Question

 The channel transports water at 6 m³/s. The depth of flow is y = 1.5 m. Suppose that d = 3.5 m. (Figure 1)

 Water flows in a rectangular channel with a velocity of 4 m/s and depth of 2.9 m.

 Part A

 What other possible speed of flow provides the same specific energy for the same volumetric flow?

 Part C

 Determine the specific energy of the flow.

 Part D

 Determine the minimum specific energy of the flow.

Answer 1

Solution 1)

Given Q = 6 m³/sec , y = 1.5 m , d = 3.5 m

Specific Energy of the flow (E) = 1.56657 m

Part D)

Emin = 1.004 m

Solution 2)

Given v = 4 m/sec and depth (y) = 2.9 m

By solving above eqn , we get

y = 2.9 , 1.9987 , -1.18322

Flow is already occuring at depth = 2.9 m

So for the same discharge ( q = same ) ,we have

v2 = 5.8038 m/sec

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