Abstract
To simulate slow transients in wide rectangular open channels of finite length, the St. Venant equations are approximated by a single Burgers' equation for flow depth. Flow velocity is expressed as a function of flow depth and its gradient to satisfy the continuity of flow. The Burgers' equation model has three constants uniquely determined with the Froude number of initial uniform flow to satisfy approximately the conservation of momentum for small perturbations of flow depth about an initial constant. For a given set of fixed boundary depths, depth profile and channel storage of final steady nonuniform flow are readily obtained in analytical form. This is a useful feature of the Burgers' equation model. Comparison of the Burgers' equation model with the St. Venant equations is made based on numerical results.
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