Gradually-varied flow profiles in open channels : analytical solutions by using gaussian hypergeometric function
著者
書誌事項
Gradually-varied flow profiles in open channels : analytical solutions by using gaussian hypergeometric function
（Advances in geophysical and environmental mechanics and mathematics / ed. Kolumban Hutter）
Springer, 2014
- hbk.
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注記
Includes bibliographical references
内容説明・目次
内容説明
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.
目次
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.
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