Effects of geometric modulation and surface potential heterogeneity on electrokinetic flow and solute transport in a microchannel

Bera, Subrata; Bhattacharyya, S.

doi:10.1007/s00162-017-0448-7

Cited by 20 publications

(5 citation statements)

References 37 publications

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“…The continuity and Navier-Stokes equations (in the Stokes theory limit for the exceedingly small Reynolds number) are brought into dimensionless form using the scaling and dimensionless parameters introduced in Eqs. ( 22 ) and ( 24 ) to obtain In order to convert the corrugated geometry of the channel shape into a conventional rectangular one a mapping 44 , 45 is applied to Eqs. ( 26 )–( 28 ).…”

Section: Numerical Simulationsmentioning

confidence: 99%

“…A cyclic pressure correction approach, the SIMPLE algorithm, is used to solve the discretized Eqs. ( 30 )–( 32 ) 44 – 46 . The discretized continuity equation is transformed into a Poisson equation for the pressure correction, which is then solved iteratively using the SOR (Successive over relaxation) scheme until the desired accuracy is achieved.…”

Section: Numerical Simulationsmentioning

confidence: 99%

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Variational approach for Stokes flow through a two-dimensional non-uniform channel

Banerjee,

Oron,

Agnon

2024

Sci Rep

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A variational approach is proposed to study the Stokes flow in a two-dimensional non-uniform channel. By using the stationarity of the Lagrangian, the Euler-Lagrange equations are established which leads to a simple set of ordinary differential equations to provide an estimate for the average pressure drop explicitly in terms of the channel shape function. The results for the pressure drop show an excellent agreement with the second-order extended lubrication theory. A higher-order formulation further improves the accuracy of the results for the pressure drop along the channel.

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Section: Numerical Simulationsmentioning

confidence: 99%

Section: Numerical Simulationsmentioning

confidence: 99%

Variational approach for Stokes flow through a two-dimensional non-uniform channel

Banerjee,

Oron,

Agnon

2024

Sci Rep

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“…[50,52,[380][381][382]. The MHD pump not only works for the flow control and pumping, but also induces the complex secondary fluid, producing chaotic convections and help of mixing [383,384] and string [51,385,386]. Applying electromagnetic force to the pump to control the flow is a super specialty of microfluidics, which deals with converting electromagnetic energy into mechanical energy [387,388].…”

Section: Theory Of Electro-magneto-hydrodynamic (Emhd) Flowmentioning

confidence: 99%

Review and Analysis of Electro-Magnetohydrodynamic Flow and Heat Transport in Microchannels

Kundu

Saha

2022

Energies

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This paper aims to develop a review of the electrokinetic flow in microchannels. Thermal characteristics of electrokinetic phenomena in microchannels based on the Poisson–Boltzmann equation are presented rigorously by considering the Debye–Hückel approximation at a low zeta potential. Several researchers developed new mathematical models for high electrical potential with the electrical double layer (EDL). A literature survey was conducted to determine the velocity, temperature, Nusselt number, and volumetric flow rate by several analytical, numerical, and combinations along with different parameters. The momentum and energy equations govern these parameters with the influences of electric, magnetic, or both fields at various preconditions. The primary focus of this study is to summarize the literature rigorously on outcomes of electrokinetically driven flow in microchannels from the beginning to the present. The possible future scope of work highlights developing new mathematical analyses. This study also discusses the heat transport behavior of the electroosmotically driven flow in microchannels in view of no-slip, first-order slip, and second-order slip at the boundaries for the velocity distribution and no-jump, first-order thermal-slip, and second-order thermal-slip for the thermal response under maintaining a uniform wall-heat flux. Appropriate conditions are conferred elaborately to determine the velocity, temperature, and heat transport in the microchannel flow with the imposition of the pressure, electric, and magnetic forces. The effects of heat transfer on viscous dissipation, Joule heating, and thermal radiation envisage an advanced study for the fluid flow in microchannels. Finally, analytical steps highlighting different design aspects would help better understand the microchannel flow’s essential fundamentals in a single document. They enhance the knowledge of forthcoming developmental issues to promote the needed study area.

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“…The migrating mobile ions drag the bulk electrolyte along with them, resulting in electroosmotic flow (EOF). 4 A huge number of theoretical and experimental studies have been conducted on the fully developed EOF for solute transport and mixing in different geometrical domains at various heterogeneous potentials [5][6][7][8] under the applied DC electric field. Torii and Yang 9 numerically investigated the thermo-fluidic transport phenomena through a concentric annulus with an axially rotating inner core while keeping the outer cylinder stationary but heating with the same heat flux.…”

Section: Introductionmentioning

confidence: 99%

Impact of hydrodynamics and rheology of the ion partitioning effect on electrokinetic flow through a soft annulus with a retentive and absorptive wall

2023

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Effects of geometric modulation and surface potential heterogeneity on electrokinetic flow and solute transport in a microchannel

Cited by 20 publications

References 37 publications

Variational approach for Stokes flow through a two-dimensional non-uniform channel

Variational approach for Stokes flow through a two-dimensional non-uniform channel

Review and Analysis of Electro-Magnetohydrodynamic Flow and Heat Transport in Microchannels

Impact of hydrodynamics and rheology of the ion partitioning effect on electrokinetic flow through a soft annulus with a retentive and absorptive wall

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