How Can I Determine the Compressor Exit Temperature?

Click For Summary
SUMMARY

The discussion focuses on determining the compressor exit temperature using known inlet conditions such as flow rate, pressure, and temperature. The user initially attempted to apply the ideal gas law (P1V1/T1=P2V2/T2) but encountered difficulties due to the temperature dependence of volume. The recommended approach involves utilizing the T-dS equations for isentropic flow with constant specific heat, specifically the formula p1/p2 = (T1/T2)^(γ/(γ-1)), which provides a more stable method for calculating exit temperature based on pressure ratios and specific heat ratios.

PREREQUISITES
  • Understanding of thermodynamic principles, specifically isentropic processes.
  • Familiarity with the ideal gas law and its applications.
  • Knowledge of specific heat ratios (γ) for different gases.
  • Experience with flow rate and pressure measurements in compression systems.
NEXT STEPS
  • Research the T-dS equations for isentropic flow in detail.
  • Study the impact of specific heat on compressor performance and calculations.
  • Learn about different types of compressors and their operational characteristics.
  • Explore iterative methods for solving thermodynamic equations in engineering applications.
USEFUL FOR

Mechanical engineers, process engineers, and anyone involved in the design or analysis of compression systems will benefit from this discussion.

thearny
Messages
33
Reaction score
0
Product Compression. I am currently doing some work on compression. I know the flowrate in and the pressure and temperature in, and I know the pressure (and flowrate) out. Can I determine the temperature out?

I have tried using P1V1/T1=P2V2/T2, but as V is a function of T (using values from Perry's) I have ended up in iterative cycle in which the exit T is oscillating increasingly wildly with time.

What is the best approach to these calculations?

Thanks in advance.
 
Engineering news on Phys.org
The "best" approach definitely depends on the type of compressor and the process being undertaken.

If you want a place to start, you can look at the T-dS equations for isentropic flow with constant specific heat to come up with:

[tex]\frac{p_1}{p_2}=\left[\frac{T_1}{T_2}\right]^{\frac{\gamma}{\gamma-1}}[/tex]
 

Similar threads

  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 23 ·
Replies
23
Views
4K
  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 33 ·
2
Replies
33
Views
4K
Replies
1
Views
2K
Replies
1
Views
1K
  • · Replies 15 ·
Replies
15
Views
6K
  • · Replies 20 ·
Replies
20
Views
5K
  • · Replies 14 ·
Replies
14
Views
2K
  • · Replies 4 ·
Replies
4
Views
6K