Hydromagnetic flow in a rotating channel

Nanda, R. S.; Mohanty, H. K.

doi:10.1007/bf00411705

Cited by 39 publications

(10 citation statements)

References 5 publications

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“…For a pure fluid medium, this problem was solved by "VIDYANIDHI and NIGAM [10]. VIDYANIDHI [11] and NANDA and MOHANTY [12] extended ir in the framework of hydromagnetics. The effect of suction and injeetion on this flow was investigated hy VIDYA~IDHI et al [13].…”

Section: Ocp Dzmentioning

confidence: 99%

Heat transfer through a rotating channel in porous medium

Vidyanidhi

Rao

1978

Acta Physica

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A theoretical analysis of the hydrodynamic flow and its temperature distribution in a porous medium is presented for ah incompressible viscous fluid in a rotating channel, bounded by two impermeable infinite parallel plates at a constant temperatuve, under the action of a uniform preasure gradient in the direction of the flow. Ah exact solution of the governing equations is obtained. The flow is governed by the Darcy's number q dependent on the permeabUity k of the medium and the Taylor number T. The primary and the secondary flows, the temperature distribution, the shear stresses and the Nusselt number at the plates are studied in detail for various values of q and T. In general, q is found to have a stronger iafluence in reducing the mass flux and the temperature of the flow compared to rotation. For large values ofq (a > 10), there is no appreciable ehange in temperature and Nusselt number with rotation. When a and T are large, the flow is confined to a boundary layer in the vicinity of the plates.

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Section: Ocp Dzmentioning

confidence: 99%

Heat transfer through a rotating channel in porous medium

Vidyanidhi

Rao

1978

Acta Physica

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“…Paper [6] has examined the behaviour of the steady boundary layer flow over top and bottom plates of a rotating channel using momentum integral and series expansion methods. Also, certain aspects of the MHD flow in a rotating channel were investigated by a number of authors in [7][8][9][10], while paper [11] studied the steady flow on a stretching sheet in a rotating fluid. transformation, [15], to accelerate the convergence.…”

Section: Introductionmentioning

confidence: 99%

Nonsimilar boundary-layer flow over a stationary permeable plate in a rotating fluid with a magnetic field

Kumari

Nath

2003

Archive of Applied Mechanics (Ingenieur Archiv)

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The nonsimilar boundary-layer flow and heat transfer over a stationary permeable surface in a rotating fluid in the presence of magnetic field, mass transfer and free stream velocity are studied. The parabolic partial differential equations governing the flow have been solved numerically by using a difference-differential method. For small streamwise distance, these partial differential equations are also solved by a perturbation technique with Shanks transformation. For uniform mass transfer, analytical solutions are obtained. The surface skin friction coefficients and the Nusselt number increase with the magnetic field, suction and streamwise distance from the leading edge of the plate except the skin friction coefficient in the y-direction which decreases with the increasing magnetic field.Keywords Rotating fluid, Boundary layer, Magnetic field, Difference-differential method, Surface mass transfer IntroductionRotating and/or stratified flows of electrically conducting fluids in the presence of magnetic fields are encountered in cosmical and geophysical fluid dynamics. The effect of the Coriolis force due to the Earth's rotation is found to be significant as compared to the inertial and viscous forces in the equations of motion. The Coriolis and electromagnetic forces are of comparable magnitude, the former having a strong effect on the hydromagnetic flow in the Earth's liquid core, which plays an important role in the mean geomagnetic field, [1]. The MHD rotating fluids are also useful in solar physics involved in sunspot development, solar cycle and the structure of rotating magnetic stars, [2]. In spite of the importance of Coriolis and electromagnetic forces, only a few investigations exist in the literature. Paper [3] has considered the steady Ekman layer on a porous plate in a rotating fluid without the magnetic field. In papers [4] and [5], the unsteady MHD boundary layer flow on a flat plate in a rotating fluid was studied under certain simplifying assumptions and the resulting linear equations were solved. Paper [6] has examined the behaviour of the steady boundary layer flow over top and bottom plates of a rotating channel using momentum integral and series expansion methods. Also, certain aspects of the MHD flow in a rotating channel were investigated by a number of authors in [7-10], while paper [11] studied the steady flow on a stretching sheet in a rotating fluid. Recently, the effect of the magnetic field on the unsteady flow on a stretching sheet in a rotating electrically conducting fluid was considered in [12].In this paper, we have studied the combined effects of the magnetic field, surface mass transfer and free-stream velocity on the flow and heat transfer over a stationary permeable plate in a rotating fluid. The parabolic partial differential equations (PDEs) governing the flow and heat transfer have been solved using the difference-differential method (DDM), [13]. For small values of the streamwise distance n, we have also solved the PDEs using a perturbation expansion procedure, [14]. ...

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“…The Hall effects on the flow of ionized gas between parallel plates under transverse magnetic field have been studied by Sato [4]. Nanda and Mohanty [5] studied the hydromagnetic rotating channel flows. Datta and Jana [6] have discussed Hall effects on unsteady Couette flow.…”

Section: Introductionmentioning

confidence: 99%

Hall Effects on Unsteady Rotating MHD Flow Through Porous Channel with Variable Pressure Gradient

Das¹,

Mandal²,

Jana³

2013

IJCA

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Hall effects on an unsteady MHD flow of a viscous incompressible electrically conducting fluid in a horizontal porous channel with variable pressure gradient in a rotating system have been studied. We have considered three different cases (i) impulsive change of pressure gradient (ii) cosine oscillations of pressure gradient and (iii) sine oscillations of pressure gradient. The governing equations are solved analytically using the Laplace transform technique. It is found that interplay of Coriolis force and hydromagnetic force in the presence of pressure gradient and Hall currents plays an important role in characterizing the flow behavior. Effects of the parameters of these forces on the velocity distributions and shear stresses have been depicted graphically and discussed. It is found that the primary velocity increases with an increase in Hall parameter for the impulsive change, cosine and sine oscillations of the pressure gradient. The secondary velocity increases for the impulsive change and cosine oscillations of the pressure gradient while it decreases for sine oscillations of the pressure gradient with an increase in Hall parameter. Further, the shear stress due to the primary flow at the lower wall reduces for both the impulsive change and cosine oscillations of the pressure gradient whereas it increases for sine oscillations of the pressure gradient with an increase in Hall parameter.

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Hydromagnetic flow in a rotating channel

Cited by 39 publications

References 5 publications

Heat transfer through a rotating channel in porous medium

Heat transfer through a rotating channel in porous medium

Nonsimilar boundary-layer flow over a stationary permeable plate in a rotating fluid with a magnetic field

Hall Effects on Unsteady Rotating MHD Flow Through Porous Channel with Variable Pressure Gradient

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