Hall effects on the unsteady hydromagnetic flows of an Oldroyd-B fluid

Asghar, S.; Parveen, Saima; Hanif, Saba; Siddiqui, A. M.; Hayat, Tasawar

doi:10.1016/s0020-7225(02)00153-2

Cited by 47 publications

(25 citation statements)

References 11 publications

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“…Asghar et al [5] studied the influence of the Hall currents on the unsteady hydromagnetic flows of an oldroyed-B-fluid. Megahed et al [6] investigated the effects of heat and mass transfer along a semi-infinite vertical flat plate under the combined buoyancy force of thermal and species diffusion in the presence of a strong non-uniform magnetic field and the Hall currents.…”

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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“…Motion of electrically conducting, Oldroyd-B fluid between two non-conducting parallel plates in a rotating system under uniform transverse magnetic field has been studied by Hayat et al [8]. Hall effects on unsteady fluid flows governed by Oldroyd-B model have been analyzed by Asghar et al [9] and Hayat et al [10]. Effect of Oldroyd fluid on unsteady free convective flow through porous medium along a moving porous hot vertical plate in presence of heat and mass transfer has been studied by Prasad et al [11].…”

Section: Introductionmentioning

confidence: 99%

Dusty Hydromagnetic Oldryod Fluid Flow in a Horizontal Channel with Volume Fraction and Energy Dissipation

Dey¹

2016

IJHT

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An unsteady magneto-hydrodynamics flow of dusty Oldroyd fluid through a horizontal channel has been investigated under the influence of dissipation of energy and volume fraction. This energy dissipation generates the mechanism of heat transfer in the governing fluid motion and the dust particles absorb the heat through conduction. To study the dusty-visco-elastic fluid flow, Saffman model and Oldroyd model have been used. The visco-elastic responses are exhibited through the two rheological parameters 1 & 2 (relaxation time and retardation time). To restrain the weak turbulent motion, a magnetic field of strength B0 is applied along the transverse direction to the plate. The lower plate of the horizontal channel is kept fixed but the upper one is oscillating with the velocity 0 (1 + ′ ′ ). The governing equations of motion are solved analytically and the results are discussed graphically/ numerically for various values of flow parameters involved in the solution.

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“…Hayat et al [3][4][5][6][7] constructed solutions of a number of problems concerning the flow of an Oldroyd-B fluid in various geometrical configurations which are (i) Some simple flows of an Oldroyd-B fluid, (ii) Exact solutions of flow problems of Oldroyd-B fluid, (iii) Hydromagnetic Couette flow of an Oldroyd-B fluid in a rotating system and (iv) Hall effect on flows of an Oldroyd-B through porous medium for cylindrical geometries and others. Asghar et al [8] presented the solution of a problem concerning Hall effects on unsteady hydromagnetic flows of an Oldroyd-B fluid. Khan et al [9][10][11] found (i) Exact solution for MHD flow of a generalized Oldroyd-B fluid with modified Darcy's law, (ii) Influence of Hall current on the flows of a generalized Oldroyd-B fluid in a porous space and (iii) New exact solutions of magnetohydrodynamic flows of an Oldroyd-B fluid.…”

Section: Introductionmentioning

confidence: 99%

On Hydromagnetic Flow of an Oldroyd-B Fluid Between Two Oscillating Plates

Ghosh

Datta

Sen

2015

Int. J. Appl. Comput. Math

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An initial value investigation is made of the motion of an incompressible, viscoelastic, electrically conducting Oldroyd-B fluid bounded by two infinite rigid nonconducting plates. The flow is generated impulsively from rest in the fluid due to rectilinear oscillations of given frequencies superimposed on the plates in their own planes in presence of an external magnetic field acting transversely to the plates. The operational method is used to derive exact solutions for the fluid velocity and the shear stress on the walls. The quantitative evaluation of the results is considered when two plates oscillate in phase but with different frequencies. The results are shown graphically for different time periods of oscillations of the plates which represent the cases: (i) the lower plate oscillates with a time period less than the upper, (ii) both the plates oscillate with the same time period and (iii) the lower plate oscillates with a time period grater than the upper. It is seen that the effect of fluid elasticity on the flow depends on the advancing and retarding motion of the plates. On the other hand, the magnetic field damps the fluid motion for all values of the time period of oscillations of the plates. The drag on the plates, for small and large time, are shown graphically when the time period of oscillation of the lower plate is small. For small values of time, the drag on the lower plate is negative with the amplitude decreasing continuously till the oscillations occur from moderately large values of time. Similar phenomenon also occurs for the drag which is positive at the upper plate for small values of time. In all cases, the amount of drag on the plates increases with the increase of the elasticity of the fluid and the magnetic field. Some particular results for the fluid velocity are derived as special cases of the present solution.

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Hall effects on the unsteady hydromagnetic flows of an Oldroyd-B fluid

Cited by 47 publications

References 11 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

Dusty Hydromagnetic Oldryod Fluid Flow in a Horizontal Channel with Volume Fraction and Energy Dissipation

On Hydromagnetic Flow of an Oldroyd-B Fluid Between Two Oscillating Plates

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