Heat and mass transfer in MHD flow by perturbation technique

Abdelkhalek, M.M.

doi:10.1016/j.commatsci.2007.12.003

Cited by 13 publications

(7 citation statements)

References 26 publications

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“…1-13. In these figures, we find a good agreement between the results obtained by a perturbation technique (Abdelkhalek [45]) and the present method. To discuss the figures clearly, the following notes are accordingly added.…”

Section: Resultssupporting

confidence: 86%

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Homotopy Peturbation Method for Heat and Mass Transfer in Magnetohydrodynamic Flow

Raftari

Yıldırım

2012

Journal of Thermophysics and Heat Transfer

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In this study, an approximate analytical solution of the magnetohydrodynamic natural convection flow and heat generation fluid driven by a continuously moving permeable surface immersed in a fluid-saturated porous medium is obtained using the homotopy perturbation method. The homotopy perturbation method produces analytical expressions for the solution of nonlinear differential equations. The obtained analytic solution is in the form of an infinite power series. In this work, the analytical solution is obtained by a special version of the homotopy perturbation method called the single-parameter homotopy perturbation method. In this method, only two terms of the homotopy perturbation method solution are used. The results reveal that the proposed method is very effective and simple, and it can be applied to other nonlinear problems. Also, it is shown that this method coincides with the perturbation method for the studied problem.

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Section: Resultssupporting

confidence: 86%

“…The purpose of this paper is to apply the single-parameter HPM [41][42][43][44][45][46][47], which is useful for finding an approximate analytical solution of MHD natural convection flow and heat generation fluid in a porous medium.…”

Section: Introductionmentioning

confidence: 99%

Homotopy Peturbation Method for Heat and Mass Transfer in Magnetohydrodynamic Flow

Raftari

Yıldırım

2012

Journal of Thermophysics and Heat Transfer

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“…Sivasankaran and Ho [7] investigated numerically the effect of magnetic field on flow in a rectangular enclosure. Recently, Abdelkhalek [8] investigated this problem using a perturbation technique and reported that the imposed magnetic field diminishes the wall shear. The properties of human blood as well as blood vessels and the magnetic field effect were the subjects of interest for several researchers [9][10][11][12].…”

Section: Introductionmentioning

confidence: 99%

Magnetic field effect on fluid flow characteristics in a pipe for laminar flow

2011

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The influence of a magnetic field on the skin friction factor of steady fully-developed laminar flow through a pipe was studied experimentally. A mathematical model was introduced and a finite difference scheme used to solve the governing equations in terms of vorticity-stream function. The model predictions agree favourably with experimental results. It is observed that the pressure drop varies in proportion to the square of the product of the magnetic field and the sine of the magnetic field angle. Also, the pressure drop is proportional to the flow rate. This situation is similar to what applies in the absence of a magnetic field. It is found that a transverse magnetic field changes the axial velocity profile from the parabolic to a relatively flat shape. At first, the radial velocity rises more rapidly and then gradually decreases along the pipe until falling to zero. A numerical correlation can be written for the considerable distance required for the new axial velocity profile to establish. Owing to the changes taking place in the axial velocity profile, it exhibits a higher skin friction factor. The new axial velocity profile asymptotically approaches its limit as the Hartmann number becomes large.

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“…Sivasankaran and Ho [8] investigated numerically the effect of magnetic field on flow and heat transfer characteristics in a rectangular enclosure. Very recently, Abdelkhalek [9] investigated the problem using a perturbation technique and reported that the imposed magnetic field diminishes the wall shear and wall heat transfer. For laminar pipe flow, the literature regarding flow and heat transfer characteristics with magnetic fields are relatively scarce [10].…”

Section: Introductionmentioning

confidence: 99%

Magnetic field effect on laminar heat transfer in a pipe for thermal entry region

2011

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The influence of a transverse magnetic field on the local heat transfer of an electrically-conducting laminar fluid flow with high Prandtl number through a pipe was studied experimentally. Experiments indicated an increase in the local Nusselt number. The coupled set of the equations of motion and the energy equation including the viscous and Joule dissipation terms becomes non-linear and is solved numerically using a finite difference scheme. Favorable comparisons with experimental results confirm the correctness of the numerical results. It is found that the influence of magnetic field can be diminished by reducing the angle between the flow direction and the direction of magnetic field. The wall temperature reduces as the value of Hartmann number increases and the reduction rate of the wall temperature decreases as the value of Hartmann number exceeds a certain value. The average Nusselt number asymptotically approaches its limit as the Hartmann number becomes larger. Also, curve fitting can be employed to derive an equation for the average Nusselt number as a function of the Hartmann number. This equation is similar to the Sieder-Tate equation. It is observed that increasing the Hartmann number has no considerable effect on the thermal boundary layer thickness but decreases the temperature of fluid layers inside the boundary layer.

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Heat and mass transfer in MHD flow by perturbation technique

Cited by 13 publications

References 26 publications

Homotopy Peturbation Method for Heat and Mass Transfer in Magnetohydrodynamic Flow

Homotopy Peturbation Method for Heat and Mass Transfer in Magnetohydrodynamic Flow

Magnetic field effect on fluid flow characteristics in a pipe for laminar flow

Magnetic field effect on laminar heat transfer in a pipe for thermal entry region

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