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In a centrifugal compressor, the highest Mach number leading to shock wave in the fluid flow occurs at
  • a)
    diffuser inlet radius
  • b)
    diffuser outlet radius
  • c)
    impeller inlet radius
  • d)
    impeller outlet radius
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
In a centrifugal compressor, the highest Mach number leading to shock ...
When the Mach number at impeller inlet radius exceeds unity, the air gets deflected through certain angle before its entry into the radial channel of the impeller vane. This leads to formation of shockwave which cause a rapid increase in the lossles.
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In a centrifugal compressor, the highest Mach number leading to shock ...
Centrifugal Compressor and Mach Number

A centrifugal compressor is a type of dynamic compressor used in various industries for compressing gases. It works on the principle of converting kinetic energy into potential energy by accelerating the gas in a radial direction through the impeller.

The Mach number is a dimensionless quantity used to describe the velocity of a fluid flow relative to the speed of sound. It is an important parameter in the study of compressible fluid flow and helps determine the occurrence of shock waves.

Highest Mach Number Occurs at Impeller Inlet Radius

The highest Mach number leading to a shock wave in the fluid flow occurs at the impeller inlet radius of a centrifugal compressor. This is because the gas entering the impeller is at its lowest pressure and highest velocity, which can cause the Mach number to exceed the critical value and result in a shock wave.

The impeller is the rotating component of the centrifugal compressor that imparts kinetic energy to the gas by accelerating it in a radial direction. The gas then flows to the diffuser, where the kinetic energy is converted into potential energy by slowing down the gas and increasing its pressure.

Conclusion

In summary, the highest Mach number leading to a shock wave in the fluid flow occurs at the impeller inlet radius of a centrifugal compressor. This is due to the high velocity and low pressure of the gas entering the impeller, which can cause the Mach number to exceed the critical value and result in a shock wave. Understanding this phenomenon is important in the design and operation of centrifugal compressors to ensure efficient and reliable performance.
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In a centrifugal compressor, the highest Mach number leading to shock wave in the fluid flow occurs ata)diffuser inlet radiusb)diffuser outlet radiusc)impeller inlet radiusd)impeller outlet radiusCorrect answer is option 'C'. Can you explain this answer?
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