A 20-cm in diameter pipeline with a relative roughness of 0.01 has a total length of 45 m. When water (viscosity is 1x10-7 m2/s)is pumped through it at a rate of 5 m3/min, the major head loss (m) is most nearly A) 3 mB) 10 mC) 15 mD) 20 m

A) 3 m

Explanation:

The major head loss is calculated by using the expression:

here:

U = Q/A

Using the continuity equation:

U = 2.65 m/s

Reynolds no =

= 594,894

Thus, this implies that the flow is turbulent.

Using Moddy's diagram at 5.94 × 10⁻⁵ &;

the relative roughness of 0.01

f = 0.038

Thus, the major head loss =

= 3.06 m

3 m

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explanation: