Gradually-varied Flow Profiles in Open Channels

Analytical Solutions by Using Gaussian Hypergeometric Function

Nonfiction, Science & Nature, Science, Physics, Mechanics
Cover of the book Gradually-varied Flow Profiles in Open Channels by Chyan-Deng Jan, Springer Berlin Heidelberg
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Author: Chyan-Deng Jan ISBN: 9783642352423
Publisher: Springer Berlin Heidelberg Publication: January 8, 2014
Imprint: Springer Language: English
Author: Chyan-Deng Jan
ISBN: 9783642352423
Publisher: Springer Berlin Heidelberg
Publication: January 8, 2014
Imprint: Springer
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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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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