8 m above the normal depth which would occur without

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Unformatted text preview: s to the Mach number in compressible duct flow (Chap. 9). Flow at constant slope and depth is called uniform flow and satisfies the classical Chézy equation (10.19). Straight prismatic channels can be optimized to find the cross section which gives maximum flow rate with minimum friction losses. As the slope and flow velocity increase, the channel reaches a critical condition of Froude number unity, where velocity equals the speed of a small-amplitude surface wave in the channel. Every channel has a critical slope which varies with the flow rate and roughness. If the flow becomes supercritical (Fr 1), it may undergo a hydraulic jump to a greater depth and lower (subcritical) velocity, analogous to a normal-shock wave. The analysis of gradually varied flow leads to a differential equation (10.51) which can be solved by numerical methods. The chapter ends with a discussion of the flow over a dam or weir, where the total flow rate can be correlated with upstream water depth. Problems | v v Most of the problems herein are fairly straightforward. More difficult or open-ended a...
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This note was uploaded on 10/27/2009 for the course MAE 101a taught by Professor Sakar during the Spring '08 term at UCSD.

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