scholarly journals Compound viscous thread with electrostatic and electrokinetic effects

2012 ◽  
Vol 701 ◽  
pp. 171-200 ◽  
Author(s):  
D. T. Conroy ◽  
O. K. Matar ◽  
R. V. Craster ◽  
D. T. Papageorgiou
Keyword(s):  
Electric Field ◽  
Fluid Viscosity ◽  
One Dimensional ◽  
The Core ◽  
Jet Breakup ◽  
Voltage Potential ◽  
Leaky Dielectric Model ◽  
Model Equations ◽  
The One ◽  
Wave Limit

AbstractBreakup of an electrified viscous compound jet, surrounded by a dielectric gas, is investigated theoretically. The fluids are considered to be electrolytes and the core fluid viscosity is assumed to be much larger than that of the annular fluid. Axisymmetric configurations are considered with the three fluids bound by a cylindrical electrode that is held at a constant voltage potential. The model equations are investigated asymptotically in the long-wave limit, yielding two cases corresponding to a negligible surface charge with electrokinetic effects and a leaky dielectric model. A linear stability analysis for both cases is performed and the electrical effects are found to have a stabilizing effect, which is consistent with previous investigations of single electrified jet breakup at small wavenumbers. The one-dimensional equations are also solved numerically. The electric field is found to cause satellite formation in the core fluid, which does not occur in the purely hydrodynamic case, with the satellite size increasing with the strength of the electric field.

A perturbation solution to the full Poisson–Nernst–Planck equations yields an asymmetric rectified electric field

Soft Matter ◽  
2020 ◽  
Vol 16 (30) ◽  
pp. 7052-7062
Author(s):  
S. M. H. Hashemi Amrei ◽  
Gregory H. Miller ◽  
Kyle J. M. Bishop ◽  
William D. Ristenpart
Keyword(s):  
Electric Field ◽  
Perturbation Solution ◽  
One Dimensional ◽  
Ionic Mobilities ◽  
The One

We derive a perturbation solution to the one-dimensional Poisson–Nernst–Planck (PNP) equations between parallel electrodes under oscillatory polarization for arbitrary ionic mobilities and valences.

Cadmium Sulfide and Zinc Sulfide Nanostructures Formed by Electrophoretic Deposition

2012 ◽  
Vol 507 ◽  
pp. 101-105 ◽  
Author(s):  
Alejandro Vázquez ◽  
Israel López ◽  
Idalia Gómez
Keyword(s):  
Thin Films ◽  
Electric Field ◽  
Cadmium Sulfide ◽  
Zinc Sulfide ◽  
Electrophoretic Deposition ◽  
Cds Nanoparticles ◽  
One Dimensional ◽  
Cds Thin Films ◽  
The One ◽  
One Dimensional Nanostructures

Cadmium sulfide (CdS) and zinc sulfide (ZnS) nanostructures were formed by means of electrophoretic deposition of nanoparticles with mean diameter of 6 nm and 20 nm, respectively. Nanoparticles were prepared by a microwave assisted synthesis in aqueous dispersion and electrophoretically deposited on aluminum plates. CdS thin films and ZnS one-dimensional nanostructures were grown on the negative electrodes after 24 hours of electrophoretic deposition at direct current voltage. CdS and ZnS nanostructures were characterized by means of scanning electron (SEM) and atomic force (AFM) microscopies analysis. CdS thin films homogeneity can be tunable varying the strength of the applied electric field. Deposition at low electric field produces thin films with particles aggregates, whereas deposition at relative high electric field produces smoothed thin films. The one-dimensional nanostructure size can be also controlled by the electric field strength. Two different mechanisms are considered in order to describe the formation of the nanostructures: lyosphere distortion and thinning and subsequent dipole-dipole interactions phenomena are proposed as a possible mechanism of the one-dimensional nanostructures, and a mechanism considering pre-deposition interactions of the CdS nanoparticles is proposed for the CdS thin films formation.

High-Fidelity Rendering of Contact With Virtual Objects

2015 ◽  
Vol 137 (7) ◽  
Author(s):  
Arash Mohtat ◽  
József Kövecses
Keyword(s):  
Contact Force ◽  
Constitutive Relations ◽  
Sampling Rate ◽  
Smooth Transition ◽  
Virtual Object ◽  
High Fidelity ◽  
Unified Approach ◽  
One Dimensional ◽  
The Core ◽  
The One

When interacting with a virtual object (VO) through a haptic device, it is crucial to feedback a contact force to the human operator (HO) that displays the VO physical properties with high fidelity. The core challenge, here, is to expand the renderable range of these properties, including larger stiffness and smaller inertia, at the available sampling rate. To address this challenge, a framework entitled high-fidelity contact rendering (HFCR) has been developed in this paper. The framework consists of three main strategies: an energy-based rendering of the contact force, smooth transition (ST) between contact modes, and remaining leak dissipation (LD). The essence of these strategies is to make the VO emulate its continuous-time counterpart. This is achieved via physically meaningful modifications in the constitutive relations to suppress artificial energy leaks. The strategies are first developed for the one-dimensional (1D) canonical VO; then, generalization to the multivariable case is discussed. Renderability has been analyzed exploring different stability criteria within a unified approach. This leads to stability charts and identification of renderable range of properties in the presence and absence of the HO. The framework has been validated through simulation and various experiments. Results verify its promising aspects for various scenarios including sustained contact and sudden collision events with or without the HO.

scholarly journals NUMERICAL ANALYSIS OF THE LEVERETT FUNCTION FORM INFLUENCE FOR THE RAPPOPORT - LEAS EQUATION SOLUTIONS

2018 ◽  
pp. 81-88
Author(s):  
I. G. Telegin ◽  
O. B. Bocharov
Keyword(s):  
Relative Phase ◽  
Radial Flow ◽  
Water Saturation ◽  
Capillary Forces ◽  
Immiscible Liquids ◽  
Deformable Porous Medium ◽  
One Dimensional ◽  
Isothermal Case ◽  
Model Equations ◽  
The One

The article deals with the classical mathematical model of filtration of two immiscible liquids in a non-deformable porous medium taking into account capillary forces. It is the Muskat - Leverett model. The model is based on the experimentally determined functions of water saturation - relative phase permeability and the Leverett’s function of capillary pressure. In the article we study numerically the one-dimensional radial flow with a given flow rate of the mixture. In this case, the Muskat - Leverett model equations are reduced to one quasilinear hyperbolic-parabolic equation for water saturation - Rappoport-Leas equation. The article investigates the influence of the representation of capillary forces in porous media of different structures on the behavior of solutions in the isothermal case.

A Simulation System for Diffusive Oxidation of Silicon:One-Dimensional Analysis

1991 ◽  
Vol 46 (11) ◽  
pp. 955-966 ◽  
Author(s):  
Ulrich Weinert ◽  
Ernst Rank
Keyword(s):  
Thermal Oxidation ◽  
Silicon Oxide ◽  
Simulation System ◽  
One Dimensional ◽  
Pure Silicon ◽  
Diffusive Interface ◽  
Model Equations ◽  
The One ◽  
Sharp Interfaces ◽  
Silicon Silicon

AbstractThermal oxidation of silicon is described as a three-component thermodynamic local process involving silicon, silicon oxide, and oxygen molecules. A simplified system of model equations is used to demonstrate the evoluton of the Si-SiO2 interface. For the one-dimensional case the equivalence with the model of Deal and Grove could be shown analytically. For that purpose effective interface coordinates have been introduced which establish the connection between the conventional concept of sharp interfaces and our "diffusive" interface, i.e., a transition region between pure silicon and pure silicon oxide.

Exact damped sinusoidal electric field of nonlinear one-dimensional Vlasov-Maxwell equations

1984 ◽  
Vol 32 (2) ◽  
pp. 197-205 ◽  
Author(s):  
B. Abraham-Shrauner
Keyword(s):  
Distribution Function ◽  
Electric Field ◽  
Maxwell Equations ◽  
Angular Frequency ◽  
Wave Number ◽  
One Dimensional ◽  
Damping Decrement ◽  
Sinusoidal Electric Field ◽  
The One ◽  
Special Case

An exact solution for a temporally damped sinusoidal electric field which obeys the nonlinear, one-dimensional Vlasov-Maxwell equations is given. The electric field is a generalization of the O'Neil model electric field for Landau damping of plasma oscillations. The electric field is a special case of the form found from the invariance of the one-dimensional Vlasov equation under infinitesimal Lie group transformations. The time dependences of the damping decrement, of the wave-number and of the angular frequency are derived. Use of a time-dependent BGK one-particle distribution function is justified for weak damping where, in general, it is necessary to carry out a numerical calculation of the invariant of which the distribution function is a functional.

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