Direct Solution to Problems of Open Channel Transitions

Abstract

Existing methods of solving problems of open channel transitions involve trials-and-error solution of higher degree equations and no direct solutions are available in technical literature. This paper presents unique dimensionless discharge-depth relationships for exponential, trapezoidal, and circular channels that facilitate direct solutions to various problems on horizontal, vertical, and combined horizontal-vertical transitions even with change in cross-sectional shape. Use of the proposed relationships is demonstrated with practical examples of culvert and aqueduct transitions.