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Journal ArticleDOI

Natural Convection from a Horizontal Permeable Surface in a Porous Medium- Numerical and Asymptotic Solutions

M. A. Chaudhary, +2 more
- 01 Mar 1996 - 
- Vol. 22, Iss: 3, pp 327-344
TLDR
In this paper, the similarity solution for free convection boundary-layer flow above a permeable, horizontal surface in a fluid-saturated porous medium is considered, and numerical solutions are presented for a wide range of values of γ and m.
Abstract
The equations which govern the similarity solution for free convection boundary-layer flow above a permeable, horizontal surface in a fluid-saturated porous medium are considered. These are seen to depend on the dimensionless parameters γ and m measuring mass transport rate and the wall temperature variation, respectively. Numerical solutions are presented for a wide range of values of γ and m. Asymptotic solutions are obtained for ¦γ¦ large (for both fluid injection, γ > 0, and fluid withdrawal, γ < 0) and for m large. These are compared with the numerical solutions.

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Citations
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Journal ArticleDOI

Lie Group Solution for Free Convective Flow of a Nanofluid Past a Chemically Reacting Horizontal Plate in a Porous Media

TL;DR: In this article, the optimal homotopy analysis method (OHAM) is employed to investigate the steady laminar incompressible free convective flow of a nanofluid past a chemically reacting upward facing horizontal plate in a porous medium taking into account heat generation/absorption and the thermal slip boundary condition.
Journal ArticleDOI

Free Convection Boundary Layer Flow from a Heated Upward Facing Horizontal Flat Plate Embedded in a Porous Medium Filled by a Nanofluid with Convective Boundary Condition

TL;DR: In this paper, the steady laminar incompressible free convective flow of a nanofluid over a permeable upward facing horizontal plate located in porous medium taking into account the thermal convective boundary condition is studied numerically.
Journal ArticleDOI

Lie Group Analysis of Natural Convective Flow from a Convectively Heated Upward Facing Radiating Permeable Horizontal Plate in Porous Media Filled with Nanofluid

TL;DR: Two-dimensional, steady, laminar and incompressible natural convective flow of a nanofluid over a connectively heated permeable upward facing radiating horizontal plate in porous medium is studied numerically and Brownian motion and thermophoresis effects are incorporated.
Journal ArticleDOI

Free- and mixed-convection flow past a horizontal surface in a nanofluid

TL;DR: In this paper, an analysis of the steady free and mixed-convection boundary-layer flow past a horizontal impermeable surface embedded in a porous medium filled with a nanofluid is performed.
References
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Book

Convection in Porous Media

TL;DR: In this paper, an introduction to convection in porous media assumes the reader is familiar with basic fluid mechanics and heat transfer, going on to cover insulation of buildings, energy storage and recovery, geothermal reservoirs, nuclear waste disposal, chemical reactor engineering and the storage of heat-generating materials like grain and coal.
Journal ArticleDOI

Natural-convection boundary-layer flow on a vertical surface with Newtonian heating

TL;DR: In this paper, the natural-convection boundary-layer flow on a vertical surface generated by Newtonian heating in which the heat transfer from the surface is proportional to the local surface temperature is discussed.
Journal ArticleDOI

Buoyancy induced flows in a saturated porous medium adjacent to impermeable horizontal surfaces

TL;DR: In this paper, boundary-layer analysis for buoyancy-induced flows in a saturated porous medium adjacent to horizontal impermeable surfaces is performed for the convective flow above a heated surface or below a cooled surface, where wall temperature is a power function of distance from the origin.
Book

Thermal flow in porous media

H.I. Ene, +1 more
TL;DR: In this paper, a systematic, rigorous and unified treatment to provide a general understanding of the phenomena involved in thermal flows in porous media is presented. But the treatment is basically mathematical, specific physical problems are also dealt with.
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