Electroosmotic flow of two-layer fluid containing Oldroyd-B fluid with fractional derivative in a rotating microparallel channel

Cao, Limei; Zhang, Peipei; Si, Xinhui

doi:10.1007/s10404-022-02539-x

Cited by 6 publications

(4 citation statements)

References 37 publications

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“…The separation of species in oscillating flows under the effect of an oscillatory pressure gradient was studied by Teodoro et al [487]. Cao et al [488] investigated the mass separation of Oldroyd-B fluid of the rotating electroosmotic flow of two-layer fluid in a parallel microchannel.…”

Section: Enhancing Microchannel Mixing and Separationmentioning

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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Section: Enhancing Microchannel Mixing and Separationmentioning

confidence: 99%

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

Kundu

Saha

2022

Energies

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“…We considered slip effects as an additional source to analyse the flow behaviour in our analysis. Also, several researchers have devoted significant effort to examining rotational microfluidic transport in the last few decades because of its enormous practical significance and wide range of applications in the biochemical analysis [36][37][38][39]. Most of the above studies have conducted the rotating EOF through narrow fluidic channels without considering the Navier slip boundary conditions at channel walls.…”

Section: Introductionmentioning

confidence: 99%

“…The rotating electrokinetic flow of nanofluids in a narrow fluidic channel under the influence of Lorentz force is analyzed by (Kumar Mondal and Wongwises 2020). Also, several researchers have devoted significant effort to examining rotational microfluidic transport in the last few decades because of its enormous practical significance and wide range of applications in the biochemical analysis (Siva et al 2020;Balasubramanian et al 2020;Mallick 2021;Cao et al 2022) Because of an extremely non-linear relationship between shear stress and rate of strain and different rheological properties, non-Newtonian fluids are much more complicated and always more difficult to handle than Newtonian fluids. Due to their potential applications in a wide range of typical industrial and mechanical issues, non-Newtonian fluids are of interest to many researchers (Christopherson et al 1959;Popel et al 1974;Rudraiah et al 1991).…”

Section: Introductionmentioning

confidence: 99%

A theoretical analysis of rotating electromagnetohydrodynamic and electroosmotic transport of couple stress fluid through a microchannel

Siva,

Jangili,

Kumbhakar

2024

Z Angew Math Mech

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The main motivation behind this research work is the electroosmotic flow (EOF), which characterizes the movement of charged particles in a fluid when subjected to an external electric field, which offers precise control over fluid movement without mechanical components. The study of bio‐fluids in rotating microfluidic platforms is becoming much more significant. Hence, it is important to discuss the non‐Newtonian fluids in such environments. This paper analytically investigates the hydrodynamic characteristics of combined electromagnetohydrodynamic (EMHD) and EOF transport of non‐Newtonian fluid through a rotating microchannel with Navier‐slip boundary conditions at the walls. The couple stress fluid model is considered a non‐Newtonian fluid in the flow domain. The linearized Poisson‐Boltzmann equation is considered inside the electric double layer (EDL). The modified Stokes equation is governed by a combined imposed magnetic and EOF field. Closed form expressions are obtained for electrical potential, flow velocity, and volume flow rate in the channel using analytical methods. The dependence of rotating electromagnetic flow velocity and flow rates on appropriate parameters is explained. It is found that the rotational flow velocity displays an opposite pattern when the couple stress parameter and electric field intensity parameters are varied due to the influence of channel rotation. It is also found that the secondary flow rate ratio is amplified with the Hartmann number and slip length parameter, due to the stronger impact of the non‐Newtonian behaviour than the Newtonian situation on the volume flow rate at a relatively higher rotational value. The findings of this study may aid in the design and analysis of practical thermal micro/nano‐equipment for transporting biofluids.

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“…However, in their work, the velocity profiles were only calculated under steady-state circumstances. Most recently, some interesting results [46][47][48][49][50][51] on rotating EOF with various applications have been reported in the technical literature.…”

Section: Introductionmentioning

confidence: 99%

Heat transfer and hydromagnetic electroosmotic Von Kármán swirling flow from a rotating porous disc to a permeable medium with viscous heating and Joule dissipation

Balaji¹,

Prakash²,

Tripathi

et al. 2023

Heat Trans

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Magnetohydrodynamic flow and heat transfer in an ionic viscous fluid in a porous medium induced by a stretching spinning disc and modulated by electroosmosis under an axial magnetic field and radial electrical field is presented in this study. The effects of convective wall boundary conditions, Joule heating and viscous dissipation are incorporated. The governing partial differential conservation equations are transformed into a system of self‐similar coupled, nonlinear ordinary differential equations with associated boundary conditions. The Matlab bvp4c solver featuring a shooting technique and the fourth‐order Runge–Kutta–Fehlberg method are used to numerically solve the governing dimensionless boundary value problem. Multivariate analysis is also performed to examine the thermal characteristics. An increase in rotation parameter induces a reduction in the radial velocity, whereas it elevates the tangential velocity. Greater electrical field parameter strongly damps the radial velocity whereas it slightly decreases the tangential velocity. Increasing magnetic parameter also damps both the radial and tangential velocities. An increment in electroosmotic parameter substantially decelerates the radial flow but has a weak effect on the tangential velocity field. Increasing permeability parameter (inversely proportional to permeability) markedly damps both radial and tangential velocities. The pressure gradient is initially enhanced near the disk surface but reduced further from the disk surface with increasing magnetic parameter and electrical field parameter, whereas the opposite effect is produced with increasing Joule dissipation. Increasing magnetic and rotational parameters generate a strong heating effect and boost temperature and thermal boundary layer thickness. Nusselt number is boosted with increasing Brinkman number (viscous heating effect) and Reynolds number. The simulations are relevant to electromagnetic coating flows, bioreactors and electrochemical sensing technologies in medicine.

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Electroosmotic flow of two-layer fluid containing Oldroyd-B fluid with fractional derivative in a rotating microparallel channel

Cited by 6 publications

References 37 publications

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

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

A theoretical analysis of rotating electromagnetohydrodynamic and electroosmotic transport of couple stress fluid through a microchannel

Heat transfer and hydromagnetic electroosmotic Von Kármán swirling flow from a rotating porous disc to a permeable medium with viscous heating and Joule dissipation

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