Gradually-varied Flow Profiles in Open Channels [electronic resource] : Analytical Solutions by Using Gaussian Hypergeometric Function / by Chyan-Deng Jan.
Series: Advances in Geophysical and Environmental Mechanics and MathematicsPublisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2014Description: XIV, 188 p. 34 illus., 7 illus. in color. online resourceContent type:- text
- computer
- online resource
- 9783642352423
- 531 23
- QC6.4.C6

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.