3. A centrifugal compressor with radial vanes was designed to operate at a rotational speed of 2400 rpm. The compressor requires 1 MW of power to compress the incoming air. Incoming air flow rate is 8 kg/s. The air enters the intake axially and the stagnation conditions are 103 kPa and 288 K. Assuming the slip factor is 0.9 and the specific speed N₁ = $⁰.5/ yº.75=0.7, where ☀ = C x₁ / U₂ and y = AW/(U₂) ². Determine (i) the vane tip speed; (ii) the axial velocity at inlet, C x1 ; (iii) the inlet Mach number, M₁; (vi) the inlet area.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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3. A centrifugal compressor with radial vanes was designed to operate at a rotational speed
of 2400 rpm. The compressor requires 1 MW of power to compress the incoming air.
Incoming air flow rate is 8 kg/s. The air enters the intake axially and the stagnation
conditions are 103 kPa and 288 K. Assuming the slip factor is 0.9 and the specific speed N₁
= $⁰.5/ p0.75=0.7, where = C x₁ / U₂ and y = AW/(U₂) ². Determine
(i) the vane tip speed;
(ii) the axial velocity at inlet, C x1 ; (iii) the inlet Mach number, M₁; (vi) the inlet area.
Transcribed Image Text:3. A centrifugal compressor with radial vanes was designed to operate at a rotational speed of 2400 rpm. The compressor requires 1 MW of power to compress the incoming air. Incoming air flow rate is 8 kg/s. The air enters the intake axially and the stagnation conditions are 103 kPa and 288 K. Assuming the slip factor is 0.9 and the specific speed N₁ = $⁰.5/ p0.75=0.7, where = C x₁ / U₂ and y = AW/(U₂) ². Determine (i) the vane tip speed; (ii) the axial velocity at inlet, C x1 ; (iii) the inlet Mach number, M₁; (vi) the inlet area.
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