Abstract
The mass transport (advection‐dispersion) equations allowing coupled second‐order reaction (i.e. ω1C1 + ω2C2 k12? Re) between two constituents are derived and result in a set of coupled nonlinear partial differential equations. Neglecting the spatial dependence simplifies the equations and produces coupled nonlinear ordinary differential equations for which several analytical solutions are provided. The solutions may be used to illustrate the effect of the second‐order reaction mechanism as well as providing a means for evaluating the reaction constant k12.