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(a)
If the flow of the unfinished concrete duct is critical.
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Answer to Problem 10.51P
The flow is super critical.
Explanation of Solution
The concrete duct which is unfinished has a diameter of
Froude number is given as:
Velocity of the flow
Calculation:
From equation (2)
Area of the flow is given as:
Substituting the values:
Hydraulic depth is given as:
Substituting all equations (1):
The flow is determined to be super critical as the Froude’s number is more than 1.
Conclusion:
Thus, the flow of the unfinished concrete duct is determined.
(b)
The critical flow rates.
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Answer to Problem 10.51P
Critical flow rate is
Explanation of Solution
Given Information:
The concrete duct which is unfinished has a diameter of
Concept Used:
Calculation:
Substituting we have,
From equation (1) we have,
Conclusion:
Thus, the critical flow rate is
(c)
The critical slope.
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Answer to Problem 10.51P
Critical slope is
Explanation of Solution
Given Information:
The concrete duct which is unfinished has a diameter of
Concept Used:
Calculation:
Substituting we have:
Conclusion:
Thus, the critical slope is determined.
(d)
The Froude’s number.
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Answer to Problem 10.51P
Froude’s number is
Explanation of Solution
Given Information:
The concrete duct which is unfinished has a diameter of
Concept Used:
Froude number is given as:
Velocity of the flow
Calculation:
Substituting all equation (1)
The flow is determined to be critical.
Conclusion:
Thus, the Froude number is determined.
(e)
The slope of the duct when the flow is uniform.
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Answer to Problem 10.51P
Explanation of Solution
Given Information:
The concrete duct which is unfinished has a diameter of
Concept Used:
Calculation:
The slope is equal in the duct with the uniform flow. So the duct slope with the critical flow is given as:
Conclusion:
Thus, the slope of the duct when the flow is uniform is determined.
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Chapter 10 Solutions
Fluid Mechanics
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