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Answer: You may refer to the following book: Flow Control by Gad El Hak. The book gives all that you are looking for. Regards, Pradeep.
Answer: The lecture notes will be uploaded on the NPTEL website shortly. Please look out for the same.
Answer: Please check the velocity triangle. When the axial velocity is constant, for an impulse turbine rotor, V2=V3=C3. Here you should be getting alpha3=beta3 and beta2. Please re-check.
Answer: Density can be calculated by assuming the inlet pressure and temperature to be that of standard sea level conditions. Work done will be +51.2 as it is a function of tan(beta1)-tan(beta2).
Answer: This is a typo error. P2 should be 0.963 bar as you have correctly pointed out. Thanks. The slides will be corrected shortly.