Gradually-varied Flow Profiles in Open Channels
Analytical Solutions by Using Gaussian Hypergeometric Function
Seiten
2016
|
1. Softcover reprint of the original 1st ed. 2014
Springer Berlin (Verlag)
978-3-662-51168-8 (ISBN)
Springer Berlin (Verlag)
978-3-662-51168-8 (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.
Erscheinungsdatum | 02.09.2016 |
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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 |
Themenwelt | Naturwissenschaften ► Physik / Astronomie ► Mechanik |
Schlagworte | Classical Continuum physics • classical mechanics • Earth and Environmental Science • Gradually-varied Flow • Hydraulic engineering • Mechanics • Open Channel • River Engineering |
ISBN-10 | 3-662-51168-1 / 3662511681 |
ISBN-13 | 978-3-662-51168-8 / 9783662511688 |
Zustand | Neuware |
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