Simulation of space charge in unbounded geometries

Elmoursi, Alaa A.; Speck, Carlton E.

doi:10.1109/28.54267

Cited by 24 publications

(9 citation statements)

References 13 publications

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“…Several techniques had been earlier suggested to compute the corona discharges governing equations for different geometries [7][8][9][10][11][12]. The combined technique of the Method of Characteristics and the Charge Simulation Method (MOC/CSM) is implemented to solve the corona problem of the dual electrode configuration given by Equation (3)(4)(5).…”

Section: Ionized Electric Field Calculation (Moc/csm)mentioning

confidence: 99%

“…CSM is used to solve Equation (3) and (4), while MOC is implemented to solve Equation (5). Both problems are solved iteratively until the solution of the system of equations is reached [11]. The techniques' goal is to perform a self-consistent solution of the electric field and the space charge distribution.…”

Section: Ionized Electric Field Calculation (Moc/csm)mentioning

confidence: 99%

“…Several analytical techniques have been applied by using different numerical models for such situations based on techniques such as the charge simulation method (CSM), finite differences (FDM), finite element (FEM), and the integrated method of finite element and the method of characteristics (MOC) [7][8][9][10][11][12]. Although various computational tools are developed for electric field calculations, none of them is mutable enough to be employed for the analysis of more complicated electric field configurations.…”

Section: Introductionmentioning

confidence: 99%

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Investigations of Electrostatic and Ionized Fields Analysis for Dual-Electrode System

Abouelatta

Salama

Omar

et al. 2016

IJEECS

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The paper presents the computation and measurement of electric field, in both electrostatic as well as ionized case, for dual electrode system intended for electrostatic applications. The Keywords: corona discharge, dual electrode system, linear biased probe, electric field.Copyright © 2016 Institute of Advanced Engineering and Science. All rights reserved. IntroductionThe corona discharge employed in electrostatic approaches is useful in many applications such as dust precipitation, powder spraying, or granular mixtures separation by utilizing the electric forces exerted on such charged particles [1][2][3][4][5][6]. The region in which the electric forces act is widening by using a non-ionizing electrode with an ionizing electrode, dual electrode, resulting in the so called the corona-electrostatic field [7]. Several types and shapes of electrodes have been carried out experimentally to study these corona electrostatic fields, but they were very complex and expensive due to the presence of many parameters involving such fields [3,4]. Besides, there was another trend to simulate the phenomena of corona charging and particle motion in electric fields in the presence of space charge by numerical model [4][5][6][7].Accurate calculations and measurements of such fields are one of the major problems facing the designers of such electrostatic applications. Several analytical techniques have been applied by using different numerical models for such situations based on techniques such as the charge simulation method (CSM), finite differences (FDM), finite element (FEM), and the integrated method of finite element and the method of characteristics (MOC) [7][8][9][10][11][12]. Although various computational tools are developed for electric field calculations, none of them is mutable enough to be employed for the analysis of more complicated electric field configurations.Many experiments had been carried out to measure the electric field in the presence of the ionic space charge field, but they are very complicated to get accurate measurements. The biased current probe is one of the procedures to measure the ionized electric field introduced by Tassiker [13] and then developed by selim and waters [14]. It consists of a linear biased probe and a rectangular collecting plate surrounded by a bias plates at voltage V b . The operation of the linear biased probe is as follows [15]:1. During corona discharge, the collector probe collects the current resulting from this discharge (I o ) when no bias voltage is applied to the bias plates.2. This current (I o ) is reduced to I when the bias voltage V b is applied to bias plates such that it produces a biased field that opposes the original unknown field E, so:

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Section: Ionized Electric Field Calculation (Moc/csm)mentioning

confidence: 99%

Section: Ionized Electric Field Calculation (Moc/csm)mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Investigations of Electrostatic and Ionized Fields Analysis for Dual-Electrode System

Abouelatta

Salama

Omar

et al. 2016

IJEECS

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“…Other ways of determining the charge density by considering the discharge phenomenon have also been considered [1]. There was also a particular approach modifying the charge density on the injecting electrode in order to obtain a computed current equal to the measured one [9]. For the problem considered here, we use the most satisfying boundary condition concerning the charge density on the injector, i.e.…”

Section: Introductionmentioning

confidence: 99%

“…This introduces a numerical diffusion which can be most detrimental in the case of a needle or a blade as injecting electrode [8,9], because of the strong gradients in the charge distribution resulting from the peculiarities of corona discharges on such injecting electrodes. We focus here on a much more accurate numerical technique to solve the problem; this technique consists in redefining the mesh at each iteration step.…”

Section: Introductionmentioning

confidence: 99%

Numerical solution of the corona discharge problem based on mesh redefinition and test for a charge injection law

Khaddour

Atten

Coulomb

2008

Journal of Electrostatics

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Numerical Study of the Effect of Particle Size on the Coating Efficiency and Uniformity of an Electrostatic Powder Coating Process

Li¹,

Zhang²,

Zhu³

2008

Can. J. Chem. Eng.

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C ompared to the traditional liquid coating technology, powder coating eliminates the problem associated with solvent emission, reduces the extra cost of solvent and allows easy recycle of over sprayed powder. It is a more environmentally friendly and also more economical process. Traditionally, powder coating has been mainly applied to parts where the surface fi nish quality is not critical, so that relatively larger (35 to 60µm) powders can be used. This is because smaller powders tend to agglomerate and lead to fl ow problems. In the past decade, however, there have been strong efforts to apply powder coating to new markets where powder coating has not been typically used-such as automotive clear top coatings, can and coil coatings, and coatings on high-end products (Misev and van der Linde, 1998). To ensure the quality of coating fi nish, fi ner powders must be used to avoid obvious orange feel on the coating surface. Finer particles, if applied properly, can produce much more uniform coatings that results in superb coating fi nish that cannot be achieved by regular-sized (35 to 60 µm) coating powder (Zhu and Zhang, 2004).As charged particles are conveyed out from a powder spray gun by air, particle trajectories are governed by aerodynamic This paper reports on a research project that studies the effect of particle size on the coating effi ciency and coating uniformity in a powder coating system using the computational fl uid dynamics as a modelling tool. The numerical simulations are conducted for different particle sizes with different distances between the spray gun and the coating part and different positions of the powder spray gun pattern adjuster sleeve (PAS). This study can provide detailed information on air fl ow pattern and particle trajectories inside the powder coating booth, and the coating fi lm thickness on the coated part as well as the particle transfer effi ciency (PTE). In numerical simulations, the air fl ow fi eld is obtained by solving three-dimensional Navier-Stokes equations with standard κ-ε turbulence model and non-equilibrium wall function. The second phase, the coating powder, consists of spherical particles that are dispersed in the continuous phase, the air. In addition to solving transport equations for the air, the trajectories of the particles are calculated by solving the particle motion equations using the Lagrangian method. It is assumed that particle-particle interaction can be neglected. The electrostatic fi eld is modelled by solving the Laplace equation.On a étudié l'effet de la taille des particules sur l'effi cacité et l'uniformité de l'enrobage dans un système d'enduction de poudre à l'aide de la simulation numérique des écoulements. Les simulations numériques sont effectuées pour différentes tailles de particules et différentes distances entre le dispositif d'atomisation et la région d'enduction, ainsi que différentes positions du dispositif de contrôle du mode d'atomisation (PAS). Cette étude fournit des informations précises sur le mode d'écoulement de l'air et l...

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Simulation of space charge in unbounded geometries

Cited by 24 publications

References 13 publications

Investigations of Electrostatic and Ionized Fields Analysis for Dual-Electrode System

Investigations of Electrostatic and Ionized Fields Analysis for Dual-Electrode System

Numerical solution of the corona discharge problem based on mesh redefinition and test for a charge injection law

Numerical Study of the Effect of Particle Size on the Coating Efficiency and Uniformity of an Electrostatic Powder Coating Process

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