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.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter15: Fluid Mechanics
Section: Chapter Questions
Problem 20P: A tank with a flat bottom of area A and vertical sides is filled to a depth h with water. The...
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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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