Hi,
It is rather important to specify the relieving scenarios to us. Assuming all 3 PSVs open at the same time, not likely. Assuming the largest flow PSV, I would think it's the compressor outlet blocked discharge case. Some client would prefer Gas Blowby at the suction scrubber instead of Fire case, which I don't agree. As long as the recycle / spill back valve is operational, I don't see a possibility of the suction / discharge pressure going up. There are possibilities that the suction can arrive at high pressure but let's take it else where.
Reason is... The higher the back pressure, the smaller the pipe (gas is compressible afterall). But it is NOT always the case that I choose to use the maximum backpressure because I want a smaller pipe size or because the client never specified in the contract and I do what I want.
Put it this way, if it is Fire Case... which will cause an EDP (emergency depressurization) and all the blowdown valves will open. The flare header pressure will increase and hence obtaining maximum back pressure. But Fire case rarely governs the header size.
But if it is a blocked discharge or gas blowby scenario, the flare system operates at near atmospheric. I.E. in my opinion, your flare header will need to be sized at near atmospheric condition.
Hope we are on the same page, we're talking about sub flare headers right; since the Mach no. is 0.7 and you mentioned common header on compression package? Do also check if the specification also requires you to check against momentum criteria.
Thanks.
Lai