On the Flow of an Electrically Conducting Fluid Near An Accelerated Plate in the Presence of a Magnetic Field

Gupta, Ajay

doi:10.1143/jpsj.15.1894

Cited by 45 publications

(15 citation statements)

References 3 publications

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“…On letting (1/k) → 0, (28) is reduced to an expression obtained early in the development of the subject by Gupta [5]. Gupta's discussions are, therefore, applicable to the magnetohydrodynamic system considered here.…”

Section: A Uniformly Accelerated Platementioning

confidence: 97%

“…5. The plate and fluid are considered at rest when t < 0, and the plate starts moving at t > 0 (with y = 0).…”

Section: The Case Of a Solid Platementioning

confidence: 99%

“…In the special case when α → 0 and (1/k) → 0, (30) yields the skin friction in the Newtonian fluid [5].…”

Section: A Uniformly Accelerated Platementioning

confidence: 99%

“…Gupta [5] investigated the velocity profile and skin friction of the flow of an electrically conducting fluid near an accelerated plate in the presence of a magnetic field. The analysis considered the flow of a Newtonian, electrically conducting, incompressible fluid in the presence of an external magnetic field.…”

Section: Introductionmentioning

confidence: 99%

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Magnetohydrodynamic flow of non-Newtonian visco-elastic fluid through a porous medium near an accelerated plate

Eldabe¹,

Moatimid²,

Ali³

2003

Can. J. Phys.

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An exact solution is obtained for the unsteady flow of an electrically conducting visco-elastic incompressible fluid through a porous medium on an infinite flat plate. The fluid under consideration obeys the rheological equations of state due to the Walters stress-strain relation. The plate is accelerated in the presence of a uniform magnetic field. The analysis includes the case of a solid plate as well as a porous one. The solution of the equations of motion is obtained by the use of a Laplace transform. The effects of the elasticity, magnetic field, permeability of the porous medium, and the suction of the plate on the velocity distribution, as well as on skin friction, are discussed. The analytical results are confirmed numerically. It is found that the velocity distribution increases with an increase of both elasticity and permeability, while it decreases as the magnetic parameter increases. It is also found that the skin friction decreases with an increase in the magnetic field and elasticity parameters, while it increases with an increase of both the permeability of the porous medium and the suction of the plate. PACS Nos.: 47.50.+d, 47.55.Mh, 47.85.Dh Résumé : Nous obtenons une solution exacte pour le problème de l'écoulement instable d'un fluide conducteur, viscoélastique et incompressible à travers un milieu poreux sur une surface plane infinie. Ce fluide obéit aux équations d'état rhéologiques dues à la relation effort-déformation de Walters. La plaque est accélérée et un champ magnétique est présent.L'analyse inclut aussi bien une plaque solide que poreuse. La solution des équations de mouvement est obtenue par transformation de Laplace. Nous analysons les effets de l'élasticité, du champ magnétique, de la perméabilité du milieu poreux et de la succion de la plaque sur la distribution de vitesse et sur la friction de surface. Les résultats analytiques sont confirmés par calcul numérique. Nous trouvons que la distribution de vitesse augmente avec l'élasticité et la perméabilité et décroît lorsque le champ magnétique croît. Nous trouvons aussi que la friction de surface diminue lorsque le champ magnétique et les paramètres d'élasticité augmentent.[Traduit par la Rédaction]

show abstract

Section: A Uniformly Accelerated Platementioning

confidence: 97%

“…5. The plate and fluid are considered at rest when t < 0, and the plate starts moving at t > 0 (with y = 0).…”

Section: The Case Of a Solid Platementioning

confidence: 99%

“…In the special case when α → 0 and (1/k) → 0, (30) yields the skin friction in the Newtonian fluid [5].…”

Section: A Uniformly Accelerated Platementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Magnetohydrodynamic flow of non-Newtonian visco-elastic fluid through a porous medium near an accelerated plate

Eldabe¹,

Moatimid²,

Ali³

2003

Can. J. Phys.

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show abstract

“…There are very few cases in which the exact analytic solution of Navier-Stokes equations can be obtained [4,6,9]. These are even rare if the constitutive equations for the viscoelastic fluid are considered.…”

Section: Introductionmentioning

confidence: 99%

Decay of vortex velocity and diffusion of temperature for fractional viscoelastic fluid through a porous medium

El-Shahed

Salem

2006

International Communications in Heat and Mass Transfer

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Recent developments of heat and mass transfer in hydromagnetic flows

Ram

1991

Int. J. Energy Res.

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On the Flow of an Electrically Conducting Fluid Near An Accelerated Plate in the Presence of a Magnetic Field

Cited by 45 publications

References 3 publications

Magnetohydrodynamic flow of non-Newtonian visco-elastic fluid through a porous medium near an accelerated plate

Magnetohydrodynamic flow of non-Newtonian visco-elastic fluid through a porous medium near an accelerated plate

Decay of vortex velocity and diffusion of temperature for fractional viscoelastic fluid through a porous medium

Recent developments of heat and mass transfer in hydromagnetic flows

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