Simplified Equations of the Unsteady Flow in Open Channel

The system of Saint Venant equations derived in Chapter 1 in the form of Eqs. (1.77) and (1.78) or Eqs. (1.79) and (1.80) is called the dynamic wave model or the complete dynamic model. This model of unsteady open channel flow gives reliable results if the underlying assumptions are satisfied. On the other hand, the Saint Venant model requires rather complex methods of solution and relatively large number of data characterizing both the channel and the flow conditions. For this reasons hydrologists tried to simplify the system of Saint Venant equations to obtain models, which require less input information.

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