Question

A pipeline transfers water from Reservoir A to Reservoir B.

The difference in water-surface elevations between the two reservoirs is 20 m.

The lengths of pipes 1, 2 and 3 are 1500 m, 2000 m, and 2800 m, respectively.

The diameter of pipe 1 is 200 mm,

The diameter of pipe 2 is 500 mm, and The diameter of pipe pipe 3 is 250 mm.

The Darcy Weisbach friction coefficient of these pipes is 0.0045.

Minor loss coefficients for pipe entry and exit are 0.5 and 1.0, respectively.

Expansion joint is used to connect the pipes at the junction between pipe 1 and pipe 2.

suis of pipes 1.2 and 3 are 1500 m, 2000 m and 2800 m, respectively. The diameters vations between the two reservoirs is 0 mm. pipe 2 is 500 mm, and pipe 3 1 250 mm. The Darcy Wensbach Incon ent of these pipes is 0.0045. Minor less coefficients for pipe entry and exitare . and 1 pansion joint is used to connect the pipes at the junction between pipe and pipe The minor loss for expansion joint can be expressed by d by i-D where D, and D, are diameters and pipe 2, respectively. The minor loss coefficient (K) for the contraction point between pipe is 0.0. At the junction between pipe 2 and pipe 3, a low rate (), which is equal the flow rate in pipe 2. is extracted for water supply. Determine the low rates m pipes 2 and 3. (15 marks) Q1=22 Q3 iR hQs Reservoir A Pipe Pipe 2 Pipe 3 Reservoir B

Answer 1

20 =(102. 15 +2.46) = 0-1911 ve = 3.75 v=1.936 m 15 This is average velouty. org from the mass conservation. AW, = A2 V2 8 = AV = I ² Varg 8, = 0.0608 ms 82=91 = 0-0608 mai 83= 0.992 = 0.0547 m3