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Flow discharge 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 : 314

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)

By Q=AV, the discharge Q (m^3/s) is :

Q = (2*g*H / (1 + fe + fo + f*L/D))^(1/2) * (¥ðD^2)/4

*** Âü°í¹®Çå[References] ***

Q = (2*g*H / (1 + fe + fo + f*L/D))^(1/2) * (¥ð*D^2)/4
º¯¼ö¸í Variable º¯¼ö°ª Value º¯ ¼ö ¼³ ¸í Description of the variable


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