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Journal ArticleDOI

Convective heat transfer in axisymmetric porous bodies

TLDR
In this article, a finite element method employing Galerkin's approach was developed to analyze free convection heat transfer in axisymmetric fluid saturated porous bodies, and the method was used to study the effect of aspect ratio and radius ratio on Nusselt number in the case of a proous cylindrical annulus.
Abstract
A finite element method employing Galerkin’s approach is developed to analyze free convection heat transfer in axisymmetric fluid saturated porous bodies. The method is used to study the effect of aspect ratio and radius ratio on Nusselt number in the case of a proous cylindrical annulus. Two cases of isothermal and convective boundary conditions are considered. The Nusselt number is always found to increase with radius ratio and Rayleigh number. It exhibits a maximum when the aspect ratio is around unity; maximum shifts towards lesser aspect ratios as Rayleigh number increases. Results are compared with those in the literature, wherever available, and the agreement is found to be good.

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Citations
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Journal ArticleDOI

Natural convective heat transfer in a fluid saturated variable porosity medium

TL;DR: In this article, a generalised non-Darcian porous medium model for natural convective flow has been developed taking into account linear and non-linear matrix drag components as well as the inertial and viscous forces within the fluid.
Journal ArticleDOI

Effect of viscous dissipation and radiation on natural convection in a porous medium embedded within vertical annulus

TL;DR: In this paper, the effect of viscous dissipation and thermal radiation on natural convection in a porous medium embedded within a vertical annular cylinder is investigated, where the inner surface of the cylinder was maintained at an isothermal temperature T w and the outer surface is maintained at ambient temperature T ∞.
Journal ArticleDOI

Thermal non-equilibrium modeling of heat transfer through vertical annulus embedded with porous medium

TL;DR: In this article, the steady state heat transfer in a porous medium fixed in a vertical annular cylinder is investigated, where the inner surface of the vertical annulus is maintained at constant wall temperature and the outer surface remains at ambient temperature.
Journal ArticleDOI

Heat transfer by radiation and natural convection through a vertical annulus embedded in porous medium

TL;DR: In this paper, the effect of radiation and natural convection in a saturated porous medium embedded in a vertical annular cylinder has been investigated, and the influence of aspect ratio (A) and radius ratio (R) on Nusselt number is presented.
Journal ArticleDOI

Heat Transfer in a Conical Cylinder with Porous Medium

TL;DR: In this article, numerical study of heat transfer in a conical annular cylinder fixed with saturated porous medium is presented, where the heat transfer is assumed to take place by natural convection and radiation.
References
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Book ChapterDOI

Heat Transfer in Geothermal Systems

TL;DR: In this paper, the authors discuss the mathematical formulation of convective heat transfer in geothermal systems and the prediction of reservoir behavior under production can be obtained by idealizing it as a saturated porous medium.
Journal ArticleDOI

A boundary-layer analysis for natural convection in vertical porous enclosures—use of the Brinkman-extended Darcy model

TL;DR: In this paper, a boundary-layer solution for natural convection in rectangular enclosures containing a porous medium is presented, which is based on the modified Oseen technique, and the flow field is found to be governed by the parameter E = Ra 0 Da / A.
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