An anaytical solution of the vertically one-dimensional convection-diffusion equation

Abstract

The vertically one-dimensional diffusion equation has been solved analytically in the presence of downward convective velocity and boundary fluxes. The convection-diffusion equation has been transformed into a simple fiffusion equation amd the Galerkin eigenfunction method has been applied. Applications have been made on two problems, the determination of the time-varying vertical structure of suspended sediment associated with erosion and deposition processes, and the calculation of sea water temperature under surface heat flux.