Page 134 - ebook fluid mechanics_finalize

FLUID MECHANICS

The losses are :

4 fL v 2
1 v 2 Frictional loss in 6 m pipe = 1 1
Loss at entry = 1 d 1 2 g
2 2 g
6
6
= 4 ( 01.0 )( ) v 1 2 = 4 ( 01.0 )( ) v 1 2
1  9  2 v 2 . 0 15 2 g . 0 15 2 g
=   2
2  4  2 g
 9  2 v 2
= 6 . 1   2
v 2  4  2 g
2= . 53 2
2 g
v 2
= 1 . 8 2
2 g

(v − v ) 2 4 fL v 2
Shock loss at enl arg ement = 1 2 Frictional loss in 15 m pipe = 2 2
2 g d 2 2 g

4 ( 01.0 )( ) v 2
15
2
v 2  9  2 = 2
=  − 1 . 0 225 2 g
g
2  4 
v 2 2
v 2 2= . 67
1= . 56 2 2 g
2 g

v 2
Shock loss at exit = 2
2 g

v 2
1= . 00 2
2 g

v 2 v 2 v 2 v 2 v 2
Total loss of head = 53.2 2 + 1 . 8 2 + . 1 56 2 + . 2 67 2 + . 1 00 2
2 g 2 g 2 g 2 g 2 g

v 2
15= . 86 2
2 g

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