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.

List of contents

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.

Summary

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.

Product details

• Authors: Chyan-Deng Jan
• Publisher: Springer, Berlin
• Languages: English
• Product format: Paperback / Softback
• Released: 01.01.2016
• EAN: 9783662511688
• ISBN: 978-3-662-51168-8
• No. of pages: 188
• Dimensions: 155 mm x 11 mm x 235 mm
• Weight: 318 g
• Illustrations: XIV, 188 p. 34 illus., 7 illus. in color.
• Series: Advances in Geophysical and Environmental Mechanics and Mathematics; Advances in Geophysical and Environmental Mechanics and Mathematics; Advances in Geophysical and Environmental Mechanics
• Subjects: Natural sciences, medicine, IT, technology > Physics, astronomy > Mechanics, acoustics; B, Earth and Environmental Science, Classical mechanics, Classical and Continuum Physics, Mechanics, Continuum physics