Concept explainers
The diameter of the third channel.
Answer to Problem 53P
The diameter of the channel 3 is
Explanation of Solution
Given Information:
The figure below represents the cross -section of three channels.
Figure-(1)
The diameter of channel 1 is
Write the expression for flow rate from channel 1 and channel 2.
Here, the manning's coefficient for channel 1 is
Write the expression for flow rate through the channel 3.
Here, the manning's coefficient for channel 3 is
Write the expression for the cross sectional flow area of channel1.
Here, the radius of the channel 1 is
Write the expression for the cross sectional flow area of channel 2.
Here, the radius of the channel 2 is
Write the expression for the cross sectional flow area of channel 3.
Here, the radius of the channel 3 is
Write the expression to calculate the wetted perimeter of the channel 1.
Write the expression to calculate the wetted perimeter of the channel 2.
Write the expression to calculate the wetted perimeter of the channel 3.
Write the expression to calculate the hydraulic radius of channel 1.
Write the expression to calculate the hydraulic radius of channel 2.
Write the expression to calculate the hydraulic radius of channel 3.
Write the expression to calculate the diameter of the channel 3.
Calculation:
Substitute
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Substitute
Substitute
Refer to Table (13.1), "Mean values of the Manning Coefficient for water flow in open channels" to obtain the value of
Substitute
Substitute
Substitute
Conclusion:
The diameter of the channel 3 is
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Chapter 13 Solutions
Fluid Mechanics: Fundamentals and Applications
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