Length of Gradually Varied flow profile using Direct step method explained in detail

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The computation of gradually-varied flow profiles involves basically • the solution of dynamic equation of gradually varied flow. The main • objective of computation is to determine the shape of flow profile. • • Broadly classified, there are three methods of computation; • namely: • 1. The graphical-integration method, • 2. The direct-integration method, • 3. Step method. • The graphical-integration method is to integrate the dynamic equation of gradually varied flow by a graphical procedure. There are various graphical integration methods. The best one is the Ezra Method. • The direct-integration method: Thje differentia equation of GVF can not be expressed explicitly in terms of y for all types of flow cross section; hence a direct and exact integration of the equation is practically impossible. In this method, the channel length under consideration is divided into short reaches, and the integration is carried out by short range steps. The step method: In general, for step methods, the channel is divided into short reaches. The computation is carried step by step from one end of the reach to the other. • • There is a great variety of step methods. Some methods appear superior to others in certain respects, but no one method has been found to be the best in all application. The most commonly used step methods are: • 1. Direct-Step Method, • 2. Standard-step 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