Skip to main content
SpringerLink
Log in

Gradually-varied Flow Profiles in Open Channels

Analytical Solutions by Using Gaussian Hypergeometric Function

  • Book
  • © 2014

Overview

Authors:
  1. Chyan-Deng Jan

    1. Department of Hydraulic and Ocean Engineering, National Cheng Kung University, Tainan, Taiwan

    View author publications

    You can also search for this author in PubMed   Google Scholar

  • 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
  • Includes supplementary material: sn.pub/extras

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (5 chapters)

  1. Front Matter

    Pages i-xiv
    Download chapter PDF

  2. Basic Equations for the Gradually-Varied Flow

    • Chyan-Deng Jan
    Pages 1-20

  3. Conventional Integral Solutions of the GVF Equation

    • Chyan-Deng Jan
    Pages 21-35

  4. Normal-Depth-Based Dimensionless GVF Solutions Using the Gaussian Hypergeometric Function

    • Chyan-Deng Jan
    Pages 37-83

  5. Critical-Depth-Based Dimensionless GVF Solutions Using the GHF

    • Chyan-Deng Jan
    Pages 85-114

  6. Analysis of the GHF-Based Solutions of \(h_c\)-Based GVF Profiles

    • Chyan-Deng Jan
    Pages 115-146

  7. Back Matter

    Pages 147-188
    Download chapter PDF
Back to top

Keywords

About this book

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.

Authors and Affiliations

  • Department of Hydraulic and Ocean Engineering, National Cheng Kung University, Tainan, Taiwan

    Chyan-Deng Jan

Bibliographic Information

  • Book Title: Gradually-varied Flow Profiles in Open Channels

  • Book Subtitle: Analytical Solutions by Using Gaussian Hypergeometric Function

  • Authors: Chyan-Deng Jan

  • Series Title: Advances in Geophysical and Environmental Mechanics and Mathematics

  • DOI: https://doi.org/10.1007/978-3-642-35242-3

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Earth and Environmental Science, Earth and Environmental Science (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer-Verlag GmbH, DE, part of Springer Nature 2014

  • Hardcover ISBN: 978-3-642-35241-6Published: 07 February 2014

  • Softcover ISBN: 978-3-662-51168-8Published: 27 August 2016

  • eBook ISBN: 978-3-642-35242-3Published: 08 January 2014

  • Series ISSN: 1866-8348

  • Series E-ISSN: 1866-8356

  • Edition Number: 1

  • Number of Pages: XIV, 188

  • Number of Illustrations: 27 b/w illustrations, 7 illustrations in colour

  • Topics: Classical and Continuum Physics, Classical Mechanics

Publish with us

Policies and ethics

Back to top

Search

Navigation