Water flows in a rectangular flume 15 ft wide made of brick with cement mortar (n = 0.015). Find the depth of the water under uniform flow at 18 fps with a slope of 0.02. What would be the resulting error in the estimated depth if the “wide-and-shallow” flow assumption were used?

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Asked Nov 2, 2019
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Water flows in a rectangular flume 15 ft wide made of brick with cement mortar (n = 0.015). Find the depth of the water under uniform flow at 18 fps with a slope of 0.02. What would be the resulting error in the estimated depth if the “wide-and-shallow” flow assumption were used?

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Expert Answer

Step 1

Given information:

For the rectangular section b=15ft

Manning’s coefficient n= 0.015

Volume V = 18fps.

Slope S= 0.02

Step 2

Calculation:

We have the manning’s formula

1.486
AR
And, we have the relation between the discharge, area and volume as
Q AV
V=Q
A
Write the Q value in the above equation then we get that
1.486
- AR S
V =
A
1.486 p%
V =
RH
help_outline

Image Transcriptionclose

1.486 AR And, we have the relation between the discharge, area and volume as Q AV V=Q A Write the Q value in the above equation then we get that 1.486 - AR S V = A 1.486 p% V = RH

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Step 3

Substitute the all values in the abo...

1.486
18
0.015 b+2y
by
So
1.486
18
0.015 15+2y
15y
(0.02) ...
help_outline

Image Transcriptionclose

1.486 18 0.015 b+2y by So 1.486 18 0.015 15+2y 15y (0.02) ...

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