The effect of Hall currents on MHD flow and heat transfer between two parallel porous plates

Bharali, A.; Borkakati, A. K.

doi:10.1007/bf00457017

Cited by 19 publications

(8 citation statements)

References 5 publications

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“…Bharali and Borkakati [4] studied the effect of the Hall currents on the magnetohydrodynamic (MHD) flow of an incompressible, viscous and electrically conducting fluid between two nonconducting porous plates in the presence of a strong uniform magnetic field. Asghar et al [5] studied the influence of the Hall currents on the unsteady hydromagnetic flows of an oldroyed-B-fluid.…”

Section: Introductionmentioning

confidence: 99%

Influence of magnetic field and Hall currents on blood flow through a stenotic artery

Mekheimer

Kot

2008

Appl. Math. Mech.-Engl. Ed.

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A micropolar model for blood simulating magnetohydrodynamic flow through a horizontally nonsymmetric but vertically symmetric artery with a mild stenosis is presented. To estimate the effect of the stenosis shape, a suitable geometry has been considered such that the horizontal shape of the stenosis can easily be changed just by varying a parameter referred to as the shape parameter. Flow parameters, such as velocity, the resistance to flow (the resistance impedance), the wall shear stress distribution in the stenotic region, and its magnitude at the maximum height of the stenosis (stenosis throat), have been computed for different shape parameters, the Hartmann number and the Hall parameter. This shows that the resistance to flow decreases with the increasing values of the parameter determining the stenosis shape and the Hall parameter, while it increases with the increasing Hartmann number. The wall shear stress and the shearing stress on the wall at the maximum height of the stenosis possess an inverse characteristic to the resistance to flow with respect to any given value of the Hartmann number and the Hall parameter. Finally, the effect of the Hartmann number and the Hall parameter on the horizontal velocity is examined.

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Section: Introductionmentioning

confidence: 99%

Influence of magnetic field and Hall currents on blood flow through a stenotic artery

Mekheimer

Kot

2008

Appl. Math. Mech.-Engl. Ed.

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“…A uniform magnetic field with magnetic flux density vector B = (0, 0, 0 ) is applied; the induced magnetic field is neglected by taking a very small magnetic Reynolds number. The expression for the current density J including the Hall effect and neglecting ion-slip and thermoelectric effects is given by [40]…”

Section: Problem Formulationmentioning

confidence: 99%

Peristaltic Flow of a Nanofluid under the Effect of Hall Current and Porous Medium

Nowar

2014

Mathematical Problems in Engineering

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The problem of peristaltic flow of an incompressible viscous electrically conducting nanofluid in a vertical asymmetric channel through a porous medium is investigated by taking the Hall effects into account. The governing equations are formulated and simplified under the assumptions of long wavelength and low Reynolds number. The solutions for temperature and nanoparticle profiles are obtained by using the homotopy perturbation method (HPM) and closed form solutions for stream function and pressure gradient are developed. Finally, the effects of various emerging parameters on the physical quantities of interest are plotted and discussed.

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“…This phenomenon is called Hall effect. Bharali and Borkakati (1982) studied the effect of Hall currents on magnetohydrodynamic (MHD) flow of an incompressible viscous electrically conducting fluid between two non-conducting porous plates in the presence of a strong uniform magnetic field. Asghar et al (2003) studied the influence of Hall currents on the unsteady hydromagnetic flows of an Oldroyd-B-fluid.…”

Section: Introductionmentioning

confidence: 99%

Numerical technique of blood flow through catheterized arteries with overlapping stenosis

Kot

Abbas

2016

Computer Methods in Biomechanics and Biomedical Engineering

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This study is concerned with the surgical technique for the injection of a catheter through arteries with overlapping stenosis in the presence of externally applied magnetic field and Hall currents influences. The nature of blood is analyzed mathematically by considering it as a micropolar fluid. The analysis is carried out for an artery with a mild stenosis. The governing equations with the corresponding boundary conditions solved numerically using Crank-Nicolson implicit finite difference scheme. The numerical technique give excellent agreement for axial velocity of the fluid, the circumferential microrotation, the wall shear stress distribution and the contour plots of stream lines. The obtained results show that the value of axial velocity is higher for a Newtonian fluid than that for a micropolar fluid model, the effect of suitable moving magnetic field (Hall currents influences) accelerates the speed of blood, the size of trapped bolus for the stream lines decrease if the spinning movement of the fluid molecules have considerable value regardless of small or large size of the fluid molecules and the flow of fluid is better with increasing the Hall current effect and the size of trapping bolus increase clearly by increasing the maximum height of stenosis where the fluid moves as a bulk.

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The effect of Hall currents on MHD flow and heat transfer between two parallel porous plates

Cited by 19 publications

References 5 publications

Influence of magnetic field and Hall currents on blood flow through a stenotic artery

Influence of magnetic field and Hall currents on blood flow through a stenotic artery

Peristaltic Flow of a Nanofluid under the Effect of Hall Current and Porous Medium

Numerical technique of blood flow through catheterized arteries with overlapping stenosis

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