# 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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