Advances in Geophysical and Environmental Mechanics and Mathematics

Gradually-varied Flow Profiles in Open Channels

Analytical Solutions by Using Gaussian Hypergeometric Function

Authors: Jan, Chyan-Deng

  • 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
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  • ISBN 978-3-642-35242-3
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Hardcover $129.00
price for USA
  • ISBN 978-3-642-35241-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
price for USA
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: October 14, 2016
  • ISBN 978-3-662-51168-8
  • Free shipping for individuals worldwide
Rent the ebook  
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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.

Table of contents (5 chapters)

  • Basic Equations for the Gradually-Varied Flow

    Jan, Chyan-Deng

    Pages 1-20

  • Conventional Integral Solutions of the GVF Equation

    Jan, Chyan-Deng

    Pages 21-35

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

    Jan, Chyan-Deng

    Pages 37-83

  • Critical-Depth-Based Dimensionless GVF Solutions Using the GHF

    Jan, Chyan-Deng

    Pages 85-114

  • Analysis of the GHF-Based Solutions of $$h_c$$ -Based GVF Profiles

    Jan, Chyan-Deng

    Pages 115-146

Buy this book

eBook $99.00
price for USA (gross)
  • ISBN 978-3-642-35242-3
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA
  • ISBN 978-3-642-35241-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
price for USA
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: October 14, 2016
  • ISBN 978-3-662-51168-8
  • Free shipping for individuals worldwide
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Gradually-varied Flow Profiles in Open Channels
Book Subtitle
Analytical Solutions by Using Gaussian Hypergeometric Function
Authors
Series Title
Advances in Geophysical and Environmental Mechanics and Mathematics
Copyright
2014
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-35242-3
DOI
10.1007/978-3-642-35242-3
Hardcover ISBN
978-3-642-35241-6
Softcover ISBN
978-3-662-51168-8
Series ISSN
1866-8348
Edition Number
1
Number of Pages
XIV, 188
Number of Illustrations and Tables
27 b/w illustrations, 7 illustrations in colour
Topics