Flow coefficient in axial compressor is defined as-______. (Axial velocity of flow = vf, Blade velocity at periphery = u)

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  1. \(\frac{{{v_f}}}{u}\)
  2. \(\frac{u}{{{v_f}}}\)
  3. \(\frac{{{v_f} + u}}{u}\)
  4. \(\frac{{{u^2}}}{{{v_f}}}\)

Answer (Detailed Solution Below)

Option 1 : \(\frac{{{v_f}}}{u}\)

Detailed Solution

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Explanation:

Flow Coefficient (ϕ ) – The flow coefficient of an axial flow compressor is defined as the ratio of mass flow rate and mass flow rate at the tip of the blade.

F1 Ashik Madhu 14.08.20 D21          F1 Ashik Madhu 14.08.20 D22

\(\phi = \frac{{Mass~flow~rate~through~compressor}}{{Mass~flow~rate~at~the~tip~of~blade}} = \frac{m}{{{m_{tip}}}}\)

\(\phi = \frac{{{V_f}}}{{{V_f}\left( {\tan {\alpha _1} + \tan {\beta _1}} \right)}} = \frac{{{V_f}}}{U}\)

α = Angle of absolute velocity V1 at the inlet

β1 = Blade inlet angle

U = Blade velocity

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