Modeling of solute dispersion in a circular pipe filled with micropolar fluid

In this paper we study the transport of a reactive solute through a thin (or long) cylindrical pipe filled with micropolar fluid. We suppose that the solute particles undergo a first-order chemical reaction at the lateral boundary of the pipe. The effective model for solute concentration is derived by means of a formal asymptotic analysis with respect to the pipe’s thickness. The asymptotic approximation is built, showing explicitly the effects of fluid microstructure and chemical reaction on the solute dispersion.