Thermal convection in micropolar fluids in porous medium

Sharma, Rakesh Chandmal; Gupta, Urvashi

doi:10.1016/0020-7225(95)00047-2

Cited by 61 publications

(31 citation statements)

References 11 publications

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“…Sharma and Gupta (1995) [19] studied thermal convection of micropolar fluids in porous media. Sharma and Kumar (1997) [20] reported on micropolar fluids heated from below in hydromagnetics in porous media.…”

Section: Greek Symbolsmentioning

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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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%

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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“…Sharma and Gupta [17] analyzed the effect of medium permeability on thermal convection in micropolar fluids and found that the presence of coupling between thermal and micropolar effects may introduce oscillatory motions in the system. Raptis [18] studied the boundary layer flow of a micropolar fluid through a porous medium.…”

Section: Introductionmentioning

confidence: 99%

Micropolar fluid flow towards a stretching/shrinking sheet in a porous medium with suction

Rosali¹,

Ishak²,

Pop³

2012

International Communications in Heat and Mass Transfer

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“…Jena and Bhattacharya [5] have investigated the effect of micro-structure on the thermal convection in a rectangular box of fluid heated from below. Sharma and Gupta [6] have considered the effect of medium permeability on the thermal convection in micropolar fluids. They reported that the presence of coupling between thermal and micropolar effects brings over stability in the system.…”

Section: Introductionmentioning

confidence: 99%

Transient buoyancy-opposed double diffusive convection of micropolar fluids in a square enclosure

Jena

Malla

Mahapatra

et al. 2015

International Journal of Heat and Mass Transfer

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Thermal convection in micropolar fluids in porous medium

Cited by 61 publications

References 11 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

Micropolar fluid flow towards a stretching/shrinking sheet in a porous medium with suction

Transient buoyancy-opposed double diffusive convection of micropolar fluids in a square enclosure

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