Repeat Prob. 13-60 for a weedy excavated earth channel with n = 0.030.
The depth.
Answer to Problem 61P
The depth is
Explanation of Solution
Given information:
The channel is made of unfinished concrete, the bottom angle of trapezoidal channel is
Below figure represent the cross- section of the trapezoidal channel.
Figure-1
Write the expression of height of water in the channel as shown in Figure-1.
Here, the parallel distance of water from below corner is
Substitute
Write the expression of surface width of the channel as shown in Figure-1.
Here, the parallel distance of water from below corner is
Substitute
Write the expression of bottom slop.
Here, the slop angle or bottom angle is
Substitute
Write the expression of area of cross -section of flow.
Here, the width is
Substitute
Write the expression of wetted perimeter of the channel.
Here, the height of the channel is
Substitute
Write the expression of hydraulic radius of the channel.
Here, the cross-sectional area of flow is
Substitute
Write the expression of flow rate.
Here, the constant is
Substitute
Apply hit and trial method in Equation (VIII).
Substitute
Hence
Substitute
Hence
Conclusion:
The depth is
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Chapter 13 Solutions
Fluid Mechanics: Fundamentals and Applications
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