An analytical solution of the convection―dispersion―reaction equation for a finite region with a pulse boundary condition

摘要: Abstract Transport of particles through porous media is commonly described by the convection–dispersion–reaction equation. Although experimental studies are obviously performed in finite domains, a comparison with analytical solutions problematic because latter available for semi-infinite regions or subject to unrealistic boundary conditions. In present study, an solution equation obtained one-dimensional region. A pulse condition, widely used experiments, applied at inlet. Thus, although Danckwerts’ condition still outlet, formulation closer reality than those existing literature. The problem solved using Laplace transform, inverse transform based on complex and residue theory. effect various parameters, including dispersion coefficient, approach velocity attachment breakthrough curve shown. These parameters taken from typical data. dimensionless representation makes it possible define range where physically meaningful. It shown how Peclet number, velocity, domain length affects this range. data also presented. that suggested may be broad variety