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About 10,000 papers for “Porous medium”

Porous medium combustion

A. P. Aldushin, B. J. Matkowsky, Dan Schult et al. · Lecture notes in physics · 2008

Cited by 2

FLUID SATURATED POROUS MEDIUM

Convection From, A Vertical, Cone In et al. · 2016

This paper investigates the influence of double dispersion and viscosity on natu-ral convection heat and mass transfer from vertical cone in a non-Darcy porous medium saturated with non-Newtonian fluid. The surface of the cone and the am-bient medium are maintained at constant but different levels of temperature and concentration. The Ostwald-de Waele power law model is used to characterize the non-Newtonian fluid behavior. A similarity solution for the transformed go-verning equations is obtained. The numerical computation is carried out for var-ious values of the non-dimensional physical parameters. The effect of non-Darcy parameter, viscosity parameter, thermal, and solutal dispersion, buoyancy ratio, Lewis number, and power-law index parameter on the temperature and concen-tration field as well as on the heat and mass transfer coefficients is analyzed.

Cited by 0

Fractal porous medium equation

Karch, Grzegorz, Imbert, Cyril, Biler, Piotr · Base Institutionnelle de Recherche de l'université Paris-Dauphine (BIRD) (University Paris-Dauphine) · 2010

We study a generalization of the porous medium equation involving nonlocal terms. In particular, the $L^p$ decay of solutions of the Cauchy problem is proved. Explicit self-similar solutions with compact support generalizing the KZB (or Barenblatt) solutions are constructed in the case corresponding to transport equation with a nonlocal velocity.

Cited by 0

The Porous Medium Equation

Juan Luís Vázquez · 2006

Abstract The heat equation is one of the three classical linear partial differential equations of second order that form the basis of any elementary introduction to the area of PDEs, and only recently has it come to be fairly well understood. This book provides a presentation of the mathematical theory of the nonlinear heat equation usually called the Porous Medium Equation (PME). This equation appears in a number of physical applications, such as to describe processes involving fluid flow, heat transfer, or diffusion. Other applications have been proposed in mathematical biology, lubrication, boundary layer theory, and other fields. Each chapter contains a detailed introduction and is supplied with a section of notes, providing comments, historical notes or recommended reading, and exercises.

Cited by 744

Tracer transfer in consolidated porous medium and fractured porous medium : Experimentations and Modelling

Céline Dalla Costa, GAUDET, Jean-Paul · OpenGrey (Institut de l'Information Scientifique et Technique) · 2007

Ce travail a pour objectif d identifier et de modéliser les mécanismes physico-chimiques régissant les écoulements d eau et les transferts de solutés dans un milieu poreux consolidé fissuré.Un dispositif expérimental original a été mis en place, où un milieu fissuré modèle est reproduit en empilant des cubes poreux consolidés de 5 cm de côté : le cube . En parallèle, des études sont menées sur des colonnes du milieu poreux consolidé homogène. La même technique de traçage anionique est utilisée dans les deux cas. Selon une approche de dynamique des systèmes, on sollicite le dispositif avec des créneaux de concentration en traceur, pour obtenir des courbes de percée. Après avoir identifié bilan de masse et temps de séjour, nous avons calé les modèles CD et MIM sur les données expérimentales. Le modèle MIM permet de reproduire les courbes expérimentales sur le milieu poreux consolidé homogène de façon plus satisfaisante que le modèle CD. On obtient une fraction d eau mobile en cohérence avec la géométrie du milieu poreux. L étude de l influence de la vitesse de l écoulement met en évidence un régime de dispersion d interférence. L influence de la longueur d observation n a pas pu être mise en évidence dans ce cas.Nous avons par contre mis en évidence un effet de l échelle d observation sur le milieu poreux et fissuré en comparant les résultats obtenus sur un petit cube et un grand cube . Le modèle CD n est pas satisfaisant dans ce cas. Si le modèle MIM permet de reproduire les courbes de percée expérimentales, il n a pas été possible de caler des paramètres uniques pour toutes les expériences.

Cited by 0Open access

for the Porous Medium Equation

Theodora Eleftheriou · 2011

I confirm that this is my own work, and the use of all material from other sources has been properly and fully acknowledged. Signature:............................. Many non-linear partial differential equations cannot be solved analytically, and for that reason numerical approximations are required. Thus, an adaptive moving mesh method is used in this dissertation in order to examine the accuracy of the method based on monitor functions. The purpose of this dissertation is to investigate a moving mesh method, based on a conservation of mass principle applied to the dimensional porous medium equation (PME). Using the evolution of a self-similar solution of the PME, the moving mesh method is investigated in order to determine whether a good representation of these solutions is obtained. It also provides an assessment for the accuracy of the moving mesh method when the choice of monitor function varies. Analytical results for both mass and arc-length

Cited by 0

Combustion in a Porous Medium

Avner Friedman, Athanasios E. Tzavaras · SIAM Journal on Mathematical Analysis · 1988

A nonlinear time-dependent system of partial differential equations describing combustion in a porous medium is studied. Existence of a solution is established and its asymptotic behavior, as $t \to \infty $, is obtained.

Cited by 24

MICROSCOPIC EFFECTS AND POROUS MEDIUM

S Ghebouli · Revue Sciences Humaines (Université des Frères Mentouri Constantine 1) · 2007

The objective of this paper is to show an experimental work elucidating the effect of rock sample sizes on porosity. Otherwise, this testing reveals two domains :- The microscopic effects where a great variations in porosity should be observed.The homogeneous porous medium where the effect of adding or subtracting one or several pores, has no significant influence on the porosity

Cited by 0Open access

Flow in deformable porous medium

Mattout, R., Fonds de la Recherche et de la Technologie (FRT), 75 - Paris (France), Bertin, 75 - Paris (France) · OpenGrey (Institut de l'Information Scientifique et Technique) · 1984

Cited by 0

BACTERIA WITHIN A POROUS MEDIUM

Evangeline M Begaye-ibbotson · 1998

Acid processing of uranium ore resulted in aquifer contamination (nitrate, sulfate, and uranium) of the aquifer associated with the Navajo Sandstone formation at Tuba City, Arizona. The objectives of this study focused on the use of bioprocesses to remediate this aquifer contamination. The bench-scale objective of this study was to evaluate the ability of an indigenous microbial consortium to bioremediate nitrate contamination. The reduction of nitrate typically results in the production of nitrite, which under most conditions is further reduced to dinitrogen gas or ammonia. However, under some conditions inhibitory concentrations of nitrite may accumulate. Sandstone-packed columns fed with aquifer-relevant concentrations of nitrate were used to assess denitrification rates by indigenous bacteria. To enumerate denitrifying consortia used in the column experiments, most probable number (MPN) techniques were used. Sandstone-packed column influent and effluent data for nitrate, nitrite, carbon substrate and biomass concentrations were collected over time. These data were used to assess nitrate reduction rates within a sandstone column. This research demonstrates that with indigenous bacteria with stable conditions nitrate is reduced to dinitrogen forming only minimum levels of nitrite which should not inhibit sulfate-reducing bacteria (SRBs). The results of these studies indicate that bacterial denitrification has good potential as a remediation strategy for nitrate-contaminated groundwater to levels below the established regulatory

Cited by 0