Moffatt eddies in electrohydrodynamics flows: numerical simulations and analyses

Electrohydrodynamics of viscous drops in strong electric fields: numerical simulations

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...

Visco-potential flows in electrohydrodynamics

In this study we consider the problem of the interface motion under the capillary–gravity and an external electric force. The infinitely deep fluid layer is assumed to be viscous, perfectly conducting and the flow to be incompressible. The weak viscous effects are introduced using the Helmholtz–Leray decomposition and the visco-potential flow approach. The electric charge distributions above an...

Moffatt-type flows in a trihedral cone

Modeling studies and numerical analyses of coupled PDEs system in electrohydrodynamics

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,...

Large numerical simulations of turbulent rotating flows

Scientific context Rotation, as measured by the Rossby number (the ratio of the rotation period to the eddy turn over time) is present in astroand geophysics. For example, the high Reynolds number large scales of atmospheric and oceanic flows are affected by the rotation of the Earth; the Rossby number Ro = U0/[L0Ω] for mid-latitude atmospheric synoptic scales is Ro ≈ 0.1 whereas in the solar c...