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Journal ArticleDOI

A Numerical Study of Natural Convection in a Horizontal Porous Layer Subjected to an End-to-End Temperature Difference

TLDR
In this paper, a numerical study of steady, natural convection in a fluid-saturated, horizontal, porous layer subjected to an end-to-end temperature difference was performed using a finite element computer program based on the Galerkin form of the finite element method.
Abstract
A numerical study of steady, natural convection in a fluid-saturated, horizontal, porous layer subjected to an end-to-end temperature difference is reported. The analysis is performed using a finite element computer program based on the Galerkin form of the finite element method. Heat transfer rates are predicted for aspect ratios ranging from 0.1 to 0.5 and Rayleigh numbers in the range 25 to 200. Representative plots of temperature and velocity fields are presented. Comparisons are made with an approximate analytical solution and regions of validity are identified for the analytical solution.

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Journal ArticleDOI

Variable-density flow and transport in porous media: approaches and challenges

TL;DR: Weaknesses and inconsistencies of current model-verification methods are discussed as well as benchmark solutions for solving the coupled spatio-temporal convection process, consistent velocity approximation, and error-based mesh adaptation techniques.
Journal ArticleDOI

Natural convection with combined heat and mass transfer buoyancy effects in a porous medium

TL;DR: In this paper, a comprehensive study of the natural convection phenomenon occurring inside a porous layer with both heat and mass transfer from the side is described, which is driven by a combination of buoyancy effects due to both temperature and concentration variations.
Journal ArticleDOI

A numerical study of non-darcian natural convection in a vertical enclosure filled with a porous medium

TL;DR: In this article, a numerical study of non-Darcian natural convection in a vertical enclosure filled with a porous medium is performed using the Brinkman-Forchheimer-extended Darcy equations.
Journal ArticleDOI

Winter-time convection in open-graded embankments

TL;DR: In this article, a numerical representation of the unsteady two-dimensional momentum and energy equations was used to study the ability of open-grained gravel embankments to maintain the structural integrity of thaw-unstable permafrost that often underlies roadway or airport embanksments in northern climates.
Journal ArticleDOI

Natural convection in a vertical porous annulus

TL;DR: In this article, the Brinkman-Forchheimer-extended Darcy model is used as the momentum equation and the effect of porosity variation is taken into consideration.
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