I have a question about the way API recommends we calculate the required relieving flow for Gas Expansion PSVs.
Per API 521 - 4.4.13.2.4.3 we should calculate discharge area with the F prime that accounts for the wall temp, Relieving temp, and specific heat ratio.
This all makes sense in my head, but where they lose me is in calculating the relieving temp, the equation (11) suggests we use the Ideal gas equation and assume Z=1 to get a relieving temperature.
I understand the relieving temperature is changing, however using this calculated temperature and the associated properties will give us a much smaller flow than if we had iterated the compressibility to convergence, and used that new relieving temperature.
maybe someone can help me with this concept.
Thank you