
The feasibility of installing such a weir which will be accurate and yet not cause the water to overflow to the side of the channel.

Answer to Problem 10.4CP
The first two of these are plausible although H/Y is large than 2 . The third result is not recommended because Y is too far below 9 cm. We can say that reasonable designs are possible.
Explanation of Solution
Figure:
Given:
For asphalt take
Concept Used:
Annuity problem requires the use of the formula as follows:
Here
Area =
Annuity problem requires the use of the formula as follows:
Here,
Hydraulic radius
Annuity problem requires the use of the formula as follows:
Here,
Area=
Annuity problem requires the use of the Weir formula as follows:
Here, width
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:
Annuity problem requires the use of this formula
Substitute these values in the formula
The weir discharge must equal this flow rate. Let us being by making b equal to the full available width of 1.5 m and holding Y to the minimum height of 9 cm.
Annuity problem requires the use of the Weir formula as follows
Substitute these values in the formula
To find out the ratio H/Y
The total upstream water depth
If we back down to
The upstream depth
So, a wide weir design is possible with
Similarly,
To let shorter values of b
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:
Annuity problem requires the use of the Weir formula as follows:
Substitute these values in the formula
To find out the ratio H/Y
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:
Annuity problem requires the use of the Weir formula as follows:
Substitute these values in the formula
To find out the ratio H/Y:
Conclusion:
The first two of these are plausible although H/Y is large than 2.0.The third result is not recommended because Y is too far below 9 cm .We conclude that reasonable designs are possible.
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Chapter 10 Solutions
Fluid Mechanics
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