Rigorous Upscaling of the Reactive Flow through a Pore, under Dominant Peclet and Damkohler Numbers

@article{Mikeli2006RigorousUO,
  title={Rigorous Upscaling of the Reactive Flow through a Pore, under Dominant Peclet and Damkohler Numbers},
  author={Andro Mikeli{\'c} and Vincent M. Devigne and C. J. van Duijn},
  journal={SIAM J. Math. Anal.},
  year={2006},
  volume={38},
  pages={1262-1287}
}
In this paper we present a rigorous derivation of the effective model for enhanced diffusion through a narrow and long 2D pore. The analysis uses a singular perturbation technique. The starting point is a local pore scale model describing the transport by convection and diffusion of a reactive solute. The solute particles undergo a first‐order reaction at the pore surface. The transport and reaction parameters are such that we have large, dominant Peclet and Damkohler numbers with respect to… 
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