Two problems in homogenization of porous media.

Jesús Ildefonso Díaz

Extracta Mathematicae (1999)

  • Volume: 14, Issue: 2, page 141-155
  • ISSN: 0213-8743

Abstract

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The main goal of this work is to present two different problems arising in Fluid Dynamics of perforated domains or porous media. The first problem concerns the compressible flow of an ideal gas through a porous media and our goal is the mathematical derivation of Darcy's law. This is relevant in oil reservoirs, agriculture, soil infiltration, etc. The second problem deals with the incompressible flow of a fluid reacting with the exterior of many packed solid particles. This is related with absorption and adsorption phenomena in beds or towers, of interest in Chemical Engineering (separation, chemical industry, etc.).

How to cite

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Díaz, Jesús Ildefonso. "Two problems in homogenization of porous media.." Extracta Mathematicae 14.2 (1999): 141-155. <http://eudml.org/doc/38598>.

@article{Díaz1999,
abstract = {The main goal of this work is to present two different problems arising in Fluid Dynamics of perforated domains or porous media. The first problem concerns the compressible flow of an ideal gas through a porous media and our goal is the mathematical derivation of Darcy's law. This is relevant in oil reservoirs, agriculture, soil infiltration, etc. The second problem deals with the incompressible flow of a fluid reacting with the exterior of many packed solid particles. This is related with absorption and adsorption phenomena in beds or towers, of interest in Chemical Engineering (separation, chemical industry, etc.).},
author = {Díaz, Jesús Ildefonso},
journal = {Extracta Mathematicae},
keywords = {Medios porosos; Geometría diferencial; Medio físico; Corriente de fluidos; Convergencia débil; Homogeneización; Operadores; fluid mechanics; Darcy's law; Navier-Stokes system},
language = {eng},
number = {2},
pages = {141-155},
title = {Two problems in homogenization of porous media.},
url = {http://eudml.org/doc/38598},
volume = {14},
year = {1999},
}

TY - JOUR
AU - Díaz, Jesús Ildefonso
TI - Two problems in homogenization of porous media.
JO - Extracta Mathematicae
PY - 1999
VL - 14
IS - 2
SP - 141
EP - 155
AB - The main goal of this work is to present two different problems arising in Fluid Dynamics of perforated domains or porous media. The first problem concerns the compressible flow of an ideal gas through a porous media and our goal is the mathematical derivation of Darcy's law. This is relevant in oil reservoirs, agriculture, soil infiltration, etc. The second problem deals with the incompressible flow of a fluid reacting with the exterior of many packed solid particles. This is related with absorption and adsorption phenomena in beds or towers, of interest in Chemical Engineering (separation, chemical industry, etc.).
LA - eng
KW - Medios porosos; Geometría diferencial; Medio físico; Corriente de fluidos; Convergencia débil; Homogeneización; Operadores; fluid mechanics; Darcy's law; Navier-Stokes system
UR - http://eudml.org/doc/38598
ER -

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