The Impact of Viscous Dissipation on the Thin Film Unsteady Flow of GO-EG/GO-W Nanofluids

Rehman, Ali; Salleh, Zabidin; Gul, Taza; Zaheer, Zafar

doi:10.3390/math7070653

Cited by 25 publications

(12 citation statements)

References 28 publications

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“…In this study, the effect of a magnetic field on the unsteady boundary layer stagnation point flow of a water-based nanofluid graphene oxide-water (GO-W) and graphene oxide-ethylene glycol (GO-EG) with stretching surfaces is explained. Rehman et al [27] studied analytically a thin-film unsteady nanofluid using a stretching sheet. Gul et al [28] discussed the performance of graphene oxide nanofluids flowing in an upright channel through a permeable medium.…”

Section: Introductionmentioning

confidence: 99%

Analytical Investigation of Magnetic Field on Unsteady Boundary Layer Stagnation Point Flow of Water-Based Graphene Oxide-Water and Graphene Oxide-Ethylene Glycol Nanofluid over a Stretching Surface

Rehman

Salleh

2021

Mathematical Problems in Engineering

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This study explains the effect of magnetic field of the stagnation point flow of a water-based nanofluid graphene oxide-water (GO-W) and graphene oxide-ethylene glycol (GO-EG). Heat transfer analyses are discussed by converting the given partial differential equation into a nonlinear ordinary differential equation using the similarity transformation and solved using an approximate analytical method, namely, the optimal homotopy analysis method (OHAM), to obtain an approximate analytical solution of the nonlinear problem that analyzes the problem. The BVPh 2.0 package function of Mathematica is used to obtain the numerical results. The results of important parameters such as the magnetic field parameter, unsteady parameter, stretching parameter, Prandtl number, Eckert number, and kinematic parameter for both velocity and temperature profiles are plotted and discussed. The convergence control parameter of the approximate analytical method is obtained up to the 25th iteration using the BVPh 2.0 package. The skin friction coefficient and Nusselt number are explained in tabular form.

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Section: Introductionmentioning

confidence: 99%

Analytical Investigation of Magnetic Field on Unsteady Boundary Layer Stagnation Point Flow of Water-Based Graphene Oxide-Water and Graphene Oxide-Ethylene Glycol Nanofluid over a Stretching Surface

Rehman

Salleh

2021

Mathematical Problems in Engineering

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“…Rehman et al, [16] used stretching cylinder to discuss the Marangoni convection of water-based CNT nanofluid. Rehman et al, [17] used stretching sheet to discuss viscous dissipation of thin film unsteady nanofluid. Due to the high oxidize structure, graphene is used as graphene oxide (GO).…”

Section: Introductionmentioning

confidence: 99%

Heat Transfer of Thin Film Flow Over an Unsteady Stretching Sheet with Dynamic Viscosity

Rehman

Salleh²,

Gul³

2021

ARFMTS

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This research paper explains the impact of dynamics viscosity of water base GO-EG/GO-W nanofluid over a stretching sheet. The impact of different parameter for velocity and temperature are displayed and discussed. The similarity transformation is used to convert the partial differential equation to nonlinear ordinary differential equation. The solution of the problem is obtained by using the optimal homotopy analysis method (OHAM). The BVPh 2.0 package function of Mathematica is used to obtain the numerical results. The result of important parameter such as magnetic parameter, Prandtl number, Eckert number, dynamic viscosity, nanoparticles volume fraction and unsteady parameter for both velocity and temperature profiles are plotted and discussed. The BVPh 2.0 package is used to obtain the convergences of the problem up to 25 iteration. The skin friction coefficient and Nusselt number is explained in table form.

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“…Membrane structures or structural components have received considerable attention in many applications [5][6][7]. However, the large deflection phenomena exhibited by elastic membrane structures or structural components are usually difficult to deal with analytically, due to the somewhat intractable nonlinear equations [8][9][10][11][12][13]. The famous German scientist Hencky, originally dealt with the problem of axisymmetric deformation of a transversely uniformly loaded and peripherally fixed circular membrane, and presented its closed-form solution in the form of a power series in 1915 [14].…”

Section: Introductionmentioning

confidence: 99%

A Revisit of the Boundary Value Problem for Föppl–Hencky Membranes: Improvement of Geometric Equations

et al. 2020

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In this paper, the well-known Föppl–Hencky membrane problem—that is, the problem of axisymmetric deformation of a transversely uniformly loaded and peripherally fixed circular membrane—was resolved, and a more refined closed-form solution of the problem was presented, where the so-called small rotation angle assumption of the membrane was given up. In particular, a more effective geometric equation was, for the first time, established to replace the classic one, and finally the resulting new boundary value problem due to the improvement of geometric equation was successfully solved by the power series method. The conducted numerical example indicates that the closed-form solution presented in this study has higher computational accuracy in comparison with the existing solutions of the well-known Föppl–Hencky membrane problem. In addition, some important issues were discussed, such as the difference between membrane problems and thin plate problems, reasonable approximation or assumption during establishing geometric equations, and the contribution of reducing approximations or relaxing assumptions to the improvement of the computational accuracy and applicability of a solution. Finally, some opinions on the follow-up work for the well-known Föppl–Hencky membrane were presented.

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The Impact of Viscous Dissipation on the Thin Film Unsteady Flow of GO-EG/GO-W Nanofluids

Cited by 25 publications

References 28 publications

Analytical Investigation of Magnetic Field on Unsteady Boundary Layer Stagnation Point Flow of Water-Based Graphene Oxide-Water and Graphene Oxide-Ethylene Glycol Nanofluid over a Stretching Surface

Analytical Investigation of Magnetic Field on Unsteady Boundary Layer Stagnation Point Flow of Water-Based Graphene Oxide-Water and Graphene Oxide-Ethylene Glycol Nanofluid over a Stretching Surface

Heat Transfer of Thin Film Flow Over an Unsteady Stretching Sheet with Dynamic Viscosity

A Revisit of the Boundary Value Problem for Föppl–Hencky Membranes: Improvement of Geometric Equations

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