical and experimental study on the steady cone-jet mode of electro-centrifugal spinning

et al. 2018

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This study focuses on a numerical investigation of an initial stable jet through the air-sealed electrocentrifugal spinning process, which is known as a viable method for the mass production of nanofibers. A liquid jet undergoing electric and centrifugal forces, as well as other forces, first travels in a stable trajectory and then goes through an unstable curled path to the collector. In numerical modeling, hydrodynamic equations have been solved using the perturbation method-and the boundary integral method has been implemented to efficiently solve the electric potential equation. Hydrodynamic equations have been coupled with the electric field using stress boundary conditions at the fluid-fluid interface. Perturbation equations were discretized by a second order finite difference method, and the Newton method was implemented to solve the discretized non-linear system. Also, the boundary element method was utilized to solve electrostatic equations. In the theoretical study, the fluid was described as a leaky dielectric with charges only on the surface of the jet traveling in dielectric air. The effect of the electric field induced around the nozzle tip on the jet instability and trajectory deviation was also experimentally studied through plate-plate geometry as well as point-plate geometry. It was numerically found that the centrifugal force prevails on electric force by increasing the rotational speed. Therefore, the alteration of the applied voltage does not significantly affect the jet thinning profile or the jet trajectory. Published by AIP Publishing. https://doi

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Section: Ent E0mentioning

confidence: 99%

Numerical and experimental study on the steady cone-jet mode of electro-centrifugal spinning

et al. 2018

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“…Hence, the electric force will be a boundary term and the induced current will be formed only by the application of boundary conditions on the interface. 26 Saville 25 has expressed the jump condition of normal and tangential Maxwell electric stresses at the interface as presented in the following equations:…”

Section: Introductionmentioning

confidence: 99%

Numerical and experimental investigation on static electric charge model at stable cone-jet region

et al. 2018

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In a typical electro-spinning process, the steady stretching process of the jet beyond the Taylor cone has a significant effect on the dimensions of resulting nanofibers. Also, it sets up the conditions for the onset of the bending instability. The focus of this work is the modeling and simulation of the initial stable jet phase seen during the electro-spinning process. The perturbation method was applied to solve hydrodynamic equations, and the electrostatic equation was solved by a boundary integral method. These equations were coupled with the stress boundary conditions derived appropriate at the fluid-fluid interface. Perturbation equations were discretized by the second-order finite difference method, and the Newton method was implemented to solve the discretized nonlinear system. Also, the boundary element method was utilized to solve the electrostatic equation. In the theoretical study, the fluid is described as a leaky dielectric with charges only on the jet surface in dielectric air. In this study, electric charges were modeled as static. Comparison of numerical and experimental results shows that at low flow rates and high electric field, good agreement was achieved because of the superior importance of the charge transport by conduction rather than convection and charge concentration. In addition, the effect of unevenness of the electric field around the nozzle tip was experimentally studied through plate-plate geometry as well as point-plate geometry.

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“…For example, the boundary integral method [7,17,38] cannot be easily extended to different configurations such as solving the full Navier-Stokes equations, or accounting for charge effects in the bulk fluid. Sharp methods such as the ghost-fluid method [33,35] are generally first-order accurate. Tomar et al [41] used the volume of fluid (VOF) method, where jumps in electrical and fluid properties across the drop interface are smoothed out in a transition region around the moving interface.…”

Section: Introductionmentioning

confidence: 99%

An Immersed Interface Method for Axisymmetric Electrohydrodynamic Simulations in Stokes flow

Nganguia

Young

et al. 2015

Commun. Comput. Phys.

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A numerical scheme based on the immersed interface method (IIM) is developed to simulate the dynamics of an axisymmetric viscous drop under an electric field. In this work, the IIM is used to solve both the fluid velocity field and the electric potential field. Detailed numerical studies on the numerical scheme show a second-order convergence. Moreover, our numerical scheme is validated by the good agreement with previous analytical models [1,31,39], and numerical results from the boundary integral simulations [17]. Our method can be extended to Navier-Stokes fluid flow with nonlinear inertia effects.

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Numerical simulation of drop deformations and breakup modes caused by direct current electric fields

Cited by 58 publications

References 37 publications

Numerical and experimental study on the steady cone-jet mode of electro-centrifugal spinning

Numerical and experimental study on the steady cone-jet mode of electro-centrifugal spinning

Numerical and experimental investigation on static electric charge model at stable cone-jet region

An Immersed Interface Method for Axisymmetric Electrohydrodynamic Simulations in Stokes flow

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