Journal ArticleDOI
Momentum transfer at the boundary between a porous medium and a homogeneous fluid-I. Theoretical development
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In this paper, the authors developed a jump condition based on the non-local form of the volume averaged momentum equation, which produces a jump in the stress but not in the velocity, and this has important consequences for heat transfer processes.About:
This article is published in International Journal of Heat and Mass Transfer.The article was published on 1995-09-01. It has received 841 citations till now. The article focuses on the topics: Jump & Momentum transfer.read more
Citations
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Journal ArticleDOI
The Forchheimer equation : A theoretical development
TL;DR: In this article, the volume averaged momentum equation is used to derive Darcy's law with the Forchheimer correction for homogeneous porous media, and the closure problem can be used to prove that F is a linear function of the velocity, and order of magnitude analysis suggests that this linear dependence may persist for a wide range of Reynolds numbers.
Journal ArticleDOI
Analysis of fluid flow and heat transfer interfacial conditions between a porous medium and a fluid layer
Bader Alazmi,Kambiz Vafai +1 more
TL;DR: In this paper, a systematic analysis of the variances among diAerent boundary conditions establishes the convergence or divergence among competing models, and a set of correlations are given for interchanging the interface velocity and temperature as well as the average Nusselt number among various models.
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On the ability of a Darcy-scale model to capture wormhole formation during the dissolution of a porous medium
TL;DR: In this paper, the authors test the ability of a Darcy-scale model to describe the different dissolution regimes and to characterize the influence of the flow parameters on the wormhole development.
Journal ArticleDOI
Interfacial conditions between a pure fluid and a porous medium : implications for binary alloy solidification
M. Le Bars,M. Grae Worster +1 more
TL;DR: In this article, the Stokes-Darcy-Brinkman model is applied to some analytically tractable flows through adjacent porous and pure-fluid domains and is compared systematically with the multiple-domain Stokes−Darcy model.
Journal ArticleDOI
Momentum transport at a fluid–porous interface
TL;DR: In this article, the momentum balance at the interface between a liquid and a porous substrate is investigated for a configuration with forced flow parallel to the interface, where an heterogeneous continuously varying transition layer between the two outer bulk regions is introduced.
References
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Book
Convection in Porous Media
Donald A. Nield,Adrian Bejan +1 more
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
Boundary conditions at a naturally permeable wall
TL;DR: In this article, a simple theory based on replacing the effect of the boundary layer with a slip velocity proportional to the exterior velocity gradient is proposed and shown to be in reasonable agreement with experimental results.
Book
Principles of heat transfer in porous media
TL;DR: In this article, the authors identify the principles of transport in porous media and compare the available predicted results, based on theoretical treatments of various transport mechanisms, with the existing experimental results, and the theoretical treatment is based on the volume-averaging of the momentum and energy equations with the closure conditions necessary for obtaining solutions.
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A calculation of the viscous force exerted by a flowing fluid on a dense swarm of particles
TL;DR: In this paper, the viscous force exerted by a flowing fluid on a dense swarm of particles is described by a modification of Darcy's equation, which was necessary in order to obtain consistent boundary conditions.
Journal ArticleDOI
Flow in porous media I: A theoretical derivation of Darcy's law
TL;DR: In this article, the Brinkman correction is used to accommodate ano slip condition at an interface between a porous medium and a bounding solid surface, and the analysis clearly indicates why the Brimmerman correction should not be used to adjust the slip condition.