Calculation of Head Losses and Flow Rate in Pipes

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Table of Contents
Summary Table............................................................................................................................................2
Solution-:.....................................................................................................................................................3
Given-:.....................................................................................................................................................3
Solutions..................................................................................................................................................3
Final results.............................................................................................................................................7
Summary Table

Solution-:
Given-:
 Available head = 5m
 Horizontal length of d1 diameter pipe, L = 90m
 Horizontal length of d2 diameter pipe, L = 25m
 Diameter of small pipe, d1 = 0.08m
 Diameter of big pipe, d2 = 0.24m
 Friction factor of d1 diameter pipe, f =0.008
 Friction factor of d2 diameter pipe, f =0.03
 Coefficient of loss due to sudden contraction, k = 0.5
 Coefficient of loss due to sudden enlargement open to tank 2, k =1
 Inclination of d1 diameter pipe, = 50
 Centerline radius of bend = 300mm =0.3m
Solutions
Coefficient of bend
Ratio = centerline radius of bend
internal diameter of pipe ¿ 0.3
0.08 = 3.75
Form given graph of coefficient of bend loss and ratio of centerline radius of bend and
internal diameter of pipe-
Coefficient of bend, kL2 = 0.112 (approx)
Coefficient of sudden enlargement from small to bigger diameter pipe
kL3 =
[1−( a1
a2 )2
]2
=
[1−( d 1
d 2 )2
]2
=
[1−( 0.08
0.24 )2
]2
kL3= 0.79
By continuity equation