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.
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