I’m designing an alien world, which functions as a nature preserve for some extremely powerful aliens. I haven’t worked out the specific size, distance from the sun etc. yet, but I have already determined that I want an extreme amount of diversity of life. This is made possible by humongous towers which project a forcefield between them, and which keeps the drastically different atmospheres and water bodies separate.
However, I’m not sure about the strength needed. There’s no need to answer about the plausibility of it, but I do want to know the strength necessary. Here are some things that you can assume:
The radius of the planet is 1.8x that of earth.
The gravity is that of earth
The air pressure can vary between 0.9x and 2.4x that of earth
It should be capable of separating lakes and the atmosphere (no need to worry about water)
If there are any other things you need to know, assume Earthlike conditions.
Oh, and the atmospherical composition always has at least 21% to as much as 40% oxygen, with the remainder being nitrogen, carbon dioxide, water, and other stuff. But you can assume the earth’s composition if you want, since that’ll also exist.
I’ve read in this article that clouds can form at a bit above 6km above sea level, so the barrier will be 8km high.
The length of the barrier (the distance between towers) is 1700km.
The thickness of the barrier is half a meter.
I think that the difference in airpressure will seriously complicate it, since air flows from dense to less dense places (I think), so we’ll place the climates so that the difference in airpressure between them will be no more than 13% at a time.
The forcefield has no friction.
Power is not a problem.
Light can travel through it, although any matter can’t.
So I’ll reiterate the question: What is the minimum strength that my forcefield needs to have to keep various atmospheres with a difference of 13% in total pressure?
I calculated that the surface area of the atmospheres is 3.57e12 meters. Not kilometers, meters. I did this by making a polygon the size of France and scaling it to an area corresponding to a radius of 1.8x the size of earth.
This is my first question on this forum, so if this doesn’t follow guidelines (which I think it does) or needs clarification, please say so. I’ll edit it if necessary.
I am aware that the gravity will affect the atmosphere, but I don’t know how to calculate the density in that case, so let’s go earthlike for now.
Edit: I’ve just found out that atmospherical pressure relies on the amount of gas, not only size. No idea how to use this info other than raising the height to 17km. That should cover it, right?
Edit 2: As pointed out in the comments, I need to clarify the parameters and the type of forcefield. You can treat it as a solid wall, and the strength I’m talking about is compressive strength. Force in Newtons. Thanks to AlexP and Jiminy Cricket for pointing this out.