Electro-osmotic flow and heat transfer in a slowly varying asymmetric micro-channel with Joule heating effects

Mondal, A.; Shit, G. C.

doi:10.1088/1873-7005/aad590

Cited by 16 publications

(15 citation statements)

References 40 publications

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“…For the present analysis, the ratio of inlet height and maximum Debye layer thickness is taken as 20, for which the ratio of the typical radius of curvature, and EDL thickness becomes 125 ( 1). These values are similar to those reported in [14] for the EOF through an asymmetric sinusoidal microchannel. Following this analysis, we appeal to the PB equation in describing the EDL potential for the present case.…”

Section: Governing Transport Equationssupporting

confidence: 52%

“…Equation (5) results in the PB EDL-potential distribution (ψ ), and this approximation is also valid for the assumption of ionic equilibrium [74]. The validity of the PB equation in describing the EDL potential in a wavy channel works in the limit when the local radius of curvature of the wavy wall is much higher than the EDL thickness [14,74]. To check the validity of the PB equation in the context of this analysis, we perform an order analysis as follows: for the present study, the typical radius of the wavy curve is (L w /4) 2 /A = 6.25H, where H, L w , and A are the inlet height, wavelength, and amplitude of the wavy microchannel.…”

Section: Governing Transport Equationsmentioning

confidence: 99%

“…To ensure adequate mixing in microfluidic systems/devices, researchers have explored several avenues, which include different flow actuation parameters (for active mixing) and topological change of the bounding surface (for passive mixing) of the fluidic pathways [11][12][13]. In recent times, the electrokinetic flow gains serious attention as compared to the pressure-driven flow in microfluidic devices [14][15][16][17]. It is because of the microfabrication and design of the micropump is very complex and causes mechanical failure or fabrication defects.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

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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Section: Governing Transport Equationssupporting

confidence: 52%

Section: Governing Transport Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

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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“…It has been tested that further reducing

normalΔ y

and

normalΔ t

does not provide any significant variation, and hence the stability of the numerical scheme is checked as well. For numerical computation, the following set of parametric values are considered as available in the scientific literature 17,22,25,54,57 :

κ = {5, 10, 20, 50}

η = {0, 0.1, 0.5, 1}

italicHa \in 1, 10

γ = {0.2, 0.4, 0.6, 0.8, 1.0}

normalΓ = {- 5, - 3, 0, 3, 5}

italicEc = {0.001, 0.01, 0.05, 0.1}

italicPr = {0, 1, 2, 5}

β_{1} = {0.001, 0.05, 0.1}

β_{2} = {0.002, 0.05, 0.1}

, and

S = {0.0, 0.1, 0.25, 1.0}

.…”

Section: Resultsmentioning

confidence: 99%

“…Swamy 56 carried out the linear and nonlinear stability analysis of electrothermal convection in a dielectric porous layer under the influence of time‐periodic gravity and AC electric field. Several studies 57,58 have dealt with the concept of Joule heating effects. In this regard, Yang et al 59 studied the heat transfer characteristics of MHD EOF in a microchannel wherein they considered the pressure gradient term and expressed the nondimensional flow variables analytically with the Joule heating effects.…”

Section: Introductionmentioning

confidence: 99%

Electroosmotic flow of a fractional second‐grade fluid with interfacial slip and heat transfer in the microchannel when exposed to a magnetic field

Dey

Shit

2020

Heat Trans

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We investigated the time‐dependent viscoelastic fluid flow through a parallel‐plate microchannel under the influence of a transversely applied magnetic field and an axially imposed electric field. We performed the analysis by employing the Poisson‐Boltzmann equation under the Debye‐Huckel approximation. The generalized second‐grade fluid model with a fractional‐order time derivative is used to observe the non‐Newtonian and fractional behavior rates of deformation employing the Riemann‐Liouville fractional operator. We considered the asymmetric zeta potentials and different slip effects at the walls to study the flow behavior near the vicinity of the channel. We obtained an analytical solution in terms of Mittag‐Leffler function, applying Fourier and Laplace transformations. We imposed the heat transfer phenomena with the dissipation of energy and Joule heating effects on the model. The governing equations were also solved numerically by employing an implicit finite difference scheme. The numerical solution was compared with the analytical results, considering the influence of the pertinent parameters involved in the problem. The study delineates that the flow rate decreases with a rise in the fractional‐order parameter, while the opposite trend is observed with the electroosmotic parameter. Due to the application of sufficient strength of the magnetic field and the Joule heating effects, the temperature increases within the channel.

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Spreadsheet analysis of the field‐driven start‐up flow in a microfluidic channel

Mondal

Roy

2021

Electrophoresis

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We discuss, in this article, the solution method of the unsteady electroosmotic flow of Newtonian fluid in a square microfluidic channel cross-section in the framework of spreadsheet analysis. We demonstrate the implementation of the finite difference scheme, which is used for the discretization of the transport equations governing the flow dynamics of the present problem, in the spreadsheet tool. Also, we have shown the implementation details of different boundary conditions, which are typically used for the underlying electrohydrodynamics in a microfluidic channel, in the spreadsheet analysis tool. We show that the results obtained from the spreadsheet analysis match accurately with the numerical solutions for both the electrostatic potential distribution and the flow velocity. Our results of this analysis justify the credibility of the spreadsheet tool for capturing the intricate details of the electrically actuated microflows during the initial transiences, that is, for the startup flows and the phenomenon due to the electrical double layer effect, quite effectively. The inferences of this analysis will open up a new research paradigm of microfluidics and microscale transport processes by providing the potential applicability of the spreadsheet tools to obtain the flow physics of our interest in a very intuitive and less expensive manner.

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Electro-osmotic flow and heat transfer in a slowly varying asymmetric micro-channel with Joule heating effects

Cited by 16 publications

References 40 publications

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

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

Electroosmotic flow of a fractional second‐grade fluid with interfacial slip and heat transfer in the microchannel when exposed to a magnetic field

Spreadsheet analysis of the field‐driven start‐up flow in a microfluidic channel

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