Water is transported from a large reservoir to a lower lying reservoir 20 vertic
ID: 1827539 • Letter: W
Question
Water is transported from a large reservoir to a lower lying reservoir 20 vertical height meters below . The pipeline consist of 30 segments, each having a length of 10 meters below . The pipeline consist of 30 segment, each having a length of 10 meters and diameter d= 0.5 m. Each pipe connection induces a minor loss equivalent to a K L =0.1 .Minor losses at the entrance and exit are neglible. What is the exit velocity upsilon of the water ? The friction factor f is known to be 0.01, rho water = 998 kg/m3 . Assume that the kinetic energy correction factor, alpha can be set to 1.Explanation / Answer
As we know that
H = K*(v^2/2g) + Ka*(v^2/2g)
Therefore
20 = 0.1*30*v^2/19.6 + 1*v^2/19.6
Exit velocity , v = 9.89 m/sec
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