Natural convection effects on thermal ignition in a porous medium. I. Semenov model

@article{Balakotaiah1990NaturalCE,
  title={Natural convection effects on thermal ignition in a porous medium. I. Semenov model},
  author={Vemuri Balakotaiah and P. Pourtalet},
  journal={Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences},
  year={1990},
  volume={429},
  pages={533 - 554}
}
A one-dimensional diffusion-convection-reaction model is formulated to account for natural convection effects on thermal ignition in an open system consisting of a porous medium. Various limiting cases of the model are considered. A detailed analysis of the Semenov (lumped) model is presented. Explicit relations are derived for the dependence of the critical Semenov number ( ψ c ) on the Rayleigh number ( R *). It is shown that for R * → 0, ψ c approaches the classical (conduction) limit e -1… CONTINUE READING

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