GATE ME 2018 Set 2 — Question 55
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Fluid Mechanics → Dimensional Analysis & Similitude → Model Testing
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Question
A test is conducted on a one-fifth scale model of a Francis turbine under a head of and volumetric flow rate of at . Take the water density and the acceleration due to gravity as and , respectively. Assume no losses both in model and prototype turbines. The power (in ) of a full sized turbine while working under a head of is _______ (correct to two decimal places).
Correct answer
28.85 to 29.25
Solution
1.Given data for model () and prototype ():
- Scale ratio:
- Model: , ,
- Prototype:
3.Using the discharge coefficient similarity law ():
4.Calculate the power of the prototype () assuming no losses:
The power of the full-sized turbine is .Continue learning with Success Tracker
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