MHD free convection flow past an accelerated vertical plate

Raptis, A.; Singh, A. K.

doi:10.1016/0735-1933(83)90016-7

Cited by 104 publications

(66 citation statements)

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“…The first exact solutions for the free convection flow of an incompressible viscous fluid past an impulsively started vertical plate seem to be those of Soundalgekar [1] and Ingham [2]. The free convection flow of such a fluid past an accelerated vertical plate has been later studied by Soundalgekar and Gupta [3], Raptis and Singh [4] and Singh and Kumar [5]. The influence of a magnetic field on the flow was also taken into consideration by Rapthis and Singh.…”

Section: Introductionmentioning

confidence: 99%

General Solutions for Magnetohydrodynamic Natural Convection Flow with Radiative Heat Transfer and Slip Condition over a Moving Plate

Vieru

Fetecău

Akhter

2013

Zeitschrift Für Naturforschung A

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General solutions for the magnetohydrodynamic (MHD) natural convection flow of an incompressible viscous fluid over a moving plate are established when thermal radiation, porous effects, and slip condition are taken into consideration. These solutions, obtained in closed-form by Laplace transform technique, depend on the slip coefficient and the three essential parameters Gr, Pr eff , and K eff . They satisfy all imposed initial and boundary conditions and can generate a large class of exact solutions corresponding to different fluid motions with technical relevance. For illustration, two special cases are considered and some interesting results from the literature are recovered as limiting cases. The influence of pertinent parameters on the fluid motion is graphically underlined.

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Section: Introductionmentioning

confidence: 99%

General Solutions for Magnetohydrodynamic Natural Convection Flow with Radiative Heat Transfer and Slip Condition over a Moving Plate

Vieru

Fetecău

Akhter

2013

Zeitschrift Für Naturforschung A

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“…Kumari et al [11] have considered nonaxisymmetric unsteady motion over a rotating disk in the presence of natural convection and magnetic ¢eld effects. Raptis and Singh [12] have solved the problem of hydromagnetic natural convection £ow past an accelerated vertical plate. Takhar and Ram [13] magnetohydrodynamic natural convection £ow of water through a porous medium.…”

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confidence: 99%

Coupled Heat and Mass Transfer by Natural Convection About a Truncated Cone in the Presence of Magnetic Field and Radiation Effects

Chamkha¹

2001

Numerical Heat Transfer: Applications

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This work is focused on steady, laminar, coupled heat and mass transfer by natural convect ive boundary layer ow over a permeable isothermal truncated cone in the presence of magnetic eld and radiation effect s. A suitable set of dimensionless variables is used and nonsimilar equations governing the problem are obtained. The resulting equations have the property that they reduce to various special cases previously considered in the literature. An adequate implicit, tridiagonal nite difference scheme is employed for the numerical solution of the obtained equations. Various comparisons with previously published work are performed and the results are found to be in excellent agreement. Represent ative results for the velocity, temperature, and concentration pro les as well as the local skin-friction coef cient; local Nusselt number and the local Sherwood number illustrating the in uence of the Hartmann number; the concentration to thermal buoyancy ratio; and the wall mass transfer coef cient are presented and discussed. INTROD UCTIONThis article deals with steady, laminar, heat and mass transfer by natural convection hydromagnetic boundary layer £ow around an isothermal permeable truncated cone. This £ow and heat transfer situation is of considerable interest because it can occur in many geothermal, geophysical, technological, and engineering applications such as nuclear reactors, migration of moisture through air contained in ¢brous insulations, grain storage, nuclear waste disposal, dispersion of chemical pollutants through water-saturated soil, and others. The geothermal gases are electrically conducting and are affected by the presence of a magnetic ¢eld. The same is found regarding the cooling of nuclear reactors (see Aldoss et al. [1]).The natural convection heat transfer mode in various geometries has received a great deal of attention. For example, Kao [2] has reported on the local nonsimilarity solution for laminar natural convection adjacent to a vertical surface. Na [3] has considered natural convective £ow past a nonisothermal vertical £at plate and reported a numerical solution. Lin and Chen [4] have studied mixed convection on a vertical plate for £uids on any Prandtl number. The laminar natural convection

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“…If the magnetic field fixed relative to the plate, the momentum equation (1) is replaced by (see [Raptis and Singh (1983), Tokis (1985), Cramer and Pai (1973)…”

Section: Fig 1 Physical Modelmentioning

confidence: 99%

Analytical Investigations of Diffusion Thermo Effects on Unsteady Free Convection Flow Past an Accelerated Vertical Plate

Vijayakumar¹,

Kumaresan²,

Prakash³

2018

Frontiers in Heat and Mass Transfer

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The objective of this study is to investigate diffusion-thermo and radiation effects on unsteady free convection chemically reacting fluid flow past an accelerated infinite plate with variable temperature and mass diffusion under the influence of uniform transverse magnetic field when the magnetic lines of force are fixed relative to the fluid or to the plate. . Two important cases, when the magnetic lines of force are being fixed relative to the fluid (K=0) or to the moving plate (K=1) have been considered. A general exact solution of the dimensionless governing partial differential equations is obtained by Laplace transform technique without any restriction. The effects of various parameters describing the flow transport in the presence of thermal radiation and Dufour effect on the fluid velocity, temperature, concentration, the rate of heat transfer and the rate of mass transfer are concentrated on through graphs.

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MHD free convection flow past an accelerated vertical plate

Cited by 104 publications

References 1 publication

General Solutions for Magnetohydrodynamic Natural Convection Flow with Radiative Heat Transfer and Slip Condition over a Moving Plate

General Solutions for Magnetohydrodynamic Natural Convection Flow with Radiative Heat Transfer and Slip Condition over a Moving Plate

Coupled Heat and Mass Transfer by Natural Convection About a Truncated Cone in the Presence of Magnetic Field and Radiation Effects

Analytical Investigations of Diffusion Thermo Effects on Unsteady Free Convection Flow Past an Accelerated Vertical Plate

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