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A test is conducted on a one-fifth scale model of a Francis turbine under a head of 2 m and volumetric flow rate of 1 m3/s at 450 rpm. Take the water density and the acceleration due to gravity as 103 kg/m3 and 10 m/s2, respectively. Assume no losses both in model and prototype turbines. The power (in MW) of a full sized turbine while working under a head of 30 m is _______ (correct to two decimal places).
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- 29.25
- 30.26
- 29.05
- 29
Correct Option: C
= | ||||
Dp | 5 |
Model: H = 2 m, Q = 1 m3 /s
Prototype: H = 30 m, P =?
N = 450 rpm, ρ = 1000 kg/m3 /g = 10 m/s2
For model, pm = ρgQH = 1000 × 10 × 1 × 2 = 20 kW
![](http://images.interviewmania.com/wp-content/uploads/2019/10/95.png)
= 29045.24 kW
= 29.05 mW