210 EXAMPLE. 



where the values of j and 8 are given in Art. 105, j9j in 

 Art. 109, j3 2 in Art. 110, and = .505 to .08. 



Neglecting 15 since it is very small compared with 2 

 (Art. 105), and putting / = 2ga z = .03, from (1) of Art. 

 105, we have, from (1), 



Sen. An enlargement should be made in the pipe at any 

 considerable bendings ; and when any change takes place in 

 the diameter of the pipe, the parts at the junction should 

 be rounded off. At all considerable bends, where the pipe 

 changes from ascending to descending, a provision should 

 be made for clearing the pipe of the air which is disengaged 

 from the water. Unless some provision is made for the 

 escape of this air, it will accumulate in the highest bends 

 and obstruct the flow of the current. 



EXAMPLE. 



In the example of Art. 105 there are 40 bends in the 

 pipe, each having the radius of curvature exceeding ten 

 times the radius of the pipe. Find the velocity of efflux. 



Here / = .03, ft = .505, 0, = 0, 



2 = .131 + 1.847 to)* = .1312; 

 .-. 4002 = 5.248, I 5780, d = .5, h = 170. 

 Hence, from (2), we have 



170 = (.03 x^ + 1.505 + 5.248) ~ 

 \ .5 /64 



= 353. 553 ~; 

 .% v = 5.562 feet per second. 



