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## Über dieses Buch

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.

## Inhaltsverzeichnis

### Chapter 1. Basic Equations for the Gradually-Varied Flow

Abstract
The one-dimensional gradually-varied flow (GVF) is a steady non-uniform flow in a prismatic channel with gradual changes in its water surface elevation.
Chyan-Deng Jan

### Chapter 2. Conventional Integral Solutions of the GVF Equation

Abstract
The gradually-varied flow (GVF) equation for flow in open channels is normalized using the normal depth, hn, before it can be analytically solved by the direct integration method.
Chyan-Deng Jan

### Chapter 3. Normal-Depth-Based Dimensionless GVF Solutions Using the Gaussian Hypergeometric Function

Abstract
The literature survey as shown in Chapter 2 recaps two general ways (i.e., VFF-based and ETF-based methods) to obtain the exact solutions of the GVF equation through the two integrals of a proper fraction.
Chyan-Deng Jan

### Chapter 4. Critical-Depth-Based Dimensionless GVF Solutions Using the GHF

Abstract
As mentioned in the previous chapters, many hydraulic engineering works involve the computation of surface profiles of gradually-varied flow (GVF) that is a steady non-uniform flow in an open channel with gradually changes in its water surface elevation.
Chyan-Deng Jan

### Chapter 5. Analysis of the GHF-Based Solutions of $$h_c$$ -Based GVF Profiles

Abstract
The equation of one-dimensional gradually-varied flow (GVF) in sustaining and non-sustaining open channels is normalized using the critical depth, $$h_c$$, and then solved by the direct integration method with the use of the Gaussian hypergeometric functions (GHF), as shown in Chap. 4.
Chyan-Deng Jan

### Backmatter

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