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.