Kinematic‐Wave Method for Peak Runoff Estimates

Abstract

A set of algebraic equations to determine the design discharge for highway culverts is proposed. The kinematic‐wave theory and the concepts underlying the commonly used rational method are adopted to derive these design discharge equations. Various drainage basin configurations, among which are rectangular and converging catchments, cascades of planes and overland flow‐channel flow systems are considered. Composite basins with nonuniform slopes, roughness properties and runoff coefficients are included. In order to employ the proposed equations, the rainfall intensity‐duration relationships and the physical characteristics of the basin should be specified. Unlike empirical formulas used for the same purpose, the proposed equations are physically based. They can be employed for a variety of drainage situations within the limitations of the kinematic wave theory. A practical application section is included to show the use of the proposed equations.