Exact Analysis of Non-Linear Electro-Osmotic Flow of Generalized Maxwell Nanofluid: Applications in Concrete Based Nano-Materials

Murtaza, Saqib; Iftekhar, Muhammad; Ali, Gulzar; Aamina,; Khan, İlyas

doi:10.1109/access.2020.2988259

Cited by 26 publications

(9 citation statements)

References 25 publications

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“…Although Murtaza et al 62 presented an analytical solution of the fractional‐order thermal energy equation with Atangana‐Baleanu fractional time derivative, we have presented the numerical solution of the thermal energy equation by considering Reimann‐Liouville fractional‐order second‐grade model. To avoid the complexity of the analytical solution, while using Fourier and Laplace transforms and their inverse, a simple numerical model is presented in the next section.…”

Section: Heat Transfer Analysismentioning

confidence: 99%

“…With an aim to derive the numerical solution of Equations (15) and (30) along with the boundary conditions, we have employed finite difference (FD) implicit scheme. However, the closed‐form solution for thermal transport equation (30) has been developed by Murtaza et al 62 To employ FD scheme, the rectangular domain has been discretized by space grids

y_{j} = j ⁎ normalΔ y, j = 1 (1) m

and time grids

t_{k} = k ⁎ normalΔ t, k = 1 (1) n

, where

m = 1 / normalΔ y

and

n = T / normalΔ t

are the number of grids along space and time directions, respectively.…”

Section: Computational Schemementioning

confidence: 99%

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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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Section: Heat Transfer Analysismentioning

confidence: 99%

y_{j} = j ⁎ normalΔ y, j = 1 (1) m

and time grids

t_{k} = k ⁎ normalΔ t, k = 1 (1) n

, where

m = 1 / normalΔ y

and

n = T / normalΔ t

are the number of grids along space and time directions, respectively.…”

Section: Computational Schemementioning

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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“…To address the difficulty raised in the previous models, Atangana and Baleanu [18] presented the Mittag-Leffler function in 2016 to make the kernel of the fractional derivative operator non-local. Murtaza et al [19] examined the fractional electroosmotic flow of Maxwell fluid together with upshots of joule heating. The authors analyzed the flow in a microchannel with the Mittage-Leffler kernel of the Atangana-Baleanu derivative.…”

Section: Introductionmentioning

confidence: 99%

Finite Difference Simulation of Fractal-Fractional Model of Electro-Osmotic Flow of Casson Fluid in a Micro Channel

et al. 2022

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In this work, an evolving definition of the fractal-fractional operator with exponential kernel was employed to examine Casson fluid flow with the electro-osmotic phenomenon. Electrically conducted Casson fluid flow with the effect of the electro-osmotic phenomenon has been assumed in a vertical microchannel. With the help of relative constitutive equations, the local mathematical model is formulated in terms of partially coupled partial differential equations along with appropriate physical initial and boundary conditions. The dimensional governing equations have been non-dimensional by using relative similarity variables to encounter the units and reduce the variables. The local mathematical model has been transformed to a fractal-fractional model by using a fractal-fractional derivative operator with exponential kernel and then analyze numerically with the discretization of finite difference (Crank-Nicolson) scheme. For an insight view of the proposed phenomena, various plots are drawn in respect of inserted parameter. From the graphical analysis, it has been observed that the electro-kinetic k parameter retards the fluid's motion. It is also worth noting that graphs for the fractalfractional, fractional, and classical order parameters have been drawn. Due to the fractal order parameter, it was revealed that the fractal-fractional order model has a larger memory effect than the fractional-order and classical models.

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“…Aman et al [35] studied the natural convection flow of Maxwell fluid with graphene nanoparticles. Murtaza et al [36] examined the concrete nanoparticles in fractional Maxwell fluid. Exact solution was acquired via LT.…”

Section: Introductionmentioning

confidence: 99%

Closed-form solution of oscillating Maxwell nano-fluid with heat and mass transfer; an application in engine oil

Farooq

Alharbi

Rehman

et al. 2022

Preprint

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The primary goal of this article is to analyze the oscillating behavior of Maxwell Nano-fluid with regard to heat and mass transfer. Due to high thermal conductivity engine oil is taken as a base fluid and graphene Nano-particles are introduced in it. Coupled partial differential equations are used to model the governing equations. To evaluate the given differential equations, certain dimensionless factors and Laplace transformations are used. The analytical solution is obtained for temperature, concentration and velocity. The temperature and concentration gradient are also finds to analyze the rate of heat and mass transfer. As a special case, the solution for Newtonian fluid is discussed. Finally, the behaviors of various physical factors are studied graphically for both sine and cosine oscillation and give physical meanings to most of the parameters.

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Exact Analysis of Non-Linear Electro-Osmotic Flow of Generalized Maxwell Nanofluid: Applications in Concrete Based Nano-Materials

Cited by 26 publications

References 25 publications

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

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

Finite Difference Simulation of Fractal-Fractional Model of Electro-Osmotic Flow of Casson Fluid in a Micro Channel

Closed-form solution of oscillating Maxwell nano-fluid with heat and mass transfer; an application in engine oil

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