## Related questions with answers

A rectangular channel that is 10 ft wide is very smooth except for a small reach that is roughened with angle irons attached to the bottom. Water flows in the channel at a rate of 200 cfs and at a depth of 1.0 ft upstream of the rough section. Assume frictionless flow except over the roughened part, where the total drag of all roughness (all of the angle irons) is assumed to be 2000 lbf. Determine the depth downstream of the roughness for the assumed conditions.

Solution

Verified$\textbf{Given data.}$

$\text{Rectangular channel with following dimensions.}$

$w = 10 \text{ ft}$

$y_{1} = 1.0 \text{ ft}$

$Q = 200 \text { cfs}$

$F_{D} = 2000 \text{ lbf}$

$\text{Goal is to determine depth downstream of the roughness.}$

$\text{Given assumptions.}$

Friction less flow except over the roughened part.

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