How Much Heat Must Be Removed in an Adiabatic Compressor Process?

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SUMMARY

The discussion centers on the heat removal required in an adiabatic compressor process where air flows from 1 bar and 25°C to 3 bar, with a mechanical work input of 240 kJ/kg. The confusion arises from the definition of adiabatic processes, which indeed imply no heat transfer. The mechanical kinetic energy of the air before and after compression is calculated, highlighting that the energy imparted by the compressor does not change the internal energy of the air due to the adiabatic nature of the process. The key conclusion is that the heat removed from the compressor must equal the mechanical work input to maintain the adiabatic condition.

PREREQUISITES
  • Understanding of adiabatic processes in thermodynamics
  • Knowledge of mechanical work and energy transfer
  • Familiarity with the ideal gas laws
  • Basic principles of fluid dynamics
NEXT STEPS
  • Study the principles of adiabatic processes in thermodynamics
  • Learn about the First Law of Thermodynamics and its application to compressors
  • Explore calculations of mechanical work done in fluid systems
  • Investigate the relationship between pressure, temperature, and velocity in compressible flow
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Mechanical engineers, thermodynamics students, and professionals involved in the design and analysis of compressor systems will benefit from this discussion.

suertempila
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Air at 1 bar and 25°C continuously flows through a rigid compressor at a low velocity of 1 m/s. The air exits the compressor at 3 bar, and then enters a nozzle in which it expands adiabatically to a final velocity of 600 m/s at the initial conditions of temperate and pressure. Assume no change in elevation, and that the inlet and outlet conditions are constant with time. If the compressor transfers 240 kJ/kg of mechanical work to the air, how much heat must be removed from the compressor?

I am completely confused. Adiabatic means no heat transfer?.. Please help
 
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suertempila said:
Air at 1 bar and 25°C continuously flows through a rigid compressor at a low velocity of 1 m/s. The air exits the compressor at 3 bar, and then enters a nozzle in which it expands adiabatically to a final velocity of 600 m/s at the initial conditions of temperate and pressure. Assume no change in elevation, and that the inlet and outlet conditions are constant with time. If the compressor transfers 240 kJ/kg of mechanical work to the air, how much heat must be removed from the compressor?

I am completely confused. Adiabatic means no heat transfer?.. Please help
What is the mechanical kinetic energy of one kg of air before compression? What is the mechanical kinetic energy of the same air at the outlet. What is the difference, then, in energy of that kg of air between inlet and outlet? (Since the adiabatic expansion causes the gas to return to its initial temperature and pressure, is there any difference in the internal energy of the air between inlet and outlet?).

How much work was done by the compressor on that kg of air? What is the difference between the work done to and the mechanical energy imparted to that kg of air? What happens to that difference?

AM
 

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