Electrokinetic instability in microchannel flows: A review

Lin, Hao

doi:10.1016/j.mechrescom.2008.07.012

Cited by 57 publications

(34 citation statements)

References 33 publications

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“…In this application, combining a radial electric field with a temperature gradient between concentric spheres engenders polarization forces that mimic gravity. A brief discussion on the applications of EHD instability has been presented by Lin [15] .…”

Section: Introductionmentioning

confidence: 99%

“…The seriousness of this deficiency is accentuated by the fact that ETHD instability is essentially important in the investigation of deleterious convection in IFE techniques and also in many engineering applications [15] . Besides, heat transfer by means of thermal convection may not meet the requirements in most of the practical situations particularly in MEMS.…”

Section: Introductionmentioning

confidence: 99%

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Stability of natural convection in a vertical dielectric couple stress fluid layer in the presence of a horizontal AC electric field

Shankar

Kumar

Shivakumara

2016

Applied Mathematical Modelling

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a b s t r a c tThe combined effect of couple stresses and a uniform horizontal AC electric field on the stability of buoyancy-driven parallel shear flow of a vertical dielectric fluid between vertical surfaces maintained at constant but different temperatures is investigated. Applying linear stability theory, stability equations are derived and solved numerically using the Galerkin method with wave speed as the eigenvalue. The critical Grashof number G c , the critical wave number a c and the critical wave speed c c are computed for wide ranges of couple stress parameter c , AC electric Rayleigh number R ea and the Prandtl number Pr . Based on these parameters, the stability characteristics of the system are discussed in detail. The value of Prandtl number at which the transition from stationary to travelling-wave mode takes place is found to be independent of AC electric Rayleigh number even in the presence of couple stresses but increases significantly with increasing c . Moreover, the effect of increasing R ea is to instill instability, while the couple stress parameter shows destabilizing effect in the stationary mode but it exhibits a dual behavior if the instability is via travelling-wave mode. The streamlines and isotherms presented demonstrate the development of complex dynamics at the critical state.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Stability of natural convection in a vertical dielectric couple stress fluid layer in the presence of a horizontal AC electric field

Shankar

Kumar

Shivakumara

2016

Applied Mathematical Modelling

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“…A detailed account of thermal instability of Newtonian fluid under the various assumptions of hydrodynamics has been discussed by Chandrasekhar [3] while the electrodynamics of continuous media and later electrohydrodynamic convection in fluids was studied by Landau [4], Robert [5] and Castellanos [6]. A short discussion on the applications of electrohydrodynamic (EHD) instability has been given by Lin [7] The study of electrohydrodynamic instability in dielectric fluid attracts many researchers for the past few decades because it has various applications in EHD enhanced thermal transfer, EHD pumps, EHD in microgravity, micromechanic systems, drug delivery, micro-cooling system, nanotechnology etc. Chen et al [8] discussed the advances and applications of electrohydrodynamics in brief.…”

Section: Introductionmentioning

confidence: 99%

The onset of electrohydrodynamic instability of an elastico-viscous Walters' (model B') dielectric fluid layer

Rana¹,

Chand²,

Yadav³

2015

FME Transaction

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“…5 A brief discussion on the applications of electrohydrodynamic instability has been recently presented by Lin. 6 Incipient interest in theoretical studies of electrohydrodynamic instability was limited either on the interfacial instability between two immiscible liquid layers due to the discontinuity of the dielectric constants 7 or on the electrohydrodynamic convection caused by the dielectrophoretic force due to the variation in the dielectric constant with the nonhomogeneous temperature gradient in the bulk flow. 8,9 Recent studies for the instability of electrohydrodynamic flow have turned to the situation associated with an electric conductivity gradient induced by the concentration variation of charge-carrying solutes.…”

Section: Introductionmentioning

confidence: 99%

Effect of rotation on the electrohydrodynamic instability of a fluid layer with an electrical conductivity gradient

Ruo¹,

Chang²,

Chen³

2010

Physics of Fluids

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The electrohydrodynamic instability of a horizontal rotating fluid layer with a vertical electrical conductivity gradient is considered. An external electric field is applied across the fluid layer to induce an unstably stratified electrical body force. A linear stability analysis has been performed to study the effect of rotation on the onset of electrohydrodynamic instability in the fluid layer. Results show that the instability behaviors depend heavily on the boundary condition of bottom surface. In the case of stress-free condition, rotation enhances the stability and the onset of instability will be dominated by the oscillatory mode once the speed of rotation ͑or Taylor number͒ exceeds a critical value. In contrast, in the case of rigid bottom surface, rotation also tends to stabilize the fluid layer and the stationary mode will prevail eventually with increasing Taylor number. However rotation becomes destabilizing as the critical mode shifts from oscillatory to stationary. Moreover, under the same electrical conductivity gradient, the case with stress-free bottom surface is always more unstable than that with rigid bottom surface in the small Taylor number domain. However this situation is reversed at high Taylor number region since the stability of the stress-free case will be enhanced more rapidly than the rigid case.

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Electrokinetic instability in microchannel flows: A review

Cited by 57 publications

References 33 publications

Stability of natural convection in a vertical dielectric couple stress fluid layer in the presence of a horizontal AC electric field

Stability of natural convection in a vertical dielectric couple stress fluid layer in the presence of a horizontal AC electric field

The onset of electrohydrodynamic instability of an elastico-viscous Walters' (model B') dielectric fluid layer

Effect of rotation on the electrohydrodynamic instability of a fluid layer with an electrical conductivity gradient

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