Fingering instabilities of exothermic reaction-diffusion fronts in porous media

@article{Kalliadasis2004FingeringIO,
  title={Fingering instabilities of exothermic reaction-diffusion fronts in porous media},
  author={Serafim Kalliadasis and Jianbo Yang and Anne De Wit},
  journal={Physics of Fluids},
  year={2004},
  volume={16},
  pages={1395-1409}
}
We consider the density fingering of exothermic autocatalytic fronts in vertically oriented Hele-Shaw cells with chemical reactions whose solutal and thermal contributions to density changes have opposite signs. Using the Darcy–Boussinesq equations we examine the influence of the competition between solutal and thermal density changes on the linear stability of traveling fronts and the fully nonlinear dynamics. Ascending fronts are characterized by standard Rayleigh–Taylor fingering dispersion… 
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