Electroosmotic flow of fractional Oldroyd‐B fluid through a vertical microchannel filled with a homogeneous porous medium: Numerical and semianalytical solutions

Alsharif, Abdullah M.; Abdellateef, A. I.; Elmaboud, Y. Abd

doi:10.1002/htj.22488

Cited by 9 publications

(4 citation statements)

References 51 publications

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“…The non-dimensional ODEs obtained with corresponding boundary condition via the similarity transformations (25) into Eqs. (16)(17)(18) are as follows:…”

Section: Lie Group Scaling Transformationsmentioning

confidence: 99%

“…This fluid model displays a shear thinning attributes such that there exists a decline in the viscosity as the shear rate rises, Hassan et al [17]. This unique feature of tangent hyperbolic fluid makes it a sought after in bio-engineering operations, for instance, the thinning attributes of blood flow in the body serves as a prevention to the obstruction of arteries and veins such that coagulation effect is minimized, Alsharif et al [18]. In view of such striking characteristics, various researchers have applied this fluid model to analyze various flow problems under different configurations.…”

Section: Introductionmentioning

confidence: 99%

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Thermal distribution of magneto-tangent hyperbolic flowing fluid over a porous moving sheet: A Lie group analysis

Disu

Salawu

2023

J. Nig. Soc. Phys. Sci.

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An investigation of magneto-hyperbolic tangent fluid motion through a porous sheet which stretches vertically upward with temperature-reliant thermal conductivity is scrutinized in this study. The current model characterizes thermal radiation and the impact of internal heat source in the heat equation plus velocity and thermal slipperation at the wall. The translation of the transport equations is carried out via the scaling Lie group technique and the resultant equations are numerically tackled via shooting scheme jointly with Fehlberg integration Runge-Kutta scheme. The results are publicized through various graphs to showcase the reactions of the fluid terms on the thermal and velocity fields. From the investigations, it is found that rising values of the material Weissenberg number, slip and suction terms damped the hydrodynamic boundary film whereas the heat field is prompted directly with thermal conductivity.

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“…The non-dimensional ODEs obtained with corresponding boundary condition via the similarity transformations (25) into Eqs. (16)(17)(18) are as follows:…”

Section: Lie Group Scaling Transformationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Thermal distribution of magneto-tangent hyperbolic flowing fluid over a porous moving sheet: A Lie group analysis

Disu

Salawu

2023

J. Nig. Soc. Phys. Sci.

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“…Introducing the fractional constitutive equation of shear stress for Oldroyd-B hybrid nanofluid 22 : where α and β denote relaxation and retardation fractional derivatives of velocity, respectively, λ 1 and λ 2 indicate relaxation time and retardation time of velocity, respectively, and are Caputo fractional derivative operators, is defined as 23 : where is Gamma function, 0 ≤ α ≤ 1.…”

Section: Mathematical Modelmentioning

confidence: 99%

Numerical investigation on flow, heat and mass transfer performance of fractional Oldroyd-B hybrid nanofluid as a coolant for power battery

2023

Sci Rep

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This paper introduced for the first time a viscoelastic hybrid nanofluid as the coolant for direct contact cooling power battery. The governing boundary layer equations were established by adopting fractional Oldroyd-B model and fractional Buongiorno’s model. Second-order velocity slip boundary conditions were also considered. Then the solutions were numerically acquired by finite difference coupled with L1 algorithm. Impact of main physical parameters on the flow, heat and mass transfer of the viscoelastic hybrid nanofluid on the cylindrical battery was graphically presented and detailly discussed. Outcomes show that the heat transfer is improved by both Brownian motion(Nb) and thermophoresis(Nt) to different degrees. When Nb grows from 0.05 to 0.1, the average Nusselt number increases by 2.2%, higher than 0.027% of Nt. The slip behavior only affects the velocity distribution near the individual cell and slightly enhances heat and mass transfer. The velocity relaxation fractional derivative contributes to convection, heat and mass transfer on the cell wall, while velocity retardation fractional derivative behaves just the opposite. The proposed viscoelastic hybrid nanofluid with appropriate volume fractions of nanoparticles enhances heat transfer on the cell wall and is strongly recommended as a candidate for power battery coolant.

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“…The flow takes place in a vertical microchannel that is filled with a porous medium. Khan et al [20] investigate the Casson fluid with the Caputo (C) time derivative. The C and Caputo Fabrizio (CF) comparative analysis of second-grade fluid with Newtonian heating was investigated by Imran et al [21].…”

Section: Introductionmentioning

confidence: 99%

Exact Analysis of Fractionalised Jeffrey Fluid in a Channel with Caputo and Caputo Fabrizio Time Derivative: A Comparative Study

Asgir,

Riaz,

Islam

2023

Acta Mechanica Et Automatica

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The non-integer order derivatives, Caputo (C) and Caputo Fabrizio (CF), were employed to analyse the natural convective flow of magnetohydrodynamic (MHD) Jeffrey fluid. The aim is to generalise the idea of Jeffrey’s fluid flow. The fluid flow is elaborated between two vertical parallel plates. One plate is kept fixed while the other is moving with the velocity U0f(t), which induces the motion in the fluid. The fluid flow problem is modelled in terms of the partial differential equation along with generalised physical conditions. The appropriate parameters are introduced to the dimensionless system of equations. To obtain the solutions, the Laplace transform (LT) is operated on the fractional system of equations, and the results are presented in series form. The pertinent parameter’s influence on the fluid flow is brought under consideration to reveal interesting results. In comparison, we noticed that the C approach shows better results than CF, and graphs are drawn to show the results. The results for ordinary Jeffrey fluid, second-grade and viscous fluid are obtained in a limiting sense.

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Electroosmotic flow of fractional Oldroyd‐B fluid through a vertical microchannel filled with a homogeneous porous medium: Numerical and semianalytical solutions

Cited by 9 publications

References 51 publications

Thermal distribution of magneto-tangent hyperbolic flowing fluid over a porous moving sheet: A Lie group analysis

Thermal distribution of magneto-tangent hyperbolic flowing fluid over a porous moving sheet: A Lie group analysis

Numerical investigation on flow, heat and mass transfer performance of fractional Oldroyd-B hybrid nanofluid as a coolant for power battery

Exact Analysis of Fractionalised Jeffrey Fluid in a Channel with Caputo and Caputo Fabrizio Time Derivative: A Comparative Study

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