Electroconvection in the presence of autonomous unipolar injection and residual conductivity

Taraut, A. V.; Smorodin, B. L.

doi:10.1134/s1063776112070187

Cited by 25 publications

(8 citation statements)

References 10 publications

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“…A mathematical model describing nonisothermic flow of an incompressible weakly conducting polymeric fluid with a negative volume charge was proposed in [3] (for the description of polymeric media one used a new rheological model, see [1]). The formulation of the model in [3] was based, in particular, on the results from [8][9][10] obtained for an inviscid incompressible fluid. In the Cartesian coordinate system (x, y) and in a dimensionless form (the process of obtaining this form is described in detail in [3]) this mathematical model can be written as follows:…”

Section: Preliminaries and Main Resultsmentioning

confidence: 99%

Spectral asymptotics of a linearized problem for an incompressible weakly conducting polymeric fluid

2017

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Section: Preliminaries and Main Resultsmentioning

confidence: 99%

Spectral asymptotics of a linearized problem for an incompressible weakly conducting polymeric fluid

2017

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“…The heating of the capacitor from above leads to growth of oscillatory disturbances [6,7]. Stable traveling and modulated waves are found in this case [7,8].…”

Section: Introductionmentioning

confidence: 90%

“…Moreover, several nonlinear modes that differ in their properties, such as the intensity of heat and mass transfer, usually coexist. Convection in binary mixtures [15] and non-uniform magnetic fluids [16], in systems with interfacial surfaces [17,18], and electroconvection of nonisothermal liquid [6][7][8]19] are an incomplete list of problems that manifest such behaviour. Moreover, several nonlinear modes that differ in their properties, such as the intensity of heat and mass transfer, usually coexist.…”

Section: Introductionmentioning

confidence: 99%

Effect of charge modulation on the electroconvective flow of a low conducting liquid

Nekrasov

Smorodin

2021

Math. Model. Nat. Phenom.

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Nonlinear evolution of the electroconvective flow patterns is analysed in a horizontal low conductive fluid layer under heating from above and under modulated charge injection. To examine the complex evolution of the system, numerical simulations are carried out using a finite difference method. The influence of amplitude and frequency modulation on the oscillatory electroconvection is studied. Traveling waves with modulated amplitudes and phase velocities and synchronously modulated patterns are found as stable solutions.

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“…Electro-convection (EC) driven by Coulomb force in nonpolar dielectric fluids is a fundamental problem in EHD [9][10][11] . The behavior of poorly conducting nonpolar liquids has received a lot of attention because of its rich flow features and nonlinear characteristics [12][13][14] . There are two main mechanisms for the generation of free space charges in nonpolar isothermal dielectric liquids 9 , namely: 1) injection and 2) conduction.…”

Section: Introductionmentioning

confidence: 99%

“…DOI: 10.1063/5.0086189 the dielectric liquid. Previous theoretical studies have shown that residual conductivity in a liquid significantly affects the linear and nonlinear stability of the EC and ETC systems14,43 . Therefore, in this study, an EC solver based on the dissociation-injection model is developed, and a series of numerical simulations are performed to investigate the rich flow features and bifurcation phenomena in dielectric liquids with different residual conductivities.…”

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confidence: 99%

Numerical analysis of electro-convection in dielectric liquids with residual conductivity

Huang

et al. 2022

Physics of Fluids

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Injection-induced electro-convection (EC) of dielectric liquids is a fundamental problem in electrohydrodynamics. However, most previous studies with this type of EC assume that the liquid is perfectly insulating. By perfectly insulating, we mean an ideal liquid with zero conductivity, and in this situation, the free charges in the bulk liquid originate entirely from the injection of ions. In this study, we perform a numerical analysis with the EC of dielectric liquids with a certain residual conductivity based on a dissociation–injection model. The spatiotemporal distributions of the flow field, electric field, and positive/negative charge density in the parallel plate configuration are solved utilizing the finite volume method. It is found that the residual conductivity inhibits the onset of EC flow, as well as the strength of the flow field. The flow features and bifurcations are studied in various scenarios with three different injection strengths in the strong, medium, and weak regimes. Three distinct bifurcation sequences with abundant features are observed by continually increasing or decreasing the electric Reynolds number. The present study shows that the residual conductivity significantly affects the bifurcation process and the corresponding critical point of EC flows.

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Electroconvection in the presence of autonomous unipolar injection and residual conductivity

Cited by 25 publications

References 10 publications

Spectral asymptotics of a linearized problem for an incompressible weakly conducting polymeric fluid

Spectral asymptotics of a linearized problem for an incompressible weakly conducting polymeric fluid

Effect of charge modulation on the electroconvective flow of a low conducting liquid

Numerical analysis of electro-convection in dielectric liquids with residual conductivity

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