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Flow velocity through a horizontal pipe connected to a tank (reservoir)

ÀÛ¼ºÀÚ Uploader : pleiades ÀÛ¼ºÀÏ Upload Date: 2018-09-03º¯°æÀÏ Update Date: 2018-09-04Á¶È¸¼ö View : 1383

As shown in figure, there is a circular pipe having its diameter D (m), length L (m) and friction coefficient f, connected to a tank of which water depth is H (m). 
The flow velocity V in this pipe is calculated as below. 

Assuming that the atmospheric pressures at water surface in tank and at 
the pipe outlet, 

H = V^2/(2g) + hf 

Since hf = (fe + fo + f*L/D)*V^2/(2g), 

H = V^2/(2g)*(1 + fe + fo + f*L/D) 

V = (2*g*H / (1 + fe + fo + f*L/D))^(1/2) 

where, 
g : gravity acceleration 
fe : entrance loss coefficient of pipe 
fo : exit loss coefficient of pipe 
f : friction loss coefficient of pipe 
¡Ø If the pipe is sufficiently long, fe and fo may be neglected.  (i.e. fe=fo=0) 

*** Âü°í¹®Çå[References] ***

V = (2*g*H / (1 + fe + fo + f*L/D))^(1/2)
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