Abstract
In this paper, we study the solute transport through a semi-infinite channel filled with a fluid saturated sparsely packed porous medium. A small perturbation of magnitude \(\varepsilon \) is applied on the channel’s walls on which the solute particles undergo a first-order chemical reaction. The effective model for solute concentration in the small-Peclet-number regime is derived using asymptotic analysis with respect to the small parameter \(\varepsilon \). The obtained mathematical model clearly indicates the effects of porous medium, chemical reaction and boundary distortion. In particular, the effect of porous medium parameter on the dispersion coefficient is discussed.
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