Gradually-varied Flow Profiles in Open Channels
Analytical Solutions by Using Gaussian Hypergeometric Function
Nonfiction, Science & Nature, Science, Physics, Mechanics
| Author: | Chyan-Deng Jan | ISBN: | 9783642352423 |
| Publisher: | Springer Berlin Heidelberg | Publication: | January 8, 2014 |
| Imprint: | Springer | Language: | English |
| Author: | Chyan-Deng Jan |
| ISBN: | 9783642352423 |
| Publisher: | Springer Berlin Heidelberg |
| Publication: | January 8, 2014 |
| Imprint: | Springer |
| Language: | English |
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 (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.
