  We consider the homogenization of a model of reactive flows through periodic
porous media involving a single solute which can be absorbed and desorbed on
the pore boundaries. This is a system of two convection-diffusion equations,
one in the bulk and one on the pore boundaries, coupled by an exchange reaction
term. The novelty of our work is to consider a nonlinear reaction term, a
so-called Langmuir isotherm, in an asymptotic regime of strong convection. We
therefore generalize previous works on a similar linear model [G. Allaire et
al, Chemical Engineering Science, 65 (2010), pp.2292-2300], [G. Allaire et al,
SIAM J. Math. Anal., 42 (2010), pp.125-144], [Allaire et al, IMA J Appl Math.,
77 (2012), pp.788-815]. Under a technical assumption of equal drift velocities
in the bulk and on the pore boundaries, we obtain a nonlinear monotone
diffusion equation as the homogenized model. Our main technical tool is the
method of two-scale convergence with drift [Marusic-Paloka et al, Journal of
London Math. Soc., 72 (2005), pp.391-409]. We provide some numerical test cases
in two space dimensions to support our theoretical analysis.
