Space-charge-limited current through conical formations on the surface of a liquid with ionic conductivity

Belyaev, Maksim; Зубарев, Н. М.; Zubareva, O. V.

doi:10.1016/j.elstat.2020.103478

Cited by 3 publications

(3 citation statements)

References 38 publications

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“…It is remarkable that the electric field potential in the spray region also obeys Taylor's R 1/2 law. Recently, it was shown in [4,5] that this scaling also remains valid if the surface ion current is taken into account.…”

Section: Introductionmentioning

confidence: 90%

“…In the present work, combining approaches developed in [3][4][5], we consider the conical formation on the surface of a liquid with surface (ionic) conductivity in an external electric field. Carriers move over the cone surface towards the apex, and charged particles (ions or droplets) emanating from the cone apex drift through the surrounding gas medium.…”

Section: Introductionmentioning

confidence: 99%

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Conical structures on the surface of a liquid with surface ionic conductivity: the space charge effect

Belyaev¹,

Зубарев²,

Zubareva³

2022

8th International Congress on Energy Fluxes and Radiation Effects

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Conical structures arising on the surface of a liquid with surface conductivity in an electric field are considered taking into account the influence of space charge of particles emanating from the cone apex. It is demonstrated that the field distribution problem admits an exact self-similar solution corresponding to the Taylor scaling law. This solution allows us to determine the relation between the total electric current flowing through the cone and the cone and space-charge region half-angles. The structure of this relation is quite sophisticated; it changes essentially with changing the permittivity of a liquid and the mobility of carriers.

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Section: Introductionmentioning

confidence: 90%

Section: Introductionmentioning

confidence: 99%

Conical structures on the surface of a liquid with surface ionic conductivity: the space charge effect

Belyaev¹,

Зубарев²,

Zubareva³

2022

8th International Congress on Energy Fluxes and Radiation Effects

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show abstract

“…The surface of the dielectric cone carries only the polarization charge and the emanation of the jet from the cone apex is impossible similary to the case of the perfectly conducting liquid forming the Taylor cone. Recently, self-similar conical structures different from the hydrostatic Taylor cone and capable of emitting charges were described [ 62 , 147 , 148 , 149 , 150 , 151 ]. There are two families of micro-cones carrying surface charges [ 62 ].…”

Section: Elasticity In the Dynamics Of Extension Of Polymer Solutionsmentioning

confidence: 99%

The Elasticity of Polymer Melts and Solutions in Shear and Extension Flows

2023

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This review is devoted to understanding the role of elasticity in the main flow modes of polymeric viscoelastic liquids—shearing and extension. The flow through short capillaries is the central topic for discussing the input of elasticity to the effects, which are especially interesting for shear. An analysis of the experimental data made it possible to show that the energy losses in such flows are determined by the Deborah and Weissenberg numbers. These criteria are responsible for abnormally high entrance effects, as well as for mechanical losses in short capillaries. In addition, the Weissenberg number determines the threshold of the flow instability due to the liquid-to-solid transition. In extension, this criterion shows whether deformation takes place as flow or as elastic strain. However, the stability of a free jet in extension depends not only on the viscoelastic properties of a polymeric substance but also on the driving forces: gravity, surface tension, etc. An analysis of the influence of different force combinations on the shape of the stretched jet is presented. The concept of the role of elasticity in the deformation of polymeric liquids is crucial for any kind of polymer processing.

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Conical Structures on the Liquid Surface in an Electric Field: Effect of Volume and Surface Charges

Belyaev,

Zubarev,

Zubareva

2024

Jetp Lett.

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Space-charge-limited current through conical formations on the surface of a liquid with ionic conductivity

Cited by 3 publications

References 38 publications

Conical structures on the surface of a liquid with surface ionic conductivity: the space charge effect

Conical structures on the surface of a liquid with surface ionic conductivity: the space charge effect

The Elasticity of Polymer Melts and Solutions in Shear and Extension Flows

Conical Structures on the Liquid Surface in an Electric Field: Effect of Volume and Surface Charges

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