Mathematical Flow Determination in Open Channels

by James A. Liggett,

Serial Information: Journal of the Engineering Mechanics Division, 1968, Vol. 94, Issue 4, Pg. 947-964

Document Type: Journal Paper


The shallow water equations for flow in open channels are developed by the method of characteristics for numerical solution. Two methods are considered, both of which apply to channels of arbitrary cross section. One of the methods is also valid in the case of offstream or overbank storage. These methods are intended to be general enough for use with nonprismatic, irregular channels with arbitrary inflow and outflow. Also a method is presented whereby the equations can be used to determine the flow rate in a channel by three simultaneous stage measurements. This method is intended to be self-checking, and can be used where stage-discharge curves fail. Laboratory examples are presented.

Subject Headings: Mathematics | Open channels | Open channel flow | Numerical methods | Arbitration | Flow measurement | Shallow water | Water flow

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