Magnetohydrodynamic free convection flow of water at 4°C through a porous medium

Takhar, H. S.; Ram, P. C.

doi:10.1016/0735-1933(94)90005-1

Cited by 58 publications

(30 citation statements)

References 8 publications

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“…Raptis [11] investigated time varying two-dimensional natural convection flow of a viscous, incompressible and electrically conducting fluid past an infinite vertical porous plate embedded in a porous medium. Takhar and Ram [12] considered hydromagnetic free convection flow of water at 4 o C through porous medium. Chamkha [13] studied MHD free convection from a vertical plate embedded in a thermally stratified porous medium.…”

Section: Introductionmentioning

confidence: 99%

Numerical Solution of Unsteady Hydromagnetic Natural Convection Flow of Heat Absorbing Fluid past an Impulsively Moving Vertical Plate with Ramped Temperature

Seth

Sarkar

Mahato

2013

International Journal of Applied Mathematical Research

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A numerical investigation of unsteady hydromagnetic natural convection flow of a viscous, incompressible, electrically conducting and heat absorbing fluid past an impulsively moving vertical plate with ramped temperature embedded in a porous medium in the presence of thermal diffusion is carried out. The governing equations are solved numerically by Crank-Nicolson implicit finite difference scheme. The numerical solution for fluid velocity and fluid temperature are depicted graphically whereas the numerical values of skin friction and Nusselt number are presented in tabular form for various values of pertinent flow parameters. Natural convection flow near a ramped temperature plate is also compared with the flow near an isothermal plate.

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Section: Introductionmentioning

confidence: 99%

Numerical Solution of Unsteady Hydromagnetic Natural Convection Flow of Heat Absorbing Fluid past an Impulsively Moving Vertical Plate with Ramped Temperature

Seth

Sarkar

Mahato

2013

International Journal of Applied Mathematical Research

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“…Ram [10] considered hydromagnetic free convection flow of water at 4 o C through porous medium. Kim [11] investigated hydromagnetic natural convection flow past a vertical moving plate embedded in a porous medium.…”

Section: Introductionmentioning

confidence: 99%

Effects of Hall Current on Hydromagnetic Natural Convection Flow of a Heat Absorbing Fluid past an Impulsively Moving Vertical Plate with Ramped Temperature

Seth

Mahato

Sarkar

et al. 2012

International Journal of Applied Mathematical Research

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Effects of Hall current on unsteady MHD natural convection flow of a viscous, incompressible, electrically conducting and heat absorbing fluid past an impulsively moving vertical plate with ramped temperature in a porous medium, in the presence of thermal diffusion, is studied. The exact solution of momentum and energy equations, under Boussinesq approximation, is obtained in closed form by Laplace transform technique for both ramped temperature and isothermal plates. Solution is also obtained in the case of unit Prandtl number for ramped temperature plate. The expressions for skin friction due to primary and secondary flows and Nusselt number for both ramped temperature and isothermal plates are also derived. Mathematical formulation of the problem, in non-dimensional form, contains six pertinent flow parameters viz.

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“…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. Thermal radiation effects become important when the difference between the surface and the ambient temperature is large.…”

mentioning

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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Magnetohydrodynamic free convection flow of water at 4°C through a porous medium

Cited by 58 publications

References 8 publications

Numerical Solution of Unsteady Hydromagnetic Natural Convection Flow of Heat Absorbing Fluid past an Impulsively Moving Vertical Plate with Ramped Temperature

Numerical Solution of Unsteady Hydromagnetic Natural Convection Flow of Heat Absorbing Fluid past an Impulsively Moving Vertical Plate with Ramped Temperature

Effects of Hall Current on Hydromagnetic Natural Convection Flow of a Heat Absorbing Fluid past an Impulsively Moving Vertical Plate with Ramped Temperature

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

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