ColourfulFigsandDiags
Not a small set of issues you raise.
Things called "seals" on stacks are usually given the minimum practical purge rate by the vendor.
For labyrinth type seals (incl what you call "molecular" but that's a trade name), the rate used to be in the range of 0.07 fps, but commercial (sales) pressures have driven that down and these days it tends to be given in the region of 0.03 fps. The labyrinth device causes a gas flow inversion and, theoretically, gives you an air/gas interface somewhere inside the seal. You replace the diffusion zone by constantly purging. The velocity is relatively unimportant regarding whether it can do its job of inverting the gas flow. As long as the rate is greater than the interface diffusion rate (~ 0.01 fps ?) it will work. What you sacrifice with the low velocity is the restoring time. When the wind blows or the atmospheric conditions change, the interface relocates itself in the seal. If it moves too far in, the inversion effect is lost, but will eventually be restored as more purge gas flows into the device. With a low velocity like 0.03 fps, the restoring time could be 5 to 10 minutes.
That all tends to be farly moot anyway, because rates like this are useless unless the flare is dormant and just waiting for start-up. Once the flare is live, you need to hold a velocity which doesn't generate a burn-back condition. That tends to be greater than 0.1 fps for small tips and as great as 0.5 fps for big tips (hence the API comment)
Go to my web site
links|services for a paper which covers this (amongst other things)
I have some stuff on seals on the web site too.
When you set the basic system purge for the headers and laterals, you need to be aware of the minimum rate needed for the flare and not go below that. Then you can set about "guessing" the rate needed to sweeten the headers which, in total, may or may not be more than the flare minimum. The flare minimum can be distributed amongst the laterals and subheaders as you see fit.
In operation the flame needs flammable gas at a rate sufficient to support its burning outside the tip. You can set this using one specific and controllable flammable purge which the operators can tweak according to whether there is a concurrent relief condition or not. You don't need to waste this purge gas if there's is a big relief all the time anyway.
That's just the starting point.
Now we come to your real question.
The shrinkage issues are real and should be addressed. In the main, the problems which could be caused by a changing ambient condition tend to be dwarfed by the normal day-to-day flow conditions, which is why they are not a "big thing" in most cases, although you should certainly think about the possible ramifications.
The bigger issues are what happens if
- you have a long term hot relief which raises the system temperature and then stops
- you have a short term "puke" of really hot stuff which all cools because the pipline is much colder
- you have a condition which allows a lot of material to suddenly run to dew point.
The bottom line in all these calculations is to work out the rate of heat transfer from the material inside the pipe, to the pipeline itself as well as the rate of heat transfer from the pipeline to the atmosphere (is it windy??)
You will need to know the entire system volume, and the mass of the steel you are heating or cooling, as well as the internal and external surface areas (which are almost the same).
What you discover (estimate) is a rate of shrinkage for a specific set of (worstcase?) conditions. You then have to be prepared to match that rate of shrinkage with a gas input. But you only need it when you have a problem so you have to instrument your system to monitor for the problem and then blast away with supplementary purge only when needed.
If you have a water seal in the header it may be useful, to close up the header and prevent a backflow IF a suction condition occurs. The dipleg has to be long enough to support whatever suction you can pull.
See my water seal page at the same website.
The downstream section still has to be protected but you are dealing with a smaller overall volume. Remember that purges upstream of the water seal don't get to the flare when the seal is closed so you need a purge point downstream of the seal.
Also, if your instrumentation scheme includes a pressure monitor, which it may well do, bear in mind that most cells and instruments use an atmospheric reference pressure on one side of the cell. If you are purging a flare with a gas which is lighter than air, the header pressure relative to the atmosphere at the elevation of the header is affected on the inside by the physical height of the column of light gas inside the elevated stack, and on the outside by the equivalent column of heavy air, so the pressure "looks" like a negative even though it isn't really. You have to solve that one by careful use of DP cells.
Getting back to the Mol seal, it has NO BENEFIT relative to this shrinkage issue and in some ways complicates things, partly because of its added volume and partly because, if you DO have a flash back (it's not unknown) the flame running back through the seal reaches a detonation much faster than it would in a plain pipe. I know of at least one case where the seal was physically "blown" off the top of a flare by this effect (not to scare you!!)
Good luck, you have plenty to do.
David