Gradually-varied Flow Profiles in Open Channels
Analytical Solutions by Using Gaussian Hypergeometric Function
Seiten
2014
|
2014
Springer Berlin (Verlag)
978-3-642-35241-6 (ISBN)
Springer Berlin (Verlag)
978-3-642-35241-6 (ISBN)
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.
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.
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.
| Erscheint lt. Verlag | 7.2.2014 |
|---|---|
| Reihe/Serie | Advances in Geophysical and Environmental Mechanics and Mathematics |
| Zusatzinfo | XIV, 188 p. 34 illus., 7 illus. in color. |
| Verlagsort | Berlin |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Gewicht | 451 g |
| Themenwelt | Naturwissenschaften ► Physik / Astronomie ► Mechanik |
| Schlagworte | Gradually-varied Flow • Hydraulic engineering • Open Channel • River Engineering |
| ISBN-10 | 3-642-35241-3 / 3642352413 |
| ISBN-13 | 978-3-642-35241-6 / 9783642352416 |
| Zustand | Neuware |
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