Abstract: The kinematic‐wave approximation is used to obtain a closed‐form solution for the catastrophic failure of a dam upon a wet, sloping channel. The solution shows that increasing the initial water depth upon the channel ...

Abstract: A solution for the complete and instantaneous collapse of a dam in a prismatic, infinitely‐long sloping channel is found by using the method of matched asymptotic expansions. The outer solution is a kinematic‐wave ...

Abstract: Conformal mapping techniques are used to calculate dimensionless flow rates to a collection gallery (a horizontal ditch or porous pipe) for four different combinations of aquifer geometry and boundary conditions. In all ...

Abstract: A closed‐form solution is obtained for a dam‐break problem in which the reservoir, dam breach, and downstream channel all have different widths. The reservoir outflow is calculated by using a quasi‐steady flow approximation, ...

Abstract: Major differences have often been observed between experimental measurements and solutions of the one-dimensional dispersion equation for the spreading of tracers in rivers. This paper compares calculated values of peak ...

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 ...