# 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. $$\frac{{{u^2}}}{{{v_f}}}$$

Option 1 : $$\frac{{{v_f}}}{u}$$
Free
General Studies Chapter Test 1
4818
15 Questions 15 Marks 27 Mins

## Detailed Solution

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

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

α = Angle of absolute velocity V1 at the inlet
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