GATE ME 2020 Set 2 — Question 28
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Turbomachinery → Hydraulic Turbines & Pumps → Impulse & Reaction Principles
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Question
The values of enthalpies at the stator inlet and rotor outlet of a hydraulic turbomachine stage are and respectively. The enthalpy at the stator outlet (or, rotor inlet) is . The condition indicates that the degree of reaction of this stage is
Correct answer
(B) 50%
Solution
The degree of reaction () is defined as the ratio of the enthalpy drop in the rotor to the total enthalpy drop in the stage.
For a turbine stage:
Given:
The total enthalpy drop is:
Substituting this into the expression for :
Similarly, for a pump/compressor stage, the enthalpy rise is used, leading to the same result.
For a turbine stage:
Given:
The total enthalpy drop is:
Substituting this into the expression for :
Similarly, for a pump/compressor stage, the enthalpy rise is used, leading to the same result.
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