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
août 2016, env. 188 pages, Advances in Geophysical and Environmental Mechanics and Mathematics, Anglais
Springer EN
978-3-662-51168-8