The flow rate per unit width.
The Froude number of downstream gate.
Answer to Problem 106EP
The flow rate per unit width is
The Froude number of downstream gate is
Explanation of Solution
Given Information:
The flow depth of upstream weir is
Write the expression for the depth ratio.
Here, the flow depth of upstream weir is
Write the expression for the volume flow rate.
Here, the breath of the channel is
Write the expression for the upstream specific energy.
Write the expression for the downstream specific energy.
Write the expression for the downstream velocity.
Write the expression for the Froude number of downstream.
Calculation:
Substitute
Refer to Figure 13.44 "Discharge coefficient for the drowned and free discharge from underflow gates" to obtain the coefficient of the discharge as
Substitute
Substitute
Since, the specific energy of the fluid remains constant hence
Substitute
Substitute
Substitute
Conclusion:
The flow rate per unit width is
The Froude number of downstream gate is
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Chapter 13 Solutions
FLUID MECHANICS LL W/ACCESS
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