This is an interesting problem. The enclosed skirt with the vent holes at the top at first seems like the perfect solution, until you think about the ‘two surfaces’ The surface of the pot and the surface of the skirt. They’re basically getting the same amount of heat.
It is better than just the pot to the open air, but what if you could also put the heat that’s in the skirt into the pot? And that’s solution #2 above. I like the wire ‘spring’ device to keep the fins against the pot. There’s still an outside and an inside.
Then there’s the Jet Boil fins method. The fins are on the bottom, the pot is insulated. What I always notice is that it’s hard to get burned from the JetBoil pot.
Now I don’t fully understand the engineering and thermodynamics of these three systems, but I have some experience with the JetBoil solution. Most of us have seen or used the Jet Boil pot. It works. Some of us have seen the JetBoil skillet, and it generally gets bad reviews (personally I like it. I backpack with eggs, veggies, olive oil, I would never use the JB skillet in my kitchen, it heats unevenly, but on the trail, it’s okay). It too has fins on the bottom. The big difference between the skillet and the pot is that you get better view of what the heat is doing with the skillet. The center of the skillet, in a ring a bit larger than the burner underneath is the hottest spot, farther out above the fins, a lot less heat. To me this indicates that a really high percentage of the heat is going right into the pot just above the burner.
I also (think I) know the fins are efficient because not a lot of heat seems to be escaping, but I also know that they aren’t getting super hot because there’s no scorching above the fins. So there’s not a lot of heat this far out.
Conclusion? In all stove set-ups, I don’t think there’s a lot of heat going out the side compared to what’s hitting the bottom of the pot-most of the heat is hitting the bottom of the pot. (There are probably some numbers somewhere proving me an idiot.)Â The best skirt method would do three things. 1. Insulate the side of the metal pot from radiating heat and being cooled by air movement 2. Capture the heat energy going up the side of the pot and 3. by conduction transfer any heat from the skirt to the pot.
I think the JetBoil pot (how is the MSR pot similar or different?) basically works by 1. capturing extra heat before it goes out the sides 2. Insulate the pot. For Jerry Adams’ zig-zag skirt, I think a capture flange at the bottom, and then the zig-zags in contact with the pot would be effective. I also think that it would be best if the fins were welded or soldered to the pot. Carbon build up insulates (burnt carbon is one of the ablation methods used in heat shields for space vehicle re-entry. Is there any sciFi where in a pinch the hero makes a thick layer of hard candy to use as a heat shield?)
If you want to make a zig-zag ring for underneath the pot, rough back of the envelope seems to indicate starting with a length of foil about 3.5-4x longer than the outside circumference of the pot. You could make perfectly parallel fins if you curved the strip, but it probably won’t be necessary. (with a straight strip the zig-zag gaps will be tighter on the inside then the outside). At the top of the zig-zag I would make a short flat bit where it contacts the pot. A skirt around the outside of the fins would probably help, and also keep the whole business from turning into a Slinky toy. (Well PhotoShop refuses to open… so no picture).  Does it show that I’m supposed to be doing something else?