THE PRESSURE OF LIQUID FLOW IN PIPE IS GIVEN BY
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The loss of pressure when a fluid flows through a pipe is given by P=kρalVbdcμ where d and l are diameter ρ and μ length of the pipe respectively, and are the mass density and coefficient of viscosity of the fluid, V is the mean velocity of flow through the pipe and k is a numerical constant.
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Explanation:
P=kρ
a
lV
b
d
c
μ
dimensionofP=M
1
L
−1
T
−2
ρ=ML
−3
l=L
1
V=LT
−1
d=L
μ=ML
1
T
−1
ML
1
T
−2
=M
a+1
L
−3a+1+c+b
T
−b−1
Comparing both side
a+1=1,a=0
b+1=2,b=1
b+c+1−3×0=−1
b+c+1=−1
c+2=−1
c=−3.
∴a=0,b=1,c=−3
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