Magnetohydrodynamic axisymmetric flow of a third-grade fluid between two porous disks

Shafiq, Anum; Nawaz, M.; Hayat, Tasawar; Alsaedi, A.

doi:10.1590/s0104-66322013000300017

Cited by 39 publications

(22 citation statements)

References 26 publications

(13 reference statements)

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“…Hayat et al [5] explained the characteristics of melting heat transfer in the boundary layer flow of third grade fluid in a region of stagnation point along a stretching sheet. Shafiq et al [6] considered the MHD axisymmetric flow of a third-grade fluid between two porous disks and solve the governing nonlinear problem by using the homotopy analysis method. Hatami et al [7] studied the effects of gold nanoparticles in a third-grade fluid past a porous vessel.…”

Section: Introductionmentioning

confidence: 99%

MHD axisymmetric flow of third grade fluid by a stretching cylinder

Hayat

Shafiq

Alsaedi

2015

Alexandria Engineering Journal

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116

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This work is focused on the analytic solution of steady boundary layer axisymmetric flow of third-grade fluid over a continuously stretching cylinder in the presence of magnetic field. Suitable transformations are considered to reduce the partial differential equation into the ordinary differential equation. The obtained non-linear differential system is solved by homotopy analysis method (HAM). The effects of the emerging parameters such as third-grade parameter, secondgrade parameters and Reynolds number on the velocity are displayed and discussed. The expression of skin-friction coefficient is computed and presented. It is found that velocity and momentum boundary layer thickness are increasing functions of curvature parameter. Velocity profile is higher for third-grade fluid when compared with Newtonian and second-grade fluids with and without MHD effects for the cases (i) stretching cylinder and (ii) flat plate. ª 2015 Faculty of Engineering, Alexandria University. Production and hosting by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).

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Section: Introductionmentioning

confidence: 99%

MHD axisymmetric flow of third grade fluid by a stretching cylinder

Hayat

Shafiq

Alsaedi

2015

Alexandria Engineering Journal

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116

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“…The phenomenon of heat and mass transfer is a subject of much interest due to its abundant of applications in refrigeration, cooling towers, membrane, the purification of blood in kidneys and liver, evaporation of water and separation of chemicals in distillation processes. Due to all these facts a numerical study of three dimensional MHD flow and heat transfer characteristics of couple over a rotating disk was investigated by Khan et al 3 Shafiq et al 4 described the analytical solution of MHD axisymmetric flow of a third grade fluid between two porous disks. The heat transfer effects in MHD thermal boundary layer over a stretching disk was investigated by Shateyi and Makinde.…”

Section: Introductionmentioning

confidence: 99%

MHD flow of a micropolar fluid over a stretchable disk in a porous medium with heat and mass transfer

et al. 2015

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This article studies the simultaneous impacts of heat and mass transfer of an incompressible electrically conducting micropolar fluid generated by the stretchable disk in presence of porous medium. The thermal radiation effect is accounted via Rosseland’s approximation. The governing boundary layer equations are reduced into dimensionless form by employing the suitable similarity transformations. A finite difference base algorithm is utilized to obtain the solution expressions. The impacts of physical parameters on dimensionless axial velocity, radial velocity, micro-rotation, temperature and concentrations profiles are presented and examined carefully. Numerical computation is performed to compute shear stress, couple stress, heat and mass rate at the disk.

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“…Appropriate transformations are used to convert the systems of non-linear partial differential equations into non-linear ordinary differential equations. Homotopy analysis method [27][28][29][30][31][32][33][34][35][36][37][38] is used to obtain the series solutions of the resulting mathematical problems. Numerical values of various emerging parameters of interest are computed and analyzed through graphs.…”

Section: Introductionmentioning

confidence: 99%

Effect of inclined magnetic field in flow of third grade fluid with variable thermal conductivity

et al. 2015

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This paper examines effects of inclined magnetic field and heat transfer in the flow of a third-grade fluid by an exponentially stretching surface. Formulation and analysis are given with heat source and sink. Thermal conductivity is taken temperature dependent. The governing boundary layer equations and boundary conditions are simplified through appropriate transformations. Resulting equations are solved for the approximate solutions. Convergence of governed problems is explicitly discussed. Influences of various dimensionless parameters such as on the flow and thermal fields are discussed. Local skin friction coefficient and the local Nusselt number are analyzed through tabulated values.

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Magnetohydrodynamic axisymmetric flow of a third-grade fluid between two porous disks

Cited by 39 publications

References 26 publications

MHD axisymmetric flow of third grade fluid by a stretching cylinder

MHD axisymmetric flow of third grade fluid by a stretching cylinder

MHD flow of a micropolar fluid over a stretchable disk in a porous medium with heat and mass transfer

Effect of inclined magnetic field in flow of third grade fluid with variable thermal conductivity

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