-
Two reservoirs are connected through a 930 m long, 0.3 m diameter pipe, which has a gate valve. The pipe entrance is sharp (loss coefficient= 0.5) and the valve is half-open (loss coefficient = 5.5). The head difference between the two reservoirs is 20 m. Assume the friction factor for the pipe as 0.03 and g =10 m/s². The discharge in the pipe accounting for all minor and major losses is _________ m³/s.
-
- 1.9854 m³/s
- 2.1254 m³/s
- 0.1413 m³/s
- 1.2561 m³/s
Correct Option: C
0.1413
Total loss = difference in head = 20m.
| Entry loss = | ||
| 2g |
| Loss due to value = | ||
| 2g |
| Exit loss = | ||
| 2g |
| Friction loss = | ||
| 2gd |
| ∴ | + | + | + | = 20 | ||||
| 2g | 2g | 2g | 2gd |
 | 0.5 + 5.5 + 1 + |  | = 20 | ||
| 2g | 0.3 |
| ⇒ | × 100 = 20 ⇒ v = 2 m/s | |
| 2g |
| θ | × d² × v | |
| 4 |
| × (0.3)² × 2 = 0.1413 m³/s | ||
| 4 |
