The math is simply that the heat leak scales linearly with radius, not quadratically, because as you pointed out in your post, a larger container can have thicker walls.
If you scale outer radius at the same rate as inner radius, the thickness increases. And that impacts cost of boiloff by bringing it down by 100 times. Beautiful.
The math is simply that the heat leak scales linearly with radius, not quadratically, because as you pointed out in your post, a larger container can have thicker walls.
So, heat leak ~ r
Volume ~ r^3
Volume/(heat leak) ~ r^3/r = r^2
Oh, that makes sense.
If you scale outer radius at the same rate as inner radius, the thickness increases. And that impacts cost of boiloff by bringing it down by 100 times. Beautiful.