I’m not quite sure I understand the math, but it sounds like you are saying that since there is a tenfold increase in volume per unit area that means not only does less heat reach the cryogen there is more of it to be reached. So the energy efficiency is 10 times, but the storage capacity is also 10 times. Or am I barking up the wrong tree?
100 times as much slack time between refills, wow. That reduces a lot of costs and risks.
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.
Wrong scaling. See my post: if you scale up by 1000 in volume, boil-off time goes down by 100. It’s better than you think!
I’m not quite sure I understand the math, but it sounds like you are saying that since there is a tenfold increase in volume per unit area that means not only does less heat reach the cryogen there is more of it to be reached. So the energy efficiency is 10 times, but the storage capacity is also 10 times. Or am I barking up the wrong tree?
100 times as much slack time between refills, wow. That reduces a lot of costs and risks.
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.