The flow through a rectangular channel (width in x and height in z) is nonuniform with a velocity profile of V(z) = mz+b. The velocity at the floor of the channel is V(z=0) and the velocity at the top of the channel is V(z=Z). a) Develop an expression for flow rate and average velocity using the given constants. If the channel is 5m wide in x and 3m tall in z and V(z=0) = 0 m/s and V(z=3m) = 6 m/s: b) Determine the value of the constants m and b in the velocity profile c) Determine the value of the flowrate and average velocity of water in the channel.
The flow through a rectangular channel (width in x and height in z) is nonuniform with a velocity profile of V(z) = mz+b. The velocity at the floor of the channel is V(z=0) and the velocity at the top of the channel is V(z=Z). a) Develop an expression for flow rate and average velocity using the given constants. If the channel is 5m wide in x and 3m tall in z and V(z=0) = 0 m/s and V(z=3m) = 6 m/s: b) Determine the value of the constants m and b in the velocity profile c) Determine the value of the flowrate and average velocity of water in the channel.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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The flow through a rectangular channel (width in x and height in z) is nonuniform with a velocity
profile of V(z) = mz+b. The velocity at the floor of the channel is V(z=0) and the velocity at the
top of the channel is V(z=Z).
a) Develop an expression for flow rate and average velocity using the given constants.
If the channel is 5m wide in x and 3m tall in z and V(z=0) = 0 m/s and V(z=3m) = 6 m/s:
b) Determine the value of the constants m and b in the velocity profile
c) Determine the value of the flowrate and average velocity of water in the channel.
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