Advances in Geophysical and Environmental Mechanics and Mathematics: Analytical Solutions by Using Gaussian Hypergeometric Function

Jan, Chyan-Deng

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.

Details

Published by: Springer

Publication Date: 2014-02-07

Format: Hardcover

ISBN-13: 9783642352416

DOI: 10.1007/978-3-642-35242-3

Dimensions: 235cm x155cm

Pages: 188