Numerical modelling of Coulomb-driven convection in insulating liquids

Chicon, R.; Castellanos, A.; Martin, E.

doi:10.1017/s0022112097005934

Cited by 113 publications

(90 citation statements)

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“…For higher values of T, the peaks progressively broaden until the whole spectrum becomes broadband for T > 5000. Our findings present some differences from the results obtained by Chicón et al 7 and Vázquez et al 9 Chicón et al found a broadband spectrum for L = 0.614. In Ref.…”

Section: E Spectral Analysiscontrasting

confidence: 99%

“…3 The overall hysteretic behaviour is depicted in Figure 11. This hysteresis loop is similar to the one obtained by Figure 10 of Chicón et al 7 In particular, the value of the velocity amplitude at the linear criterion is close to 3. The hysteresis loop for lateral walls is indicated in Figure 12(a).…”

Section: B Nonlinear Criterionsupporting

confidence: 89%

“…The drawback of this kind of approach is that the velocity field, as well as the electrical field, are not really computed from equations but given a priori. This method to solve the charge density equation belongs to the so-called super-particle methods, and it has been extensively investigated by other authors, among them, Chicón et al 7,8 Significant improvements were made in their papers. They still applied the super-particle method to compute the charge density field, but this time they entirely solved the potential from Poisson's equation in order to compute the electric field.…”

Section: Introductionmentioning

confidence: 99%

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Two-dimensional numerical analysis of electroconvection in a dielectric liquid subjected to strong unipolar injection

2012

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Two-dimensional numerical simulations are carried out to examine the problem of transient electroconvection stability of dielectric liquids subjected to unipolar injection. The entire set of electrohydrodynamics equations associated with the electroconvective phenomena that occur in a layer of a dielectric liquid between two parallel electrodes subjected to a potential difference are solved numerically. We first validate the numerical simulation by comparing our linear stability electroconvection criteria with those obtained by other authors with a stability approach. In this paper, we restrict the study to the strong injection case, which corresponds to values of the non-dimensional injection parameter C greater than or equal to 10. The numerical solution of the electroconvective problem is then presented for rigid lateral boundary conditions. A detailed analysis of the scenario that occurs for different characteristic values of the stability parameter T is provided. The flow structure and its behaviour highlight the existence of different regimes, from laminar to chaotic. The development of charged plumes has been observed in particular. We compute the electrical Nusselt number for different values of the stability parameter and ion mobility. The electrical Nusselt number saturates with increasing T, a fact that it is in agreement with available experimental data. Finally, a spectral analysis is conducted for different aspect ratios of the computational domain. The spectral analysis gives an insight into the physical origin of the velocity and current oscillations. C 2012 American Institute of Physics. [http://dx

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Section: E Spectral Analysiscontrasting

confidence: 99%

Section: B Nonlinear Criterionsupporting

confidence: 89%

Section: Introductionmentioning

confidence: 99%

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Two-dimensional numerical analysis of electroconvection in a dielectric liquid subjected to strong unipolar injection

2012

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“…Several attempts to model numerically the development of EHD flows and especially electro-convective flows have been made in the past. But most of the authors started their computations from an assumed velocity field and not from a real resolution of the Navier-Stokes equations [15]. In [16] the appropriate electrodynamics equations coupled with the full Navier-Stokes equations are solved numerically with the help of an efficient finite volume method to study the flow structure of EHD plumes.…”

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confidence: 99%

Numerical simulation and PIV experimental analysis of electrohydrodynamic plumes induced by a blade electrode

Traoré¹,

Daaboul²,

Louste³

2010

J. Phys. D: Appl. Phys.

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In this paper a comparative study between numerical and experimental results from particle image velocimetry (PIV) measurements is presented in the case of two-dimensional electrohydrodynamic plumes that arise when a sharp metallic blade, submerged in non-conducting liquids, supports a high electric potential. Experiments and numerical simulations have been conducted in order to compare both the approaches. Very good agreement has been found through velocity profiles and velocity fields which proves the relevance of our numerical model. For high potentials the jet flow issued forth from the blade becomes unsteady and starts to flap on the vertical wall. Some snapshots of the temporal evolution of the isocontours of charge density which is not accessible from experiment are presented thanks to the numerical simulation.

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“…The linear t hreshold for st rong inject ion above which roll st ruct ures arise has been determined through these simulations to be equal to T C 170, whereas [38] quot e T C 171 and [20] quot e T C 163. Below this threshold, t he charge distribution is de ned t hrough an analyt ical expression.…”

Section: Solut Ion Validat Ion: Fr Ee Convect Ion R Oll St R Uct Ur Esmentioning

confidence: 99%

Characteristics of electrohydrodynamic roll structures in laminar planar Couette flow

Kourmatzis¹,

Shrimpton²

2015

J. Phys. D: Appl. Phys.

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A bst r act .T he behaviour of an incompressible dielect ric liquid subject ed t o a laminar planar Couet t e ow wit h unipolar charge inject ion is invest igat ed numerically in two dimensions. T he comput at ions show new morphological charact erist ics of roll st ruct ures t hat arise in t his forced elect ro-convect ion problem. T he charge and velocity magnit ude dist ribut ions between t he two parallel elect rodes are discussed as a funct ion of t he t op wall velocity and t he EHD Rayleigh number, T for t he case of st rong charge inject ion. A wide enough paramet ric space is invest igat ed such t hat t he observed EHD roll st ruct ures progress t hrough t hree regimes. T hese regimes are de ned by t he presence of a single or double-roll free convect ive st ruct ure as observed elsewhere [1], a sheared or st ret ched roll st ruct ure, and nally by a regime where t he perpendicular velocity gradient is su cient t o prevent t he generat ion of a roll. T hese t hree regimes have been delineat ed as a funct ion of t he wall t o ionic drift velocity U W = E , and t he T number. In t he st ret ched regime, an increase in U W = E can reduce charge and moment um uct uat ions whilst in parallel de-st rat ify charge in t he region between t he two elect rodes. T he st ret ched roll regime is also charact erised by a subst ant ial in uence of U W = E on t he st eady development t ime, however in t he t radit ional non-st ret ched roll st ruct ure regime, no in uence of U W = E on t he development t ime is not ed.

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Numerical modelling of Coulomb-driven convection in insulating liquids

Cited by 113 publications

References 0 publications

Two-dimensional numerical analysis of electroconvection in a dielectric liquid subjected to strong unipolar injection

Two-dimensional numerical analysis of electroconvection in a dielectric liquid subjected to strong unipolar injection

Numerical simulation and PIV experimental analysis of electrohydrodynamic plumes induced by a blade electrode

Characteristics of electrohydrodynamic roll structures in laminar planar Couette flow

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