MODELING STUDIES AND NUMERICAL ANALYSES OF COUPLED PDES SYSTEM IN ELECTROHYDRODYNAMICS by Yuzhou Sun Dr. Pengtao Sun, Examination Committee Chair Associate Professor of Mathematics University of Nevada, Las Vegas, USA Electrohydrodynamics (EHD) is the term used for the hydrodynamics coupled with electrostatics, whose governing equations consist of the electrostatic potential (Poisson) equation,...

and Applied Analysis 3 Theorem 1.1. Let n0, p0 ∈ L1 R2 ∩ L logL R2 , n0, p0 ≥ 0 in R2, ∫ n0 dx ∫ p0 dx,∇φ0 ∈ L2, and u0 ∈ L2. Then there exists a unique weak solution u, n, p, φ to the problem 1.1 – 1.6 satisfying ( n, p ) ∈ L∞0, T ;L1 ∩ L logL ∩ L20, T ;L2 ∩ L4/30, T ;W1,4/3, n, p ≥ 0 in R2 × 0, T ( ∂tn, ∂tp ) ∈ L4/30, T ;W−1,4/3, ∇φ ∈ L∞0, T ;L2 ∩ L20, T ;H1 ∩ L40, T ;L4, u ∈ L∞0, T ;L2 ∩ L20...

Horizontal and vertical liquid bridges are simple and powerful tools for exploring the interaction of high intensity electric fields (8-20 kV/cm) and polar dielectric liquids. These bridges are unique from capillary bridges in that they exhibit extensibility beyond a few millimeters, have complex bi-directional mass transfer patterns, and emit non-Planck infrared radiation. A number of common s...

Weakly conducting dielectric liquid drops suspended in another dielectric liquid and subject to an applied uniform electric field exhibit a wide range of dynamical behaviours contingent on field strength and material properties. These phenomena are best described by the Melcher–Taylor leaky dielectric model, which hypothesizes charge accumulation on the drop–fluid interface and prescribes a bal...

In this study, a multiphysical description of fluid transport through osteo-articular porous media is presented. Adapted from the model of Moyne and Murad, which is intended to describe clayey materials behaviour, this multiscale modelling allows for the derivation of the macroscopic response of the tissue from microscopical information. First the model is described. At the pore scale, electroh...

Realistic boundaries of finite heat conductivity for thermoconvection in a Rayleigh-Bénard setup with magnetized ferrofluids are investigated. A linear stability analysis of the conductive state is performed with a shooting method. It shows that the critical wave number is for any magnetic field stronly influenced by the conductivity of the boundaries. Linear as well as nonlinear coefficients o...

As a part of a study of electrocoalescence of water droplets in oil, the electrically induced deformations of water-oil interfaces are studied. Cases of large deformations of the interfaces involve the strong coupling of hydrodynamics and electrostatics, in which cases numerical simulation is needed. The paper presents different numerical simulations performed using the commercial software COMS...

Fractures provide pathways for fluids and solutes through crystalline rocks low permeability materials, thus playing a key role in many subsurface processes applications. In small aperture fractures, solute transport is strongly impacted by the coupling of electrical double layers at mineral–fluid interfaces to bulk ion transport. Yet, most models flow fractures ignore these effects. Solving su...

Abstract