# 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} }

- Published in Proceedings of the Royal…1990
DOI:10.1098/rspa.1990.0072

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