Multistage Compressor: Power Distribution

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In a multistage compressor operating under isentropic conditions, it is typically assumed that each stage contributes equally to the total power output. Each stage is designed to optimize efficiency by increasing pressure while reducing volume. To maximize overall efficiency, the intermediate pressure P2 can be calculated based on the inlet pressure P1 and outlet pressure P3. This optimization ensures that the product of the efficiencies of all stages is maximized. Understanding these principles is crucial for effective compressor design and operation.
gfd43tg
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Hello,

When using a multistage compressor that is assumed to be isentropic with no interstage temperature increases, is it assumed each stage does the same amount of power?
 
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Each stage increases the pressure while decreasing the volume and should be designed for maximum efficiency.
For an inlet pressure P1 and an outlet pressure P3, can you find the intermediate pressure P2 that would maximise the efficiency of the whole process = product of all stage efficiencies.
 

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