Gradually-varied Flow Profiles in Open Channels

Analytical Solutions by Using Gaussian Hypergeometric Function

Chyan-Deng Jan (Autor)

Buch | Softcover

XIV, 188 Seiten

2016 | Softcover reprint of the original 1st ed. 2014
Springer Berlin (Verlag)
9783662511688 (ISBN)

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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.

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
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-13	9783662511688 / 9783662511688
Zustand	Neuware