In the present study, the deformation of a droplet is numerically modeled by considering the dynamic model for electric charge migration at the drop interface under the effect of a uniform electric field. The drop and its ambient are both considered behaving as leaky dielectric fluids. Solving the charge conservation equation at the interface, which is the most important part of this study, the effect of conduction and convection of charges on different deformation modes will be explored. In this work, the interface is followed by the level set method and the ghost fluid method (GFM) is used to model the jumps at the interface. Physical properties are also chosen in a way that solving the charge conservation equation becomes prominent. The small drop deformation is investigated qualitatively by changing various effective parameters. In cases, different patterns of charges and flows are observed indicating the importance of electric charges at the interface. It is also shown that the transient behavior of deformation parameter can be either a monotonic or a nonmonotonic approach toward the steady-state. Moreover, large drop deformations are studied in different ranges of capillary numbers. It will be shown that for the selected range of physical parameters, considering the dynamic model of electric charges strongly affects the oblate deformation. Nevertheless, for the prolate deformation, the results are approximately similar to those obtained from the static model.
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December 2018
Research-Article
On Importance of the Surface Charge Transport Equation in Numerical Simulation of Drop Deformation in a Direct Current Field
Mohammadali Alidoost,
Mohammadali Alidoost
Department of Mechanical Engineering,
Isfahan University of Technology,
Isfahan 8415683111, Iran
e-mail: alidoost.ma@gmail.com
Isfahan University of Technology,
Isfahan 8415683111, Iran
e-mail: alidoost.ma@gmail.com
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Ahmad Reza Pishevar
Ahmad Reza Pishevar
Department of Mechanical Engineering,
Isfahan University of Technology,
Isfahan 8415683111, Iran
e-mail: apishe@cc.iut.ac.ir
Isfahan University of Technology,
Isfahan 8415683111, Iran
e-mail: apishe@cc.iut.ac.ir
Search for other works by this author on:
Mohammadali Alidoost
Department of Mechanical Engineering,
Isfahan University of Technology,
Isfahan 8415683111, Iran
e-mail: alidoost.ma@gmail.com
Isfahan University of Technology,
Isfahan 8415683111, Iran
e-mail: alidoost.ma@gmail.com
Ahmad Reza Pishevar
Department of Mechanical Engineering,
Isfahan University of Technology,
Isfahan 8415683111, Iran
e-mail: apishe@cc.iut.ac.ir
Isfahan University of Technology,
Isfahan 8415683111, Iran
e-mail: apishe@cc.iut.ac.ir
Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received September 3, 2017; final manuscript received May 10, 2018; published online June 13, 2018. Assoc. Editor: Praveen Ramaprabhu.
J. Fluids Eng. Dec 2018, 140(12): 121201 (16 pages)
Published Online: June 13, 2018
Article history
Received:
September 3, 2017
Revised:
May 10, 2018
Citation
Alidoost, M., and Reza Pishevar, A. (June 13, 2018). "On Importance of the Surface Charge Transport Equation in Numerical Simulation of Drop Deformation in a Direct Current Field." ASME. J. Fluids Eng. December 2018; 140(12): 121201. https://doi.org/10.1115/1.4040301
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