Free convection and mass transfer flow through a porous medium bounded by an infinite vertical limiting surface with constant suction

Raptis, A.; Tzivanidis, G.; Kafousias, N. G.

doi:10.1016/0094-4548(81)90029-1

Cited by 103 publications

(32 citation statements)

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Section: Greek Symbolsmentioning

confidence: 99%

“…The effect of wall fluid blowing on the coupled heat and mass transfer boundary-layer flow over a vertical plate was investigated by Lai and Kulacki (1991) [5]. Raptis et al (1981) [6] obtained an analytical solution for the case of an infinite vertical wall in a porous medium with uniform wall suction effects.The open literature is rich with investigations dealing with natural convection flow of a Newtonian fluid in porous media. For example, Cheng and Minkowycz (1977) [7] presented similarity solutions for free thermal convection from a vertical plate embedded in a Newtonian fluid-saturated porous medium for situations where the wall temperature is a power-law function of the distance along the plate.…”

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Double-Diffusive Convective Flow of a Micropolar Fluid Over a Vertical Plate Embedded in a Porous Medium with a Chemical Reaction

Chamkha

Al-Mudhaf

Al-Yatama

2004

Inter J Fluid Mech Res

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The problem of steady, laminar, double-diffusive natural convection boundary-layer flow of a micropolar fluid over a vertical permeable semi-infinite plate embedded in a uniform porous medium in the presence of non-Darcian and thermal dispersion effects is investigated. Also, the model problem allows for possible heat generation or absorption and first-order chemical reaction effects. Both the wall temperature and wall concentration are assumed to have linear variations with the distance along the plate. Appropriate transformations are employed to transform the governing differential equations into a non-similar form that can be solved as an initial-value problem. The resulting equations are solved numerically by an efficient implicit, iterative, finite-difference scheme. The obtained results are checked against previously published work on special cases of the problem and are found to be in good agreement. A parametric study illustrating the influence of the microrotation material parameter, concentration to thermal buoyancy ratio, chemical reaction parameter, Schmidt number, heat generation or absorption and the surface suction or injection effects on the fluid velocity, microrotation, temperature and solute concentration as well as the local skin-friction coefficient, local wall microrotation coefficient and the local wall heat and mass transfer coefficients is conducted. The results of this parametric study are shown graphically and the physical aspects of the problem are highlighted and discussed. Greek Symbolseffective thermal diffusivity of the porous medium; α d thermal diffusivity of the porous medium due to thermal dispersion;Introduction Double-diffusive convection is referred to buoyancy-induced flow due to the combined effects of both temperature and concentration gradients. Double-diffusive convection from different geometries embedded in porous media has a wide range of engineering and geophysical applications such as geothermal reservoirs, drying of porous solids, thermal insulation, enhanced oil recovery, packed-bed catalytic reactors, cooling of nuclear reactors, and underground energy transport. Most early studies on porous media have used the Darcy law which is a linear empirical relation between the Darcian velocity and the pressure drop across the porous medium and is limited to relatively slow flows. However, for relatively higher velocity flow situations, the Darcy law becomes inadequate for representing the flow behavior correctly since it does not account for the resulting inertia effects of the porous medium. In this situation, the pressure drop has a quadratic relationship with the volumetric flow rate. The high flow situation is established when the Reynolds number based on the pore size is greater than unity. Vafai and Tien (1981) [1] discussed the importance of inertia effects for high velocity flows in porous media. Double-diffusive convection flow of a Newtonian fluid along a vertical surface embedded in a uniform porous medium was considered by Bejan (1984) [2] based on scale ...

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Section: Greek Symbolsmentioning

confidence: 99%

mentioning

confidence: 99%

Double-Diffusive Convective Flow of a Micropolar Fluid Over a Vertical Plate Embedded in a Porous Medium with a Chemical Reaction

Chamkha

Al-Mudhaf

Al-Yatama

2004

Inter J Fluid Mech Res

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“…Free convection and mass transfer flow through porous medium bounded by an infinite vertical limiting surface with constant suction have been analyzed by Rapits et al [2]Muthucumaraswamy [3] presented heat and mass transfer effects on a continuously moving isothermal vertical surface with uniform suction by taking into account the homogeneous chemical reaction of first order. Meenakshisundaram et al [4] investigated It is assumed that there is no applied voltage of which implies the absence of an electric field.…”

Section: Introductionmentioning

confidence: 99%

Unsteady MHD Free Convective Heat and Mass Transfer Flow Past a Vertical Porous Plate in the Presence of Radiation and Chemical Reaction

Buggaramulu¹,

Venkatakrishna²,

Harikrishna³

2017

IJERMT

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“…In many situations, the heat and mass transfer on the hydromagnetic flow near the vertical plate is encountered e.g., the cooling of nuclear reactor with electrically conducting coolants such as liquid sodium and mercury, studied by Rath and Parida [1]. Raptis [2] , Jha and Prasad [3] have studied the steady free-convection flow and mass transfer through a porous mediumbounded by an infinite vertical plate for the flow near plateby using the model of Yamamoto and Iwamura [4]. Gebhart and Pera [5] have studied the laminar flows which arise in fluids due to the interaction of the force of gravity and density differences caused by the simultaneous diffusion of thermal energy and of chemical species.…”

Section: Introductionmentioning

confidence: 99%

MHD Free Convective Radiative and Chemicaly Reactive Flow Over a Vertical Porous Surface in the Presence of Diffusion-Thermo Effect

Reddy¹,

Kumar²,

Reddy³

et al. 2017

IJAERS

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Free convection and mass transfer flow through a porous medium bounded by an infinite vertical limiting surface with constant suction

Cited by 103 publications

References 4 publications

Double-Diffusive Convective Flow of a Micropolar Fluid Over a Vertical Plate Embedded in a Porous Medium with a Chemical Reaction

Double-Diffusive Convective Flow of a Micropolar Fluid Over a Vertical Plate Embedded in a Porous Medium with a Chemical Reaction

Unsteady MHD Free Convective Heat and Mass Transfer Flow Past a Vertical Porous Plate in the Presence of Radiation and Chemical Reaction

MHD Free Convective Radiative and Chemicaly Reactive Flow Over a Vertical Porous Surface in the Presence of Diffusion-Thermo Effect

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