Hi!
I have a scenario with a vessel being impinged by fire. Through the following equations, I manage to find the vessel surface temperature at each time step.
Eqn 1 - Heat Absorbed by Vessel due to Fire Impingement
Q = QR + QC
Q = ƐSσ(ƐFTF4 – TS4) + HC(TF – TS)
Eqn 2 - Temperature Rise
ΔT = [Δt(QR + QC)]/CSρSWS
In this case, my vessel is at 85 bar and I have the depressurization curve which lasts for 15 minutes. To determine if my vessel fails, I find the point where the vessel temperature reaches 998K and that is my Time to Failure.
However, reading the API, they used stress and Ultimate Tensile Strength to determine the time to rupture.
Hence my approach below.
Vessel Stress Calculation
Since I have the depressurization curve and pressure rise due to fire impingement is small. I can calculate the following based on the internal pressure at each time step.
1. Hoop Stress
2. Axial Stress
3. Von Mises Stress
Vessel Allowable Stress at Elevated Temperature
As the vessel's material is a SA-516 carbon steel, I referred to the following link to obtain the allowable stress of the vessel based on the vessel surface temperature calculated in Eqn 2.
Link: https://www.cis-insp...e-stresses.html
Having these 2, the point where the line cross each other is the vessel failure time. Can I get some input if this approach is right?