Ekman Layer on a Porous Plate

Hall effects on the MHD Couette flow between two infinite horizontal parallel porous plates in a rotating system under the boundary layer approximations have been studied. One of the plate is held at rest and the other one moves with uniform velocity. An exact solution of governing equation has obtained in closed form. Asymptotic behavior of the solution has analyzed for large values of magnetic parameter, rotation parameter and Reynolds number. It is observed that a thin boundary layer is formed near the stationary plate for large values of the rotation parameter, magnetic parameter and Reynolds number. The thickness of these boundary layers increases with increase in Hall parameter. The heat transfer characteristic has also discussed on taking viscous and Joule dissipations into account. It is found that an increase in Hall parameter, the temperature in flow field increases.

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“…Further, if 0 M  and 0 m  , then the equations (44) and (45) are identical with the results obtained by Gupta [13].…”

Section: Single Oscillating Platesupporting

confidence: 77%

Hall effects on MHD Couette flow in a rotating system

Jana

Datta

1980

Czech J Phys

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“…r = .005, .05, . 5,2,4,6,8,10,12,14. We observe from these figures that the boundary layer thickness steadily increases and then gives the behavior of a steady state after a certain time.…”

Section: -E~ (Eos ~ + I Sin ~)Erf C( (A + I/3)~/~ + ~) 'mentioning

confidence: 99%

“…The work of Coirier [2] for the case of a porous disk assuming that rotations are with the same angular velocity has been discussed by Erdogan [3]. He established, as did Gupta [4], that for uniform suction or uniform blowing at the disk an asymptotic profile exists for the velocity distribution. Murthy and Ram [5] have considered the magnetohydrodynamic flow due to eccentric rotations of a porous disk and a fluid at infinity.…”

Section: Introductionmentioning

confidence: 99%

Unsteady MHD flow due to non-coaxial rotations of a porous disk and a fluid at infinity

et al. 2001

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Summary. An exact solution of the unsteady three-dimensional Navier-Stokes equations is derived for the case of flow due to non-coaxial rotations of a porous disk and a fluid at infinity in the presence of a uniform transverse magnetic field. An analytical solution of the problem is established by the method of Laplace transform, and the velocity field is presented in terms of the tabulated functions. It is found that the boundary layer thickness in the cases of suction/blowing decreases with the increase in the magnetic parameter.

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“…This problem of spin-up in magnetohydrodynamic rotating fluids has been discussed under varied conditions by many researchers notably Gilman and Benton [1], Benton and Loper [2], Chawala [3] et al In all these analyses, the effects of magnetic field and rotation are considered. Further, Gupta [4] obtained an exact solution of the steady three-dimensional Navier-Stokes equations for the flow past a plate with uniform suction in a rotating coordinate system. He has discussed the structure of the steady velocity field and the associated boundary layer on the porous plate.…”

Section: Introductionmentioning

confidence: 99%

Exact solutions for magnetohydrodynamic flow in a rotating fluid

et al. 2002

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An analytical solution is obtained for the flow due to solid-body rotations of an oscillating porous disk and of a fluid at infinity. Neglecting the induced magnetic field, the effects of the transversely applied magnetic field on the flow are studied. Further, the flow confined between two disks is also discussed. It is found that an infinite number of solutions exist for the flow confined between two disks.

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Ekman Layer on a Porous Plate

Abstract: An exact solution of the steady three-dimensional Navier-Stokes equations is obtained for the case of flow past a porous plate at zero incidence in a rotating frame of reference. For uniform suction at the plate, an asymptotic profile exists for the velocity distribution.

Cited by 58 publications

References 1 publication

Hall effects on MHD Couette flow in a rotating system

Hall effects on MHD Couette flow in a rotating system

Unsteady MHD flow due to non-coaxial rotations of a porous disk and a fluid at infinity

Exact solutions for magnetohydrodynamic flow in a rotating fluid

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