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Physics - Classical Continuum Physics | Gradually-varied Flow Profiles in Open Channels - Analytical Solutions by Using Gaussian Hypergeometric

Gradually-varied Flow Profiles in Open Channels

Analytical Solutions by Using Gaussian Hypergeometric Function

Jan, Chyan-Deng

2014, XIV, 188 p. 34 illus., 7 illus. in color.

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  • A novel approach is used to present analytical solutions of the gradually-varied-flow (GVF) profiles by using the direct integration and Gaussian hypergeometric function (2F1)
  • The 2F1-based solutions can henceforth play the role of the the varied-flow-function (VFF) table in the interpolation of the VFF-values used in the conventional method
  • Both normal-depth- and critical-depth-based dimensionless GVF profiles are presented
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

Content Level » Research

Keywords » Gradually-varied Flow - Hydraulic Engineering - Open Channel - River Engineering

Related subjects » Classical Continuum Physics

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