Gradually-varied Flow Profiles in Open Channels: Analytical Solutions by Using Gaussian Hypergeometric Function (Advances in Geophysical and Environmental Mechanics and Mathematics)

Jan, Chyan-Deng

ISBN 10: 3642352413 / ISBN 13: 9783642352416

Editore: Springer, 2014

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Titolo: Gradually-varied Flow Profiles in Open ...

Casa editrice: Springer

Data di pubblicazione: 2014

Legatura: Hardcover

Condizione: Like New

Tipologia articolo: book

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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.

Contenuti:

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.