TAINAN, Taiwan--(BUSINESS WIRE)--Dr. Chyan-Deng Jan, the Director of the Department of Hydraulic and Ocean Engineering at National Cheng Kung University (NCKU), has finished his new book, Gradually-varied Flow Profiles in Open Channels: Analytical Solutions by Using Gaussian Hypergeometric Function, which will be released by Springer, a Berlin-based global publisher, the university revealed recently.
This 300-page book proposes a novel approach to analytically solve the Gradually-varied flow (GVF) profiles by using the direct integration and Gaussian hypergeometric function.
Both normal-depth- and critical-depth-based dimensionless GVF profiles are presented in the book.
Dr. Jan’s book was released on January 31 by Springer, a global publishing company that covers books, e-books and peer-reviewed journals in science, technical and medical publishing.
According to Dr. Jan, GVF is a steady non-uniform flow in an open channel with gradual changes in its water surface elevation.
He also pointed out that the evaluation of GVF profiles under a specific flow discharge is very important in hydraulic engineering.
Many hydraulic engineering works involve the computation of surface profiles of GVF and the most widely used methods for computing GVF profiles could be classified into the step methods and the direct integration methods.
In his new book, 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 play the role of the varied-flow-function (VFF) table in the interpolation of the VFF-values used in the conventional method.
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.
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