question archive A long channel of rectangular cross-section with width 3

A long channel of rectangular cross-section with width 3

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A long channel of rectangular cross-section with width 3.5 m and streamwise slope 1 in 800 carries a discharge of 15 m3 s-1. Manning's n may be taken as 0.016 m-1/3 s. A broad-crested weir of height 0.7 m is constructed at the centre of the channel. Determine:

(a) the depth far upstream of the weir;

(c) whether or not a region of supercritical gradually-varied flow exists downstream of the weir.

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