Alternating current magnetohydrodynamic electroosmotic flow of Maxwell fluids between two micro-parallel plates

Liu, Yapeng; Jian, Yongjun; Liu, Quansheng; Li, Fengqin

doi:10.1016/j.molliq.2015.08.006

Cited by 19 publications

(10 citation statements)

References 40 publications

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“…In this section, we are interested in exploring the effects of different emerging parameters on velocity and temperature distribution. The results are highlighted with the help of graphs 2 – 13 by exhibiting the influence of different parameters like Ha , Br , K , etc on temperature and velocity profiles. All the figures are drawn for the specific fixed values of parameters such as .…”

Section: Resultsmentioning

confidence: 99%

“…The energy and Navier Stokes equations are developed by characterizing the Joule heating and Poisson Boltzmann equation for the electroosmotic flow. The electroosmotic incompressible magnetohydrodynamics flow of Maxwell fluid using the separation of variables is investigated by Liu et al 13 . Lorentz and electric forces are exploited for the driving of the fluid.…”

Section: Introductionmentioning

confidence: 99%

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Dissipated electroosmotic EMHD hybrid nanofluid flow through the micro-channel

Bilal

Asghar

Ramzan

et al. 2022

Sci Rep

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The main objective of the present study is to explore the effects of electromagnetohydrodynamics electroosmotic flow of hybrid nanofluid through circular cylindrical microchannels. An analysis of hybrid nanofluid consisting of four different nanomaterials i.e., single and multiwall carbon nanotubes, silver, and copper is carried out. Yamada–Ota model is employed for the single and multi wall carbon nanotubes, whereas, Xue model is used for the Silver and Copper hybrid nanofluid for specifying the thermal conductivity. The imposed pressure gradient, electromagnetic field and electroosmosis actuated the fluid flow. The flow of heat transfer and Nusselt number with the account of various effects of Joule heating and viscous dissipation under the circumstances of constant heat flux are discussed graphically. The governing system of equations is molded into a system of coupled, nonlinear ordinary differential equations. The shooting technique is used to extract the numerical solutions of the converted system of equations. Also, the outturn of different parameters like Hartman number, the strength of lateral direction electric field, EDL (electric double layer) electrokinetic width, Joule heating parameters on the temperature, and velocity are investigated. The conversion of simple fluid to hybrid nanofluid has greatly alteration in the present model. It has enhanced the thermal properties of fluid. It is also noted that $$SWCNT-MWCNT$$ S W C N T - M W C N T based hybrid nanofluid has most influential impact on Nusselt number, temperature distribution and velocity of the fluid. This attempt is useful for the designing of effectual electromagnetic appliances and exquisite.

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Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Dissipated electroosmotic EMHD hybrid nanofluid flow through the micro-channel

Bilal

Asghar

Ramzan

et al. 2022

Sci Rep

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“…According to the work given in Ref. [36], the half height of the microchannel is H ∼ 10 µm, the cosine wavelength of slip variation is k −1 ∼ 10 µm, the slip length is δ 0 ∼ 1 µm, the density of fluid is ρ × 10 3 kg/m 3 , electrical conductivity is σ ∼ 2.2 × 10 −4 S/m-4 × 10 6 S/m, viscosity is µ ∼ 10 −3 kg/(m•s)-1.5 × 10 −3 kg/(m•s), and the magnitude of the magnetic field strength B y is 0 T-0.44 T. [37] Hence, the maximum of Hartmann number Ha is no more than 5. In our study, we set the dimensionless slip length to vary from 0.01 to 0.1.…”

Section: Resultsmentioning

confidence: 99%

Effect of patterned hydrodynamic slip on electromagnetohydrodynamic flow in parallel plate microchannel*

Yang¹,

Jian²

2020

Chinese Phys. B

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A fully developed electromagnetohydrodynamic (EMHD) flow through a microchannel with patterned hydrodynamic slippage on the channel wall is studied. The flow is driven by the Lorentz force which originates from the interaction between an externally imposed lateral electric field and a perpendicular magnetic field. The governing equations for the velocity with patterned slip boundary conditions are solved analytically by perturbation techniques under the assumption of small Reynolds number Re. In addition, the numerical solutions for the velocity are obtained by using the finite-difference method, and they are found to be in good agreement with the analytical solutions within admissible parameter range. The effects of different parameters on the velocity and volume flow rate due to patterned hydrodynamic slippage are discussed in detail, including wave-number K, Hartmann number Ha, amplitude δ of the patterned slip length, and normalized electric field strength S. The results show that patterned slippage over microchannel walls can induce transverse flows, which will increase the mixing rates in microfluidic devices. In addition, we also find that precise flow control can be achieved by controlling the magnetic flux and the wave-number and also by well choosing the electric field intensity. Our analysis can be used for designing the efficient micro-fluidic mixers.

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“…Time‐dependent laminar flow of upper convected Maxwell (UCM) fluid past a linearly stretching sheet was considered by Hayat et al 10 The rheological model is solved by the homotopy analysis method (HAM). Liu et al 11 performed a theoretical study regarding the MHD electroosmotic flow of a Maxwell fluid flowing between the microparallel plates. Navier's–Stokes equations along with linearized Poisson–Boltzmann equation were analytically solved.…”

Section: Introductionmentioning

confidence: 99%

Time‐dependent hydromagnetic stagnation point flow of a Maxwell nanofluid with melting heat effect and amended Fourier and Fick's laws

et al. 2021

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An unsteady stagnation point flow of a Maxwell fluid over a unidirectional linearly stretching sheet is studied under the influence of a magnetic field. The parabolic energy equation, which is based on parabolic Fourier law is replaced with a hyperbolic energy equation incorporating the heat flux model of Cattaneo–Christov. The Buongiorno model is used to characterize the properties of nanofluids using thermophoresis and Brownian diffusion coefficients. The phenomenon of melting heat transfer and slip mechanism is also embodied in the present study. Coupled nonlinear differential equations have appeared when the specified similarity transformations are applied. The mathematical problem is tackled via the homotopy analysis method. The impact of important physical parameters on the velocity, concentration, and temperature are highlighted via graphs. To verify our present results, a comparison is given with a limiting case with an already published article. It is witnessed through the graphs that the higher unsteadiness parameter and melting heat coefficient both are responsible for the reduction in the velocity and temperature of the nanofluid. Also, the velocity slip parameter detracts the velocity profile and affiliated boundary layer thickness of the Maxwell nanofluid.

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Alternating current magnetohydrodynamic electroosmotic flow of Maxwell fluids between two micro-parallel plates

Cited by 19 publications

References 40 publications

Dissipated electroosmotic EMHD hybrid nanofluid flow through the micro-channel

Dissipated electroosmotic EMHD hybrid nanofluid flow through the micro-channel

Effect of patterned hydrodynamic slip on electromagnetohydrodynamic flow in parallel plate microchannel*

Time‐dependent hydromagnetic stagnation point flow of a Maxwell nanofluid with melting heat effect and amended Fourier and Fick's laws

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