Direction: An upward flow of oil (mass density 800 kg/m³, dynamic viscosity 0.8 kg/m–s) takes place under laminar conditions in an inclined pipe of 0.1 m diameter as shown in the figure. The pressures at section 1 and 2 are measured p1 = 435 kN/m² and p² = 200 kN/m². 
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The discharge in the pipe is equal to
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- 0.100 m³/s
- 0.127 m³/s
- 0.144 m³/s
- 0.161 m³/s
Correct Option: B
| Loss of head, hf = | ||
| 2gD |
| f = | = | ||
| Re | ρVrD |
| ∴ hf = | × | = | |||
| ρVD | 2gD | PgD² |
| = | ||
| 0.8 × 9.81 × (0.1)² × 10³ |
Applying Bernoulli’s equation and substituting values,
| = | + 5 . sinθ + hf | ||
| r | r |
we get, V = 16.2 m/s
| Q = | × d² = 0.127 m³/s | |
| 4 |
