A two-stage centrifugal compressor (Figure 12.17) has the following data: First Stage Second Stage 1.04 0.9 0.6 0.16 0.32 0.78 0.95 Power input factor Slip factor Overall diameter of the impeller (m) Eye root diameter (m) Eye tip diameter (m) Isentropic efficiency Mechanical efficiency 1.04 0.9 0.6 0.16 0.32 0.8 0.8 The rotational speed is 240 rps, air mass flow rate is 10 kg/s, inlet stagnation condi- tions are Toi = 330 K and Po₁ = 1.15 bar. The total pressure drop in the duct between the two stages is AP 3-4 = 5%. Calculate 1. The overall pressure ratio of the compressor 2. If p₁=1.234 kg/m³, Cat = C2 Ca4 = C₁5, calculate the diffuser depth for each stage 3. The power needed to drive the compressor

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12.24 A two-stage centrifugal compressor (Figure 12.17) has the following data:
First Stage
Second Stage
1.04
0.9
0.6
0.16
0.32
0.78
0.95
Power input factor
Slip factor
Overall diameter of the impeller (m)
Eye root diameter (m)
Eye tip diameter (m)
Isentropic efficiency
Mechanical efficiency
1.04
0.9
0.6
0.16
0.32
0.8
0.8
The rotational speed is 240 rps, air mass flow rate is 10 kg/s, inlet stagnation condi-
tions are To = 330 K and Po1 = 1.15 bar. The total pressure drop in the duct between
the two stages is AP3-4 = 5%. Calculate
1. The overall pressure ratio of the compressor
2. If p₁=1.234 kg/m³, Ca1 = C₁2, Ca4 = C₁5, calculate the diffuser depth for each stage
3. The power needed to drive the compressor
Transcribed Image Text:12.24 A two-stage centrifugal compressor (Figure 12.17) has the following data: First Stage Second Stage 1.04 0.9 0.6 0.16 0.32 0.78 0.95 Power input factor Slip factor Overall diameter of the impeller (m) Eye root diameter (m) Eye tip diameter (m) Isentropic efficiency Mechanical efficiency 1.04 0.9 0.6 0.16 0.32 0.8 0.8 The rotational speed is 240 rps, air mass flow rate is 10 kg/s, inlet stagnation condi- tions are To = 330 K and Po1 = 1.15 bar. The total pressure drop in the duct between the two stages is AP3-4 = 5%. Calculate 1. The overall pressure ratio of the compressor 2. If p₁=1.234 kg/m³, Ca1 = C₁2, Ca4 = C₁5, calculate the diffuser depth for each stage 3. The power needed to drive the compressor
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