Electrostatic stress: insightful analysis and manipulation of Maxwell's stress equation for electrostatics

Minteer, Timothy M.

doi:10.1109/tdei.2013.003840

Cited by 5 publications

(6 citation statements)

References 13 publications

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“…The boson interaction model for electrostatics is highlighted first. Maxwellʼs stress equation for two differential charge elements may be mathematically manipulated into two types of stresses: (1) an omnidirectional inward stress/pressure proportional to the total (self and interaction) electrostatic potential energy of the two differential charge elements and (2) a line stress between the two charge elements proportional to the Coulomb force [39,40]. The details of the mathematical manipulation and resulting mathematical stresses are not repeated here.…”

Section: Model and Potentials For Centrally Conservative Electrostati...mentioning

confidence: 99%

“…There are two aspects to the mean valued continual exchange of photons to and from charge elements for the boson interaction electrostatic model. The first is associated with an external exchange to and from a given charge distribution and is coined the term Poincaré stress [39,40]. The second is associated with an internal exchange between individual charge elements and is coined the term Coulomb stress [39,40].…”

Section: Model and Potentials For Centrally Conservative Electrostati...mentioning

confidence: 99%

“…The first is associated with an external exchange to and from a given charge distribution and is coined the term Poincaré stress [39,40]. The second is associated with an internal exchange between individual charge elements and is coined the term Coulomb stress [39,40].…”

Section: Model and Potentials For Centrally Conservative Electrostati...mentioning

confidence: 99%

“…The Poincaré stress represents an inwardly directed, external omnidirectional stress proportional to the electrostatic potential energy of the charge distribution and is mathematically compatible with Maxwellʼs stress equation [39,40]. In general, the Poincaré stress is a binding force that keeps a charge distribution stable [44,45] and is typically viewed as being internal to the charge distribution (i.e., an inward pulling force equalizing the outward electrostatic pressure).…”

Section: Model and Potentials For Centrally Conservative Electrostati...mentioning

confidence: 99%

“…Further details of the Poincaré stress are found in the authorʼs previous work and will not be repeated here [39,40]. The Coulomb stress is the significant part of the electrostatic model as it corresponds to a centrally conservative differential charge element force.…”

Section: Model and Potentials For Centrally Conservative Electrostati...mentioning

confidence: 99%

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A magnetic vector potential corresponding to a centrally conservative current element force

Minteer¹

2014

Eur. J. Phys.

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The magnetic vector potential (Coulomb gauge) is commonly introduced in magnetostatic chapters of electromagnetism textbooks. However, what is not typically presented are the infinite subsets of the Coulomb gauge associated with differential current elements. This work provides a comparison of various differential magnetic vector potentials, differential magnetostatic potential energies, as well as differential current element forces as a collective work not available elsewhere. The differential magnetic vector potential highlighted in this work is the Coulomb-Ampère gauge corresponding to the centrally conservative Ampère current element force. The centrally conservative force is modeled as a mean valued continual exchange of energy carrier mediators accounting for both the differential magnetostatic potential energy and Ampère current element force of two differential current elements.

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Section: Model and Potentials For Centrally Conservative Electrostati...mentioning

confidence: 99%

Section: Model and Potentials For Centrally Conservative Electrostati...mentioning

confidence: 99%

Section: Model and Potentials For Centrally Conservative Electrostati...mentioning

confidence: 99%

Section: Model and Potentials For Centrally Conservative Electrostati...mentioning

confidence: 99%

Section: Model and Potentials For Centrally Conservative Electrostati...mentioning

confidence: 99%

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A magnetic vector potential corresponding to a centrally conservative current element force

Minteer¹

2014

Eur. J. Phys.

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Investigation of electrostatic-assisted ultrasonic atomization and spraying

Yang,

Yuan,

Zhang

et al. 2024

Int J Adv Manuf Technol

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Ultrasonic atomization technology has been widely used in industry in recent years due to its higher atomization e ciency. This paper proposes a method of electrostatic-assisted ultrasonic atomization spraying and designs a special ultrasonic power supply that can directly introduce high-voltage static electricity onto the surface of the ultrasonic atomization so that the liquid can contact the charge and enhance the charging effect. This paper conducts numerical simulation analysis on the atomization process and statistically analyzes the numerical simulation atomization particle size through image processing. In addition, this paper designs experiments from two aspects of atomization particle size and lm-forming effect. The results show that the experimental results are consistent with the numerical simulation results, verifying the accuracy of the numerical simulation results. It shows that in the process of sub-droplet formation, the introduction of static electricity will increase the number of capillary waves, promote two mechanisms of the capillary pinch-off mechanism and the Rayleigh-Plain instability, reduce atomization particle size, and increase atomization e ciency. Compared with the traditional air ow beam method, the lm-forming surface quality of the electric eld beam method is higher and the surface roughness is lower. It solves the problem that air ow affects lm-forming quality in traditional ultrasonic spraying with the air ow beam method. It provides a theoretical basis and scienti c guidance for the application of electrostatic-assisted ultrasonic atomization technology in the atomization and lm preparation industry.

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Direct method-green's theory: From PDE to BIE in the geometric transformation

Yang

Tang

et al. 2016

2016 International Conference on Wavelet Analysis and Pattern Recognition (ICWAPR)

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Electrostatic stress: insightful analysis and manipulation of Maxwell's stress equation for electrostatics

Cited by 5 publications

References 13 publications

A magnetic vector potential corresponding to a centrally conservative current element force

A magnetic vector potential corresponding to a centrally conservative current element force

Investigation of electrostatic-assisted ultrasonic atomization and spraying

Direct method-green's theory: From PDE to BIE in the geometric transformation

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