This book shows how to solve GVF profiles using direct integration and Gaussian hypergeometric function. Lays groundwork for computing at one sweep the GVF profiles in a series of sustaining and adverse channels, which may have horizontal slopes between them.

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.

A novel approach is used to present analytical solutions of the gradually-varied-flow (GVF) profiles by using the direct integration and Gaussian hypergeometric function (2F1) The 2F1-based solutions can henceforth play the role of the the varied-flow-function (VFF) table in the interpolation of the VFF-values used in the conventional method Both normal-depth- and critical-depth-based dimensionless GVF profiles are presented Includes supplementary material: sn.pub/extras

Inhalt
Basic Equations for the Gradually-varied Flow.- Conventional Integral Solutions of the GVF Equation.- Normal-depth-based Dimensionless GVF Solutions Using the GHF.- Critical-depth-based Dimensionless GVF Solutions Using the GHF.- Analysis of the GHF-based Solutions of hc-based GVF Profiles.