MHD flow and heat transfer over a permeable stretching/shrinking sheet in a hybrid nanofluid with a convective boundary condition

Aly, Emad H.; Pop, Ioan

doi:10.1108/hff-12-2018-0794

Cited by 147 publications

(87 citation statements)

References 65 publications

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“…Moreover, dual solutions of hybrid nanofluid flow were examined by Waini et al [34][35][36][37][38][39]. Other physical aspects have been considered by several authors [40][41][42][43][44][45][46][47][48][49] and review papers are also available [50][51][52][53][54][55].…”

Section: Introductionmentioning

confidence: 99%

Hybrid Nanofluid Flow over a Permeable Non-Isothermal Shrinking Surface

2021

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In this paper, we examine the influence of hybrid nanoparticles on flow and heat transfer over a permeable non-isothermal shrinking surface and we also consider the radiation and the magnetohydrodynamic (MHD) effects. A hybrid nanofluid consists of copper (Cu) and alumina (Al2O3) nanoparticles which are added into water to form Cu-Al2O3/water. The similarity equations are obtained using a similarity transformation and numerical results are obtained via bvp4c in MATLAB. The results show that dual solutions are dependent on the suction strength of the shrinking surface; in addition, the heat transfer rate is intensified with an increase in the magnetic parameter and the hybrid nanoparticles volume fractions for higher values of the radiation parameter. Furthermore, the heat transfer rate is higher for isothermal surfaces as compared with non-isothermal surfaces. Further analysis proves that the first solution is physically reliable and stable.

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Section: Introductionmentioning

confidence: 99%

Hybrid Nanofluid Flow over a Permeable Non-Isothermal Shrinking Surface

2021

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“…Moreover, the effects of MHD and viscous dissipation have been studied by Lund et al 38 , considering Cu-Fe 3 O 4 /H 2 O hybrid nanofluid in a porous medium. Additionally, the problem of hybrid nanofluid flow with the effect of different physical parameters was also considered by several authors [39][40][41][42][43][44][45] .…”

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confidence: 99%

Hybrid nanofluid flow towards a stagnation point on a stretching/shrinking cylinder

Waini

Ishak

Pop

2020

Sci Rep

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This paper examines the stagnation point flow towards a stretching/shrinking cylinder in a hybrid nanofluid. Here, copper (Cu) and alumina (Al 2 o 3) are considered as the hybrid nanoparticles while water as the base fluid. The governing equations are reduced to the similarity equations using a similarity transformation. The resulting equations are solved numerically using the boundary value problem solver, bvp4c, available in the Matlab software. It is found that the heat transfer rate is greater for the hybrid nanofluid compared to the regular nanofluid as well as the regular fluid. Besides, the nonuniqueness of the solutions is observed for certain physical parameters. It is also noticed that the bifurcation of the solutions occurs in the shrinking regions. In addition, the heat transfer rate and the skin friction coefficients increase in the presence of nanoparticles and for larger Reynolds number. It is found that between the two solutions, only one of them is stable as time evolves.

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“…To this end, the continuity, momentum conservation, and energy conservation equations are 6,23

\frac{\partial u}{\partial x} + \frac{\partial v}{\partial y} = 0,

\frac{\partial u}{\partial t} + u \frac{\partial u}{\partial x} + v \frac{\partial u}{\partial y} = - \frac{1}{ρ_{h n f}} \frac{\partial p}{\partial x} + \frac{μ_{h n f}}{ρ_{h n f}} (\frac{\partial^{2} u}{\partial x^{2}} + \frac{\partial^{2} u}{\partial y^{2}}) - \frac{σ_{h n f}}{ρ_{h n f}} B_{0}^{2} \sin^{2} γ u,

\frac{\partial v}{\partial t} + u \frac{\partial v}{\partial x} + v \frac{\partial v}{\partial y} = - \frac{1}{ρ_{h n f}} \frac{\partial p}{\partial y} + \frac{μ_{h n f}}{ρ_{h n f}} (\frac{\partial^{2} v}{\partial x^{2}} + \frac{\partial^{2} v}{\partial y^{2}}),

\begin{matrix} 0.33em \\ \frac{\partial T}{\partial t} & + & u \frac{\partial T}{\partial x} + v \frac{\partial T}{\partial y} = \frac{1}{} \end{matrix}

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Section: Model Formulationmentioning

confidence: 99%

Numerical and machine learning analyses of entropy generation in an unsteady squeezing flow of copper/aluminum oxide/water hybrid nanofluid

et al. 2021

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Several studies have been carried out on the squeezing flow of mono‐nanofluids. However, this study investigates numerical and machine learning analyses of entropy generated in an unsteady squeezing flow of a copper–aluminum oxide/water hybrid nanofluid. Numerical analysis and the flow model simulation are done using the hybridization of Chebyshev pseudospectral and quasilinearization methods. The results show that the magnetic force is the most significant in the entropy generation number. A support vector machine learning model is introduced to calculate the average entropy generation number. The machine learning model's accuracy is measured using known performance metrics of regression models. The root mean square error is obtained as 4.1184, the mean absolute error as 1.8776, and the coefficient of determination ( R 2) as 0.995. Furthermore, the Hartman and Eckert numbers are identified to be highly positively correlated to the entropy generation number. However, for increasing values of the Hartman number, the temperature distribution between the two parallel plates decreases. We found that the temperature of copper/aluminum oxide/water nanofluid is greater than that of copper/water nanofluid, and the percentage difference between the temperature at the lower plate is estimated to be between 6% and 9% for H a ∈ [ 0 , 25 ].

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MHD flow and heat transfer over a permeable stretching/shrinking sheet in a hybrid nanofluid with a convective boundary condition

Cited by 147 publications

References 65 publications

Hybrid Nanofluid Flow over a Permeable Non-Isothermal Shrinking Surface

Hybrid Nanofluid Flow over a Permeable Non-Isothermal Shrinking Surface

Hybrid nanofluid flow towards a stagnation point on a stretching/shrinking cylinder

Numerical and machine learning analyses of entropy generation in an unsteady squeezing flow of copper/aluminum oxide/water hybrid nanofluid

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