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

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Gradually-varied Flow Profiles in Open Channels: Analytical Solutions by Using Gaussian Hypergeometric Function (Advances in Geophysical and Environmental Mechanics and Mathematics) image
ISBN-10:

3642352413

ISBN-13:

9783642352416

Author(s): Jan, Chyan-Deng
Edition: 2014
Released: Feb 07, 2014
Publisher: Springer
Format: Hardcover, 202 pages
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Description:

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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