Contact line dynamics of electroosmotic flows of incompressible binary fluid system with density and viscosity contrasts

Mondal, Pranab Kumar; DasGupta, Debabrata; Bandopadhyay, Aditya; Ghosh, Uddipta; Chakraborty, Suman

doi:10.1063/1.4915891

Cited by 35 publications

(26 citation statements)

References 70 publications

(102 reference statements)

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“…With the aforementioned definitions of the fluid properties, along with the thin-EDL approximation (as mentioned in § 2), the Navier-Stokes equations read (Jacqmin 1999;Badalassi et al 2003;Mondal et al 2013)…”

Section: Coupling Between Phase Field and Electrohydrodynamics -The Hmentioning

confidence: 99%

“…In (4.2), σ is the surface tension or the interfacial free energy as described in § 2 and ξ is the length scale of the diffuse interface thickness. The double-well potential has the expression (Jacqmin 1999;Mondal et al 2013)…”

Section: 1mentioning

confidence: 99%

“…The Cahn-Hilliard equation takes the following form (Jacqmin 1999;Mondal et al 2013) (here expressed in dimensional form):…”

Section: Coupling Between Phase Field and Electrohydrodynamics -The Hmentioning

confidence: 99%

“…Therefore, φ = 1 in fluid 1 and −1 in fluid 2, while φ ∈ (−1, 1) denotes the interface. With the aforementioned definition of the order parameter, the Ginzburg-Landau free energy for a two-fluid system is defined as follows (Jacqmin 1999;Mondal et al 2013):…”

Section: 1mentioning

confidence: 99%

“…Thus, the analytical solutions only focus on the transient deformation process, while the fluid flow is assumed to be quasisteady at all times. The numerical simulations are performed using the widely used phase field formalism (Anderson, McFadden & Wheeler 1998;Jacqmin 1999;Badalassi, Ceniceros & Banerjee 2003;Chaudhury, Ghosh & Chakraborty 2013;Mondal et al 2013;Sibley, Nold & Kalliadasis 2013;Mondal, DasGupta & Chakraborty 2014a;Mondal et al 2014b), where the effects of inertia on the flow dynamics are included. Our analysis reveals that the deformation shows a simple sinusoidal variation for low capillary numbers (Ca) (for the potential pattern considered in the present study), although for higher Ca, more complex variations are witnessed.…”

Section: Introductionmentioning

confidence: 99%

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Electro-osmosis of superimposed fluids in the presence of modulated charged surfaces in narrow confinements

et al. 2015

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In the present study, we attempt to analyse the electro-osmotic flow of two superimposed fluids through narrow confinements in the presence of axially modulated surface charges. We attempt to solve for the flow structure as well as the interface deformation by both analytical and numerical techniques. Approximate analytical solutions are obtained through asymptotic analysis for low deformations, whereas numerical solutions are obtained by applying the phase field formalism; the numerical solutions are obtained for small as well as large interfacial deformations. The analytical solutions are derived only for the transient deformation of the interface, neglecting the transience in the flow, i.e. the flow is assumed to be quasisteady. The numerical solutions, however, are derived including the effects of inertia and transients in the flow. We attempt to compare our analytical and numerical results and explore the effects of several physico-chemical parameters on the deformation of the interface as well as the nature of the flow. Our analysis reveals that parameters such as the modulation wavelength, surface tension (described through the capillary number), viscosity ratio, permittivity ratio and extent of asymmetry in the potential on the two walls are the major contributors to the deformation and the resulting flow features.

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Section: Coupling Between Phase Field and Electrohydrodynamics -The Hmentioning

confidence: 99%

Section: 1mentioning

confidence: 99%

“…The Cahn-Hilliard equation takes the following form (Jacqmin 1999;Mondal et al 2013) (here expressed in dimensional form):…”

Section: Coupling Between Phase Field and Electrohydrodynamics -The Hmentioning

confidence: 99%

Section: 1mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Electro-osmosis of superimposed fluids in the presence of modulated charged surfaces in narrow confinements

et al. 2015

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Electro‐capillary filling in a microchannel under the influence of magnetic and electric fields

et al. 2020

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We numerically investigate the dynamics of two immiscible conductive fluids in a narrow fluidic channel under the combined influence of electric and magnetic fields using a diffuse interface based phase-field model. The numerical solver is validated from two different perspectives, viz., with the reported results of microscale multiphase transport as well as the available experimental results in the paradigm of electrically actuated transport. The magnetic field induces the Lorentz force due to its interaction with the electrical forcing, which in turn leads to complex interfacial dynamics and development of a finger-like interface front of the advancing fluid into the receding fluid. Under certain conditions studied in the present work, the trend reverses, and a finger of receding fluid is formed into the advancing fluid. The effect of contrast in fluid properties is studied and the interface breaking phenomenon is observed beyond a threshold viscosity contrast. It is found that for a given viscosity contrast between the fluids, an increase in the strength of the applied magnetic field prevents wetting failure.

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Numerical study of the vortex‐induced electroosmotic mixing of non‐Newtonian biofluids in a nonuniformly charged wavy microchannel: Effect of finite ion size

2021

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We propose a micromixer for obtaining better efficiency of vortex induced electroosmotic mixing of non-Newtonian bio-fluids at a relatively higher flow rate, which finds relevance in many biomedical and biological applications. To represent the rheology of non-Newtonian fluid, we consider the Carreau model in this study, while the applied electric field drives the constituent components in the micromixer. We show that the spatial variation of the applied field, triggered by the topological change of the bounding surfaces, upon interacting with the non-uniform surface potential gives rise to efficient mixing as realized by the formation of vortices in the proposed micromixer. Also, we show that the phase-lag between surface potential leads to the formation of asymmetric vortices. This behavior offers better mixing performance following the appearance of undulation on the flow pattern. Finally, we establish that the assumption of a point charge in the paradigm of electroosmotic mixing, which is not realistic as well, under-predicts the mixing efficiency at higher amplitude of the non-uniform zeta potential. The inferences of the present analysis may guide as a design tool for micromixer where rheological properties of the fluid and flow actuation parameters can be simultaneously tuned to obtain phenomenal enhancement in mixing efficiency.

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Contact line dynamics of electroosmotic flows of incompressible binary fluid system with density and viscosity contrasts

Cited by 35 publications

References 70 publications

Electro-osmosis of superimposed fluids in the presence of modulated charged surfaces in narrow confinements

Electro-osmosis of superimposed fluids in the presence of modulated charged surfaces in narrow confinements

Electro‐capillary filling in a microchannel under the influence of magnetic and electric fields

Numerical study of the vortex‐induced electroosmotic mixing of non‐Newtonian biofluids in a nonuniformly charged wavy microchannel: Effect of finite ion size

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