Rayleigh–Taylor instability in dielectric fluids

Joshi, Amey; Radhakrishna, M. C.; Rudraiah, N.

doi:10.1063/1.3435342

Cited by 15 publications

(9 citation statements)

References 18 publications

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“…It is known from early work by Melcher [12,13] that a tangential electric field has a stabilizing effect on interfacial waves and the use of electric fields in linearly stabilizing Rayleigh-Taylor instabilities was considered by Eldabe [14] and more recently by Joshi et al [15]. Several nonlinear studies and direct numerical simulations have been carried out.…”

Section: Introductionmentioning

confidence: 99%

Electric field stabilization of viscous liquid layers coating the underside of a surface

et al. 2017

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We investigate the electrostatic stabilization of a viscous thin film wetting the underside of a horizontal surface in the presence of an electric field applied parallel to the surface. The model includes the effect of bounding solid dielectric regions above and below the liquid-air system that are typically found in experiments. The competition between gravitational forces, surface tension, and the nonlocal effect of the applied electric field is captured analytically in the form of a nonlinear evolution equation. A semispectral solution strategy is employed to resolve the dynamics of the resulting partial differential equation. Furthermore, we conduct direct numerical simulations (DNS) of the Navier-Stokes equations using the volume-of-fluid methodology and assess the accuracy of the obtained solutions in the long-wave (thin-film) regime when varying the electric field strength from zero up to the point when complete stabilization occurs. We employ DNS to examine the limitations of the asymptotically derived behavior as the liquid layer thickness increases and find excellent agreement even beyond the regime of strict applicability of the asymptotic solution. Finally, the asymptotic and computational approaches are utilized to identify robust and efficient active control mechanisms allowing the manipulation of the fluid interface in light of engineering applications at small scales, such as mixing.

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Section: Introductionmentioning

confidence: 99%

Electric field stabilization of viscous liquid layers coating the underside of a surface

et al. 2017

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“…This mode of ETC has been studied by Taylor [6]. Turnbull and Melcher [7] described moderately simple laboratory-type experiments which can be expected to model the essential features of ETC to validate the theoretical prediction. Roberts [8] treated this problem in the presence of temperature gradients and electric potential differences across the fluid layer.…”

Section: Introductionmentioning

confidence: 99%

Buoyancy-surface tension driven forces on electro-thermal-convection in a rotating dielectric fluid-saturated porous layer: effect of cubic temperature gradients

Raju¹,

Nandihalli²,

Nanjundappa

et al. 2020

SN Appl. Sci.

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This paper analyses the onset of buoyancy-surface tension driven forces on rotating electro-thermal-convection in a dielectric fluid-saturated porous layer under the influence of different basic temperature gradients. The lower surface is rigid-isothermal, and the upper surface is stress-free and flat at which the Robin-type of thermal boundary condition is invoked. The principle of exchange of stability is valid and the stability eigenvalue problem is solved numerically using the Galerkin method. The parameters influencing the stability characteristics of the system are the thermal Rayleigh number (R t), electric Rayleigh number (R e), Marangoni number (Ma), Taylor number (Ta), Darcy number (Da), Biot number (Bi) and the viscosity ratio (). The onset of convection is delayed for a nonlinear temperature profile when compared to the linear temperature profile. It is observed that the strength of surface tension force and an AC electric field is to hasten the onset. The system is found to be more stable with increasing Bi , Ta and as well as decrease in Da. The surface tension and electric forces complement each other and always observed to be Ma c < R ec .

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“…If we assume the dielectrophoretic limit, 3 that is there are no free surface charges, then we have κ 1e E(0 − ) = κ 2e E(0 + ). Therefore, the field gradient can be chosen to be …”

Section: Electric and Magnetic Boundary Conditionsmentioning

confidence: 99%

“…The fields change the specific weight of the fluids. Our previous papers 3,20 had derived an expression for the effect. However, there was an error in one of the formulas.…”

Section: Fluid In Electric or Magnetic Fieldsmentioning

confidence: 99%

“…Sir Geoffrey Ingram Taylor 2 demonstrated that this situation is equivalent to a lighter fluid accelerating against a heavier one. In one of our earlier papers 3 we showed that a non-uniform electric field alters the specific weight of a fluid. We also showed that it is possible to choose a gradient to equalize the specific weights of superposed fluids.…”

Section: Introductionmentioning

confidence: 99%

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