Burgers' Equation Model for Unsteady Flow in Open Channels
Publication: Journal of Hydraulic Engineering
Volume 124, Issue 5
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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Published In
Journal of Hydraulic Engineering
Volume 124 • Issue 5 • May 1998
Pages: 509 - 512
Copyright
Copyright © 1998 American Society of Civil Engineers.
History
Published online: May 1, 1998
Published in print: May 1998
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