Gradually-varied Flow Profiles in Open Channels : Analytical Solutions by Using Gaussian Hypergeometric Function

Gradually-varied flow (GVF) is a steady non-uniform flow in an open channel with gradual changes in its water surface elevation.

The evaluation of GVF profiles under a specific flow discharge is very important in hydraulic engineering.

This book proposes a novel approach to analytically solve the GVF profiles by using the direct integration and Gaussian hypergeometric function.

Both normal-depth- and critical-depth-based dimensionless GVF profiles are presented.

The novel approach has laid the foundation to compute at one sweep the GVF profiles in a series of sustaining and adverse channels, which may have horizontal slopes sandwiched in between them.