Question

The degree of reaction of an axial compressor stage is defined as the ratio of

• A. Rotor work to total work
• B. Static pressure rise in rotor to total static pressure rise of the stage
• C. Stator work to rotor work
• D. Total pressure rise to kinetic energy rise

Hint:

The degree of reaction is \[ \boxed{ R = \frac{\Delta h_{\text{rotor}}} {\Delta h_{\text{stage}}} } \] and indicates how the pressure rise is shared between the rotor and stator.

Answer 1

The Correct Option is B

Step 1: Recall the definition of degree of reaction. The degree of reaction of an axial compressor stage is defined as \[ \boxed{ R = \frac{\text{Static enthalpy rise in the rotor}} {\text{Total static enthalpy rise of the stage}}. } \] Since static enthalpy rise is directly proportional to static pressure rise, \[ \boxed{ R = \frac{\text{Static pressure rise in the rotor}} {\text{Total static pressure rise of the stage}}. } \]

Step 2: Identify the correct option. Therefore, \[ \boxed{\text{Static pressure rise in rotor to total static pressure rise of the stage}} \] is the correct answer. Thus, \[ \boxed{(B)} \] is the correct answer.