Hints: For 1a, use the full conservation of momentum expression derived in class, before we simplified using uniform flow. Remember that the friction slope, Sf = hL/L (head loss divided by the length). For 1b, use the expression you generated in 1a.
b) What is the percent difference between the actual friction slope and the water surface slope?
c) When would you expect the difference between Ssurface and Sf to be large?
To avoid erosion, the river bed is armored with large cobbles, increasing the bed resistance. In a 1km section of the river the depth decreases from 1.9 m to 1.5 m. For this calculation you are told that the discharge is 44 m3/s. The channel bed slope and width can be considered to be the same as in the prior problem. Determine: