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(a)
To compute:
The flow rate follows from the sluice gate correlation Q.
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Answer to Problem 10.6CP
The flow rate follows from the sluice gate correlation
Explanation of Solution
Figure:
Given:
Concept Used:
Annuity problem requires the use of the formula as follows:
Here,
Acceleration gravity
Calculation:
As per the given problem:
Annuity problem requires the use of this formula:
Substitute these values in the formula
Annuity problem requires the use of this formula:
Substitute these values in the formula:
Conclusion:
The flow rate follows from the sluice gate correlation
(b)
To compute:
The normal depth.
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Answer to Problem 10.6CP
It has no normal depth.
Explanation of Solution
Given Information:
This channel is horizontal.
If you know the flow rate, you can find the normal depth, but this channel is horizontal, It has no normal depth.
Conclusion:
It has no normal depth.
(c)
To compute:
Given:
Concept Used:
Annuity problem requires the use of the formula as follows:
Annuity problem requires the use of the formula as follows:
Here,
Velocity
Annuity problem requires the use of the formula as follows
Calculation:
As per the given problem:
Annuity problem requires the use of this formula:
Substitute these values in the formula:
Annuity problem requires the use of this formula:
Substitute these values in the formula:
According to Bernoulli equation:
Annuity problem requires the use of this formula:
Substitute these values in the formula:
Annuity problem requires the use of this formula:
Substitute these values in the formula:
Conclusion:
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Answer to Problem 10.6CP
Explanation of Solution
Given:
Concept Used:
Annuity problem requires the use of the formula as follows:
Annuity problem requires the use of the formula as follows:
Here,
Velocity
Annuity problem requires the use of the formula as follows
Calculation:
As per the given problem:
Annuity problem requires the use of this formula:
Substitute these values in the formula:
Annuity problem requires the use of this formula:
Substitute these values in the formula:
According to Bernoulli equation:
Annuity problem requires the use of this formula:
Substitute these values in the formula:
Annuity problem requires the use of this formula:
Substitute these values in the formula:
Conclusion:
(d)
To compute:
Given:
Calculation:
Annuity problem requires the use of this formula:
Substitute these values in the formula:
Annuity problem requires the use of this formula:
Substitute these values in the formula:
The flow in section 2 is highly supercritical, Now use hydraulic jump theory
Annuity problem requires the use hydraulic jump theory as follow:
Substitute these values in the formula:
Conclusion:
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Answer to Problem 10.6CP
Explanation of Solution
Given:
Calculation:
Annuity problem requires the use of this formula:
Substitute these values in the formula:
Annuity problem requires the use of this formula:
Substitute these values in the formula:
The flow in section 2 is highly supercritical, Now use hydraulic jump theory
Annuity problem requires the use hydraulic jump theory as follow:
Substitute these values in the formula:
Conclusion:
(e)
To compute:
Given:
Calculation:
Substitute these values in the formula:
Annuity problem requires the use of this formula:
Substitute these values in the formula:
Annuity problem requires the use of this formula:
Substitute these values in the formula
Annuity problem requires the use of this formula
Substitute these values in the formula:
Conclusion:
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Answer to Problem 10.6CP
Explanation of Solution
Given:
Calculation:
Substitute these values in the formula:
Annuity problem requires the use of this formula:
Substitute these values in the formula:
Annuity problem requires the use of this formula:
Substitute these values in the formula
Annuity problem requires the use of this formula
Substitute these values in the formula:
Conclusion:
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Chapter 10 Solutions
Fluid Mechanics
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