question archive Water flow at 4 m/s in a flume (the flow is supercritical which means the flow rate exceeds the wave speed in the water)
Water flow at 4 m/s in a flume (the flow is supercritical which means the flow rate exceeds the wave speed in the water)
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Water flow at 4 m/s in a flume (the flow is supercritical which means the flow rate exceeds the wave speed in the water). The height of the square cross section is 0.1 m and the width is 0.3 m. A hydraulic jump brings the flow to subcritical with a 10 per cent energy loss across the jump. The height of the flow rises to 0.3 m and the width does not change. Use the continuity eq. and Bernoulli's eq., with friction, to determine the final velocity of the flow.
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Answer:
Given initial velocity v1=4m/s
cross sectional area A1=0.1x0.3=0.03m2
final velocity v2=?
cross sectinal area in the final point A2=0.3x0.3=0.09m2
from the equation of continuity A1xv1=A2xv2
v2= A1xv1/A2=(0.03x4)/0.09=1.333m/s
this is the final velocity of the flow
