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Turbomachinery Aerodyanmics

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Turbomachinery Aerodyanmics ( turbomachinery-aerodyanmics )

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(Refer Slide Time: 07:41) So, the problem number 1 that we have for today is the following. The rotor of an inward flow radial turbine, which is designed to operate at the normal condition is 23.76 centimeters in diameter and rotates at 38,140 revolutions per minute. At the design point, the absolute flow angle at the rotor entry is 72 degrees. The rotor mean exit diameter is one half of the rotor diameter and the relative velocity at the rotor exit is twice the relative velocity at the rotor inlet. Determine the specific work done. So, in this particular problem, it is basically a very simple problem that, of course the first problem that I normally solve is a very simple problem. We have some dimensions of the rotor; we have rotor diameter and we have the rotational speed and the nozzle inlet angle. We also have been given that the rotor mean diameter is one half of the rotor exit diameter and the relative velocity at rotor exit is twice the relative velocity at the rotor inlet. So, based on this data that we have, we need to find the specific work done. So, I would say this is a very simple problem but, again as I keep emphasizing every time I have a tutorial session is that, we start solving a problem with the velocity triangles. So, let us construct the velocity triangles in this particular case. And then, we shall see and proceed towards solving this problem because velocity triangle will help us to understand, what the known parameters are and what are those parameters, which we need to estimate and calculate? So, for a 90 degree IFR turbine, we have the velocity triangles as shown.

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