| Channel slope | 0.005 m/m |
| Bankfull channel depth | |
| Bankfull channel width | |
| Channel cross sectional area |
| Manning's n roughness for scenario 1 (smooth stormwater pipe) | 0.007 |
| Manning's n roughness for scenario 2 (moderate in-channel vegetation) | 0.07 |
| Manning's n roughness for scenario 3 (woody debris and dense in-channel vegetation) | 0.3 |
| Flow velocity for scenario 1 | |
| Flow velocity for scenario 2 | |
| Flow velocity for scenario 3 | |
| Discharge for scenario 1 | |
| Discharge for scenario 2 | |
| Discharge for scenario 3 |
Now ,
Flow velocity equation
We know that for flow velocity
V = [(D2/3) x (S1/2) / n], where
V = mean channel velocity (m/s)
D = flow depth (m)
S = water surface slope (m/m; often approximated by the slope of the bed)
n = Manning's roughness coefficient
Discharge equation
For the discharge
discharge = velocity x cross-sectional area
Q = V x A, where
Q = discharge (m3/s)
V = velocity (m/s)
A = cross-sectional area (m2)
These equations are used to flow velocity and discharge for different scenarios.
Results
From the cross sectional view of the figure, we get the bank full depth as well as width.
Now cross sectional area=depth*width
Table 1 Hydrology of an urban stream at Macquarie University
| Channel slope | 0.005 m/m |
| Bankfull channel depth | 20 m |
| Bankfull channel width | 10 m |
| Channel cross sectional area | 200 m2 |
| Manning's n roughness for scenario 1 (smooth stormwater pipe) | 0.007 |
| Manning's n roughness for scenario 2 (moderate in-channel vegetation) | 0.07 |
| Manning's n roughness for scenario 3 (woody debris and dense in-channel vegetation) | 0.3 |
| Flow velocity for scenario 1 | 74.429 m/s |
| Flow velocity for scenario 2 | 7.443 m/s |
| Flow velocity for scenario 3 | 1.737 m/s |
| Discharge for scenario 1 | 14885.8 m3/s |
| Discharge for scenario 2 | 1488.6 m3/s |
| Discharge for scenario 3 | 347.334 m3/s |
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