If \(\Delta h_m\) and \(\Delta h_f\) are the enthalpy drops in moving and fixed blades respectively, then the degree of reaction is defined as

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BPSC AE Paper 5 (Mechanical) 25th March 2022 Official Paper
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  1. \({\Delta h_m}\over{\Delta h_f}\)
  2. \({\Delta h_f}\over{\Delta h_m}\)
  3. \({\Delta h_m}\over{\Delta h_m +\Delta h_f}\)
  4. \({\Delta h_f}\over{\Delta h_m +\Delta h_f}\)

Answer (Detailed Solution Below)

Option 3 : \({\Delta h_m}\over{\Delta h_m +\Delta h_f}\)
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Detailed Solution

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Explanation:

  • Axial flow compressors usually consist of a series of stages
  • Each stage comprises of a row of rotor blades followed by a row of stator blades
  • The working fluid is initially accelerated by the rotor blades and then decelerated in the stator passages
  • In the stator, the kinetic energy transferred in the rotor is converted to static pressure
  • This process is repeated in several stages to yield the necessary overall pressure ratio
  • Degree of reaction provides a measure of the extent to which the rotor contributes to the overall pressure rise in the stage
  • For all types of axial flow compressors, the degree of reaction is usually 0.5.

\({R_x} = \frac{{{\rm{Static\;enthalpy\;rise\;in\;the\;rotor}}}}{{{\rm{Stagnation\;enthalpy\;rise\;in\;the\;stage}}}}=\frac{\Delta h_m}{\Delta h_m+\Delta h_f}\)

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