Calculating Air Temp Increase from Atmospheric to 3 Bar Pressure

In summary, the formula for calculating air temperature increase from atmospheric to 3 bar pressure is: T2 = T1*(P2/P1)^(gamma-1). This calculation is important in various applications, such as gas compression, scuba diving, and aerospace engineering. Factors that can affect the accuracy of the calculation include the specific heat ratio of air and the assumption of adiabatic compression. The calculated air temperature increase can be used in practical applications to determine equipment limitations and design effective cooling systems. However, there are limitations to using this formula, as it does not account for real-world factors such as heat transfer, turbulence, and non-ideal gas behavior.
  • #1
Sakthi1267
7
0
How to calculate the raise in temperature of air when it's pressurized by a piston type air pump from atmospheric pressure to 3 bar(gauge pressure) ?
 
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  • #2
one can read wikipedia on "Adiabatic process", there are expressions involving both pressures, temperatures and gamma = 1.4 for air
 
  • #3
it depends upon the process.whether its isentropic or polytropic.If its isentropic then the formula wouls be

T2\T1=(p2/p1)^(gamma-1\gamaa0.gamma=1.4
 
  • #4
sorry its gamma -1\gamma.t1 may be normal temp
 

What is the formula for calculating air temperature increase from atmospheric to 3 bar pressure?

The formula for calculating air temperature increase from atmospheric to 3 bar pressure is: T2 = T1*(P2/P1)^(gamma-1), where T2 is the new temperature at 3 bar pressure, T1 is the initial temperature at atmospheric pressure, P2 is the final pressure (3 bar), P1 is the initial pressure (1 bar), and gamma is the ratio of specific heats for air (1.4).

What is the purpose of calculating air temperature increase from atmospheric to 3 bar pressure?

The purpose of calculating air temperature increase from atmospheric to 3 bar pressure is to understand the change in temperature that occurs when air is compressed to a higher pressure. This is important in applications such as gas compression, scuba diving, and aerospace engineering.

What factors can affect the accuracy of the calculated air temperature increase?

The accuracy of the calculated air temperature increase can be affected by factors such as the specific heat ratio of air (gamma), which may vary slightly depending on the temperature and pressure conditions, and the assumption that the compression process is adiabatic (no heat exchange with the surroundings).

How can the calculated air temperature increase be used in practical applications?

The calculated air temperature increase can be used in practical applications to determine the maximum temperature that a gas or air compressor can reach, to ensure that the equipment can handle the temperature rise, and to design systems that can effectively dissipate the heat generated during compression.

Are there any limitations to using this formula for calculating air temperature increase?

Yes, there are limitations to using this formula for calculating air temperature increase. It assumes that the compression process is adiabatic and reversible, which may not be the case in real-world scenarios. It also does not take into account factors such as heat transfer, turbulence, and non-ideal gas behavior, which can affect the accuracy of the calculation.

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