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A channel of width 450 mm branches into two sub-channels having width 300 mm and 200 mm as shown in figure. If the volumetric flow rate (taking unit depth) of an in compressible flow through the main channel is 0.9 m3/s and the velocity in the sub-channel of width 200 mm is 3 m/s, the velocity in the sub-channel of width 300 mm is ________m/s.
Assume both inlet and outlet to be at the same elevation.
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Correct Option: A
Given data:
b1 = 450 mm = 0.45 m
b2 = 0.3 m
b3 = 0.2 m
Depth: h = 1m
Q1 = 0.9 m3 /s
V3 = 3m/s
V2 =?
Q1 = Q2 + Q3
Q1 = A2 V2 + A3 V3
Q1 = b2 hV2 + b3 hV3
0.9 = 0.3 × 1 × V2 + 0.2 × 1 × 3 0.9 = 0.3 V2 + 0.6
V2 = 1 m/s
