Convective Instability of Reaction Fronts in Porous Media

K. Allali; A. Ducrot; A. Taik; V. Volpert

Mathematical Modelling of Natural Phenomena (2010)

  • Volume: 2, Issue: 2, page 20-39
  • ISSN: 0973-5348

Abstract

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We study the influence of natural convection on stability of reaction fronts in porous media. The model consists of the heat equation, of the equation for the depth of conversion and of the equations of motion under the Darcy law. Linear stability analysis of the problem is fulfilled, the stability boundary is found. Direct numerical simulations are performed and compared with the linear stability analysis.

How to cite

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Allali, K., et al. "Convective Instability of Reaction Fronts in Porous Media." Mathematical Modelling of Natural Phenomena 2.2 (2010): 20-39. <http://eudml.org/doc/222243>.

@article{Allali2010,
abstract = { We study the influence of natural convection on stability of reaction fronts in porous media. The model consists of the heat equation, of the equation for the depth of conversion and of the equations of motion under the Darcy law. Linear stability analysis of the problem is fulfilled, the stability boundary is found. Direct numerical simulations are performed and compared with the linear stability analysis. },
author = {Allali, K., Ducrot, A., Taik, A., Volpert, V.},
journal = {Mathematical Modelling of Natural Phenomena},
keywords = {natural convection; Darcy law; Boussinesq approximation; linear stability analysis; linear stability analysis},
language = {eng},
month = {3},
number = {2},
pages = {20-39},
publisher = {EDP Sciences},
title = {Convective Instability of Reaction Fronts in Porous Media},
url = {http://eudml.org/doc/222243},
volume = {2},
year = {2010},
}

TY - JOUR
AU - Allali, K.
AU - Ducrot, A.
AU - Taik, A.
AU - Volpert, V.
TI - Convective Instability of Reaction Fronts in Porous Media
JO - Mathematical Modelling of Natural Phenomena
DA - 2010/3//
PB - EDP Sciences
VL - 2
IS - 2
SP - 20
EP - 39
AB - We study the influence of natural convection on stability of reaction fronts in porous media. The model consists of the heat equation, of the equation for the depth of conversion and of the equations of motion under the Darcy law. Linear stability analysis of the problem is fulfilled, the stability boundary is found. Direct numerical simulations are performed and compared with the linear stability analysis.
LA - eng
KW - natural convection; Darcy law; Boussinesq approximation; linear stability analysis; linear stability analysis
UR - http://eudml.org/doc/222243
ER -

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