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Gradually-Varied Flow Profiles in Open Channels: Analytical Solutions by Using Gaussian Hypergeometric Function

Gradually-Varied Flow Profiles in Open Channels: Analytical Solutions by Using Gaussian Hypergeometric Function

Paperback

Series: Advances in Geophysical and Environmental Mechanics and Math

Physics

ISBN10: 3662511681
ISBN13: 9783662511688
Publisher: Springer Nature
Published: Aug 27 2016
Pages: 188
Weight: 0.64
Height: 0.43 Width: 6.14 Depth: 9.21
Language: English
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.

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Physics