-
A single pipe of length 1500 m and diameter 60 cm connects two reservoirs having a difference of 20 m in their water levels. The pipe is to be replaced by two pipes of the same length and equal diameter d to convey 25% more discharge under the same head loss. If the friction factor is assumed to be the same for all the pipes, the value of d is approximately equal to which of the following options?
-
- 37.5 cm
- 40.0 cm
- 45.0 cm
- 50.0 cm
Correct Option: D
Total discharge = 1.25 × Q
| Discharge in one pipe = | ||
| 2 |
| Head loss in one pipe, hf1 = | ||
| 2gD1 |
| = | ||
| 2gD1A² |
| = | ||
| 2gD1 × (D1²)² |
Initial head loss, hf1 = final head loss, hf2
∴ D1 = 50 cm.
