Gradually-varied Flow Profiles in Open Channels

Analytical Solutions by Using Gaussian Hypergeometric Function

  • Chyan-Deng┬áJan

About this book


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


Gradually-varied Flow Hydraulic Engineering Open Channel River Engineering

Authors and affiliations

  • Chyan-Deng┬áJan
    • 1
  1. 1.Department of Hydraulic and Ocean EngineeringNational Cheng Kung UniversityTainanTaiwan

Bibliographic information