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authorized. C2017] A: Basic Channel Parameters and Stream Discharge Stream disch

ID: 116594 • Letter: A

Question

authorized. C2017] A: Basic Channel Parameters and Stream Discharge Stream discharge (Q) is simply the volume of water that passes a particular point along a stream in a given amount of time. Discharge is equal to the product of cross-sectional channel area and water velocity (assuming water velocity is uniform across the stream and with depth, an assumption that can be a good first-order approximation but is never strictly valid). That is, Q=A * v where Q = discharge (m3/s); A cross-sectional channel area (m); v = velocity (m/s). For a simple channel with a rectangular cross-section, the cross-sectional area is simply equal to the product of channel width and channel depth. That is, where A cross-sectional channel area (m2); w channel width (m); h channel depth 10 m Figure 1 Cross-sectional area of a simple channel. The area of the channel in·a" is 30 m2, whereas the area of the channel in "b" is 90 m' (W.H. Freeman and Company).

Explanation / Answer

1) a) Q = A * V

V = 3 m/s

A = w * h = 22 * 5 = 110 m2

Q = 3* 1125 = 330 m3/s

b)

Q = A * V

V = 3 m/s

A = w * h = 66 * 5 = 330 m2

Q = 3* 1125 = 990 m3/s

c) Depth = 5 m

Mean velocity depth = 0.6 * 5 = 3 m

The corresponding depth for mean velocity will be 3 meters.

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