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.

Sommario

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.

Riassunto

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.

Dettagli sul prodotto

• Autori: Chyan-Deng Jan
• Editore: Springer, Berlin
• Lingue: Inglese
• Formato: Copertina rigida
• Pubblicazione: 05.08.2014
• EAN: 9783642352416
• ISBN: 978-3-642-35241-6
• Pagine: 188
• Dimensioni: 162 mm x 243 mm x 17 mm
• Peso: 456 g
• Illustrazioni: XIV, 188 p. 34 illus., 7 illus. in color.
• Serie: Advances in Geophysical and Environmental Mechanics and Mathematics; Advances in Geophysical and Environmental Mechanics and Mathematics; Advances in Geophysical and Environmental Mechanics
• Categorie: Scienze naturali, medicina, informatica, tecnica > Fisica, astronomia > Meccanica, acustica; B, Earth and Environmental Science, Classical mechanics, Classical and Continuum Physics, Mechanics, Continuum physics