Journal ArticleDOI
Heat transfer in a layered porous medium heated from below
TLDR
In this paper, the authors investigated the heat transported by convection at slightly supercritical Rayleigh numbers and showed that the slope of the Nusselt-number graph at the critical point is nearly independent of cell width.Abstract:
Previous work by the present authors on the onset of convection in a layered porous medium heated from below is extended to an investigation of the heat transported by convection at slightly supercritical Rayleigh numbers.The two-dimensional convection patterns and associated values of the critical Rayleigh number, cell width and slope of the Nusselt-number graph are calculated for two- and three-layer configurations over a wide range of layer depth and permeability ratios. The results show that the commonly studied problem of a homogeneous layer bounded above and below by impermeable boundaries is a special case, in that the slope of the Nusselt-number graph at the critical point is nearly independent of cell width. For a homogeneous layer with a permeable upper boundary, and for multi-layered systems, the slope of this graph depends strongly on cell width.read more
Citations
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Journal ArticleDOI
Variable-density flow and transport in porous media: approaches and challenges
H.-J.G. Diersch,Olaf Kolditz +1 more
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
Natural convection in vertical enclosures containing simultaneously fluid and porous layers
TL;DR: In this paper, a numerical and experimental study of natural convection in a vertical rectangular fluid enclosure that is partially filled with a fluid-saturated porous medium is reported. But the authors did not consider the effect of the porous layer geometry on the degree of penetration of fluid into the medium.
Journal ArticleDOI
Density-driven groundwater flow in closed desert basins: field investigations and numerical experiments
TL;DR: In this paper, the authors present the results of 5 years of field investigation in Pilot Valley, Nevada, of a literature search for field studies in closed basins around the world, and of numerical simulations to examine the effect of heterogeneity on free convection.
Journal ArticleDOI
Anisotropic modelling of thermal convection in multilayered porous media
Robert McKibbin,Peder A. Tyvand +1 more
TL;DR: In this article, the principle of large-scale anisotropy due to small-scale layering is applied to thermal convection, where the motion takes place in a bounded porous medium heated from below.
References
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Journal ArticleDOI
Convection of a fluid in a porous medium
TL;DR: In this article, it was shown that under certain conditions convective flow may occur in fluid which permeates a porous stratum and is subject to a vertical temperature gradient, on the assumption that the flow obeys Darcy's law.
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
The Heat Transport and Spectrum of Thermal Turbulence
TL;DR: In this article, an upper limit to the heat transport is found subject to the constraint that some minimum eddy size exists which is effective in this transport, and the spectrum of convecting motions, the mean thermal gradients at each point and the eddy conductivity are then determined in terms of the minimum edddy size.
Journal ArticleDOI
Steady free convection in a porous medium heated from below
TL;DR: In this paper, an experimental and numerical study of steady free convection in a porous medium, a system dominated by a single nonlinear process, the advection of heat, is presented.