Effects of buoyancy and heterogeneous chemical reaction on unsteady convective diffusion of solute in a Boussinesq fluid flow

A closed - form solution is obtained for the problem concerning buoyancy - affected dispersion of solute in a Boussinesq fluid flow with wall - catalysed reaction. The long time Taylor (1953) and Aris (1956) regimes of dispersion for the present problem are obtained as limiting cases. The analytical result on dispersion of solute with wall catalysed reaction at long times is compared with the analytical solution when reaction is absent. The results have applications in heat exchangers, sediment - laden flows and extra - corporeal biomechanical situations.