Asymptotic Solutions for One-Dimensional Dispersion in Rivers

Abstract

One-dimensional dispersion in a river from an instantaneous point source is examined by using asymptotic solutions from three different models. The first solution is obtained for the Hays dead-zone equations. In comparison with the Taylor solution, the only major change seems to be that dead zones retard downstream movement of concentration peaks without changing either peak decay rates or tail geometries on concentration-time distributions. A second solution allows the dispersion coefficient to increase with