How Can I Determine the Compressor Exit Temperature?

AI Thread Summary
In the discussion on product compression, the main focus is on determining the outlet temperature of a compressed gas when the inlet flow rate, pressure, and temperature, as well as the outlet pressure and flow rate, are known. The initial approach using the ideal gas law (P1V1/T1 = P2V2/T2) leads to complications due to the dependency of volume on temperature, resulting in oscillating calculations. A recommended method involves using the T-dS equations for isentropic flow with constant specific heat, specifically the relationship between pressures and temperatures expressed as (P1/P2) = (T1/T2)^(γ/(γ-1)), which provides a more stable calculation for the outlet temperature based on the type of compressor and process involved.
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:

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