Question
Download Solution PDFFind the head loss due to friction in a pipe of diameter 0.4 m and length 100 m, through which water is flowing at a velocity of 2 m/s using Chezy’s formula, for which C = 60.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
The darcy-Weisbach formula for head loss due to friction is,
hf = \(\frac{flV^2}{2gd}\)
Where,
f = friction factor
l = Length of the pipe
V = Velocity of the fluid in the pipe
d = diameter of the pipe
The Chezy equation can be used to calculate the mean flow velocity in an open channel.
Chezy's constant is given by:
C = \(\sqrt \frac{8g}{f}\)
f = friction factor
Calculation:
Given that,
d = 0.4 m = 400 mm
l = 100 m
V = 2 m/s
C = 60
Chezy's constant is given by:
C = \(\sqrt \frac{8g}{f}\)
60 = \(\sqrt \frac{8\times9.81}{f}\)
f = 0.0218
The darcy-Weisbach formula for head loss due to friction is,
hf = \(\frac{flV^2}{2gd}\)
hf = \(\frac{0.0218 \times 100 \times 2^2}{2 \times 9.81 \times 0.4}\)
hf = 1.11 m
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