Derive the deptha Veraged kinematic wave equation. Employ the Manning’s roughness friction equation for the veIocty.

engineering

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Ql. Derive the deptha Veraged kinematic wave equation. Employ the Manning’s roughness friction

equation for the veIocty.

Q2. In the following river system; each reach has rectangular cross Cti0fl having channel width of 22

m. The channel bouom slope is the same tr each reach with 0.00035. The Che roughness is

constant for the system as being 55 in °/s. The base flow is 80 m3/s at the upstream branches. Assume

that the channel is wide and R = h. If 12h of flood storm with Q 180 m3/s at 6Ih hour passeS

through the system:

i. Estimate the timing of the lust sign of the flood wave at the downstream station.

ii. Estimate the timing of the first sign of the peak flood wave at the downstream station.

¡ii. Estimate the timing of the peak rate passing through the downstream station.

iv. Check the flow regime in each branch during the base flow and during the peak flow.

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