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Journal ArticleDOI

Transport in ordered and disordered porous media: volume-averaged equations, closure problems, and comparison with experiment

TLDR
In this article, the authors consider transport in ordered and disordered rigid porous media and define order and disorder in terms of geometrical integrals that arise naturally in the method of volume averaging.
About
This article is published in Chemical Engineering Science.The article was published on 1993-07-01. It has received 216 citations till now. The article focuses on the topics: Closure problem & Porous medium.

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Citations
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Nuclear magnetic resonance as a tool to study flow

TL;DR: In this article, a review of NMR measurements of multiphase flows is presented with an emphasis on applications to multi-phase flows and their applications in the areas of sedimentation, suspension flows in Couette and pipe geometries, rheometers and viscometers, liquid-liquid multiphases flows, porous media flow, granular flows, and turbulence.
Journal ArticleDOI

Flow of non-Newtonian fluids in fixed and fluidised beds

TL;DR: In this paper, an attempt has been made to reconcile and to critically analyze the voluminous literature available on the flow of rheologically complex fluids through unconsolidated fixed beds and fluidised beds.
Journal ArticleDOI

Convection, dispersion, and interfacial transport of contaminants: Homogeneous porous media

TL;DR: In this article, a macroscopic model for homogeneous porous media using the method of local volume averaging is developed for describing the transport of a contaminant in an aquifer containing a trapped non-aqueous-phase liquid.
Journal ArticleDOI

Nonequilibrium in the transport of heat and reactants in combustion in porous media

TL;DR: In this paper, the authors summarize the processes leading to thermal and chemical nonequilibrium, their role in the combustion in porous media, their innovative uses and effects on applications, the current modeling of these processes and the modeling techniques that may allow for further improvements and developments.
Journal ArticleDOI

Investigations on the porous media equations and resistance coefficients for coastal structures

TL;DR: In this article, a new calibration case was introduced to the calibration procedure in order to achieve a better understanding of the variation of the resistance coefficients, and the coefficients were determined with a better description over the entire parameter space for the resistances than previously found in the literature.
References
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Book

Dynamics of fluids in porous media

Jacob Bear
TL;DR: In this paper, the Milieux poreux Reference Record was created on 2004-09-07, modified on 2016-08-08 and the reference record was updated in 2016.
Book

Heat Transfer

J. P. Holman
Book

Asymptotic analysis for periodic structures

TL;DR: In this article, the authors give a systematic introduction of multiple scale methods for partial differential equations, including their original use for rigorous mathematical analysis in elliptic, parabolic, and hyperbolic problems, and with the use of probabilistic methods when appropriate.
Book

Théorie des distributions

TL;DR: The merite as discussed by the authors is a date marque une date dans le progres des mathematiques and de la physique en levant l'ambiguite que constituait le succes des methodes de calcul symbolique aupres des physiciens and l'inacceptabilite de leurs formules au regard de la rigueur mathematiques.