Mathematical Modeling of Charged Liquid Droplets: Numerical Simulation and Stability Analysis

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Description

The goal of this thesis is to study of the evolution of 3D electrically charged liquid droplets of fluid evolving under the influence of surface tension and electrostatic forces. In the first part of the thesis, an appropriate mathematical model of the problem is introduced and the linear stability analysis is developed by perturbing a sphere with spherical harmonics. In the second part, the numerical solution of the problem is described with the use of the boundary elements method (BEM) on an adaptive mesh of triangular elements. The numerical method is validated by comparison with exact solutions. Finally, various numerical ... continued below

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Vantzos, Orestis May 2006.

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This thesis is part of the collection entitled: UNT Theses and Dissertations and was provided by UNT Libraries to Digital Library, a digital repository hosted by the UNT Libraries. It has been viewed 561 times , with 7 in the last month . More information about this thesis can be viewed below.

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  • Vantzos, Orestis

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Description

The goal of this thesis is to study of the evolution of 3D electrically charged liquid droplets of fluid evolving under the influence of surface tension and electrostatic forces. In the first part of the thesis, an appropriate mathematical model of the problem is introduced and the linear stability analysis is developed by perturbing a sphere with spherical harmonics. In the second part, the numerical solution of the problem is described with the use of the boundary elements method (BEM) on an adaptive mesh of triangular elements. The numerical method is validated by comparison with exact solutions. Finally, various numerical results are presented. These include neck formation in droplets, the evolution of surfaces with holes, singularity formation on droplets with various symmetries and numerical evidence that oblate spheroids are unstable.

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  • May 2006

Added to The UNT Digital Library

  • May 5, 2008, 2:08 p.m.

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  • Dec. 16, 2008, 10:13 a.m.

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Citations, Rights, Re-Use

Vantzos, Orestis. Mathematical Modeling of Charged Liquid Droplets: Numerical Simulation and Stability Analysis, thesis, May 2006; Denton, Texas. (digital.library.unt.edu/ark:/67531/metadc5240/: accessed October 21, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; .