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

In summary: I CORRECT IN ASSUMING THAT ADIABATIC EXPANSION DOES NOT INVOLVE HEAT TRANSFER? IF NOT, CAN YOU EXPLAIN WHY THAT IS?
  • #1
suertempila
1
0
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
 
Science news on Phys.org
  • #2
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
 

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

1. What is a compressor in thermodynamics?

A compressor is a device used to increase the pressure and temperature of a gas by reducing its volume. In thermodynamics, it is an essential component in refrigeration, air conditioning, and gas turbine systems.

2. How does a compressor work?

A compressor works by using a motor or engine to drive a piston or rotor to compress the gas. The compression process increases the kinetic energy of the gas molecules, resulting in an increase in temperature and pressure.

3. What are the different types of compressors in thermodynamics?

There are three main types of compressors used in thermodynamics: positive displacement compressors, dynamic compressors, and axial compressors. Positive displacement compressors have a fixed volume and compress gas by decreasing the volume of the compression chamber. Dynamic compressors use rotating impellers to increase the gas velocity and then convert it to pressure. Axial compressors use a series of rotating and stationary blades to compress the gas in a continuous flow.

4. What is the difference between isentropic and polytropic efficiency in a compressor?

Isentropic efficiency refers to the efficiency of a compressor when the compression process is reversible and adiabatic. Polytropic efficiency takes into account the effects of friction and heat transfer during the compression process. Therefore, the polytropic efficiency is always lower than the isentropic efficiency.

5. How do you calculate the performance of a compressor?

The performance of a compressor can be calculated using the compressor power, volumetric flow rate, and inlet and outlet conditions. The compressor power is the amount of energy required to drive the compressor, and the volumetric flow rate is the volume of gas passing through the compressor per unit time. Inlet and outlet conditions, such as temperature and pressure, can be used to calculate the compression ratio and specific heat ratio, which are important parameters in determining the compressor performance.

Similar threads

Replies
22
Views
2K
  • Mechanical Engineering
Replies
20
Views
948
Replies
1
Views
831
  • Thermodynamics
Replies
5
Views
1K
  • Mechanical Engineering
Replies
1
Views
1K
  • Mechanical Engineering
Replies
8
Views
2K
  • Introductory Physics Homework Help
Replies
8
Views
784
  • Introductory Physics Homework Help
Replies
1
Views
1K
  • Engineering and Comp Sci Homework Help
Replies
7
Views
2K
  • Introductory Physics Homework Help
Replies
1
Views
788
Back
Top