Canal effect. The figure shows an anchored barge that extends across a canal by distance d = 25 m and into the water by distance b = 15 m. The canal has a width D = 56 m, a water depth H = 17 m, and a uniform water-flow speed v₁ = 1.6 m/s. Assume that the flow around the barge is uniform. As the water passes the bow, the water level undergoes a dramatic dip known as the canal effect. If the dip has depth h = 0.65 m, what is the water speed alongside the boat through the vertical cross sections at (a) point a and (b) point b? The erosion due to the speed increase is a common concern to hydraulic engineers.

University Physics Volume 1
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Chapter14: Fluid Mechanics
Section: Chapter Questions
Problem 82P: Water emerges straight down from a faucet with a 1.80-cm diameter at a speed of 0.500 m/s. (Because...
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Canal effect. The figure shows an anchored barge that extends across a canal by distance
d = 25 m and into the water by distance b = 15 m. The canal has a width D = 56 m, a water
depth H = 17 m, and a uniform water-flow speed v¡ = 1.6 m/s. Assume that the flow around
the barge is uniform. As the water passes the bow, the water level undergoes a dramatic dip
known as the canal effect. If the dip has depth h = 0.65 m, what is the water speed alongside
the boat through the vertical cross sections at (a) point a and (b) point b? The erosion due to
the speed increase is a common concern to hydraulic engineers.
(a) Number
(b) Number
b
I
I
hi¦
Units
Units
'Vi
Transcribed Image Text:Canal effect. The figure shows an anchored barge that extends across a canal by distance d = 25 m and into the water by distance b = 15 m. The canal has a width D = 56 m, a water depth H = 17 m, and a uniform water-flow speed v¡ = 1.6 m/s. Assume that the flow around the barge is uniform. As the water passes the bow, the water level undergoes a dramatic dip known as the canal effect. If the dip has depth h = 0.65 m, what is the water speed alongside the boat through the vertical cross sections at (a) point a and (b) point b? The erosion due to the speed increase is a common concern to hydraulic engineers. (a) Number (b) Number b I I hi¦ Units Units 'Vi
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