Problem 4: Approximating Discharge from Velocity Consider steady flow in a stream d= 0.50 m deep and w = 3.0 m wide ("into the page"): Part A X Part B The velocity distribution is u= umax(1-h²/d2), where Umax = 0.20 m/s. A few sample values are shown in the following table: 0.25 h[m] 0 u [m/s] 0.20 0.15 Part A On the figure, sketch the velocity profile using the equation. No need to calculate points. Part B On the figure, sketch an approximate velocity profile, with an upper area and a lower area. Plot the average velocity for the upper area and the lower area (hint, recall the wedding cake). Part C Using your approximation, calculate the discharge Q [m³/s]. Part D Using your approximation, calculate the average velocity V[m³/s].
Problem 4: Approximating Discharge from Velocity Consider steady flow in a stream d= 0.50 m deep and w = 3.0 m wide ("into the page"): Part A X Part B The velocity distribution is u= umax(1-h²/d2), where Umax = 0.20 m/s. A few sample values are shown in the following table: 0.25 h[m] 0 u [m/s] 0.20 0.15 Part A On the figure, sketch the velocity profile using the equation. No need to calculate points. Part B On the figure, sketch an approximate velocity profile, with an upper area and a lower area. Plot the average velocity for the upper area and the lower area (hint, recall the wedding cake). Part C Using your approximation, calculate the discharge Q [m³/s]. Part D Using your approximation, calculate the average velocity V[m³/s].
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![Problem 4: Approximating Discharge from Velocity
Consider steady flow in a stream d = 0.50 m deep and w = 3.0 m wide ("into the page"):
Part A
Part B
h
X
X
The velocity distribution is u = Umax(1- h²/d²), where Umax = 0.20 m/s. A few sample values are
shown in the following table:
0.25
h[m] 0
u [m/s] 0.20 0.15
▼
Part A
On the figure, sketch the velocity profile using the equation. No need to calculate points.
Part B
On the figure, sketch an approximate velocity profile, with an upper area and a lower area. Plot
the average velocity for the upper area and the lower area (hint, recall the wedding cake).
Part C
Using your approximation, calculate the discharge Q [m³/s].
Part D
Using your approximation, calculate the average velocity V[m³/s].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc837c159-281c-429a-9ec5-8a70fc5b4137%2Ff6435da4-6327-4c71-961f-2ccae27cc9be%2F4xb2czs_processed.png&w=3840&q=75)
Transcribed Image Text:Problem 4: Approximating Discharge from Velocity
Consider steady flow in a stream d = 0.50 m deep and w = 3.0 m wide ("into the page"):
Part A
Part B
h
X
X
The velocity distribution is u = Umax(1- h²/d²), where Umax = 0.20 m/s. A few sample values are
shown in the following table:
0.25
h[m] 0
u [m/s] 0.20 0.15
▼
Part A
On the figure, sketch the velocity profile using the equation. No need to calculate points.
Part B
On the figure, sketch an approximate velocity profile, with an upper area and a lower area. Plot
the average velocity for the upper area and the lower area (hint, recall the wedding cake).
Part C
Using your approximation, calculate the discharge Q [m³/s].
Part D
Using your approximation, calculate the average velocity V[m³/s].
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