We present the hydrodynamic and electrohydrodynamic equations for uni-axial nematic liquid crystals and explain their derivation in detail. To derive hydrodynamic equations, which are valid for suuciently small frequencies in the limit of long wavelengths, one identiies rst the hydrodynamic variables , which come in two groups: quantities obeying conservation laws and variables associated with ...

The movement and behaviour of particles suspended in aqueous solutions subjected to non-uniform ac electric fields is examined. The ac electric fields induce movement of polarizable particles, a phenomenon known as dielectrophoresis. The high strength electric fields that are often used in separation systems can give rise to fluid motion, which in turn results in a viscous drag on the particle....

Abstract Electrohydrodynamics is crucial in many nanofluidic and biotechnological applications. In such small scales, the complexity due to coupling of fluid dynamics with ions increased by relevance thermal fluctuations. Here, we present a mesoscale method based on Dissipative Particle Dynamics (DPD) model fluid. Two scalar quantities, corresponding number positive negative carried each DPD pa...

We study numerically a sequence of eddies in two-dimensional electrohydrodynamics (EHD) flows dielectric liquid, driven by an electric potential difference between hyperbolic blade electrode and flat plate (or the blade–plate configuration). The electrically flow impinges on to generate vortices, which resemble Moffatt (Moffatt, J. Fluid Mech. , vol. 18, 1964, pp. 1–18). Such phenomenon EHD was...

We study the electrohydrodynamics of the Debye screening layer that arises in an aqueous binary solution near a planar insulating wall when applying a spatially modulated ac voltage. Combining this with first order perturbation theory we establish the governing equations for the full nonequilibrium problem and obtain analytic solutions in the bulk for the pressure and velocity fields of the ele...

Simultaneous energy transfer modes have been known to interact to produce unusual “coupled” effects. This coupling now has its theoretical basis in the concept of entropy production (or dissipation or irreversibility) central to nonequilibrium irreversible thermodynamics. Over the years, many examples of coupled phenomena have been identified and studied (thermoelectricity, electrokinetics, pie...

A three-dimensional numerical model of vesicle electrohydrodynamics in the presence of DC electric fields is presented. The vesicle membrane is modeled as a thin capacitive interface through the use of a semi-implicit, gradient-augmented level set jet scheme. The enclosed volume and surface area are conserved both locally and globally by a new Navier–Stokes projection method. The electric field...