I would like to thank you all for the effort everyone in this thread is putting into educating Scylla. I am very impressed with the range of ways that people have tried to articulate why the idea wouldn’t work. I hope it’s having an impact on its intended audience.
This part is true, but you can’t pump more air out of the jug than the jug weighs so you can’t make a buoyant jug. In fact, what people are trying to tell you is that there is no known material in the universe that will allow to create a vessel that is as light as the air it contains but strong enough not to collapse if you pump all that air out. If you try to make a negative pressure vessel that only withstands some negative internal pressure (i.e., you only partially evacuate the vessel), you can make the vessel weaker and lighter but you will also get less buoyancy because you will still have a lot of air inside. There is apparently no combination of materials and design that will allow you to make a buoyant negative pressure vessel at any level of negative pressure.
At this point, you just have a hot air balloon inside a cold air balloon. If you just eliminate the outside cold air balloon, your internal balloon doesn’t have to carry all the cold air balloon’s weight. The outside cold air balloon isn’t contributing anything to buoyancy.
Yes. And if you eliminate the jug, your hot air balloon will be able to lift more because it will not have to also lift the weight of the jug.
So now you have a heated helium dirigible with the rigid airframe made out of whatever shell material you choose. So you are proposing two elements that differentiate your machine from today’s dirigibles: (1) heated helium, and (2) rigid shell.
(1) I see no theoretical reason you couldn’t make a heated helium dirigible. I’m not sure that the engineering limitations would ever make it worthwhile to do so. According to Machine Elf’s numbers earlier, Helium has only 14.8% of the density of the air that it displaces. Heating the helium would get you some additional lift. How much extra lift you got would be a function of how much you heated it. Using real numbers from the Goodyear site (here:Current Blimps | Goodyear Blimp) and converting cubic feet into cubic meters, I know that there are 8425 cubic meters of helium in the Goodyear Lightfoot One’s envelope. All that helium at Machine Elf’s 0.178 kg per cubic meter means that the helium in the ship has approximately 1500 kg of mass. I understand from googling that hot air balloons are heated roughly 100 degrees Celsius. If we assume that you heat your balloon to 100 C (373 K), and using the gas constant for helium (2077 J/kg K) and atmospheric pressure of 101,300 kPa, we get a density of 0.1308 kg/m^3. That implies a mass of helium in your heated Goodyear Lightfoot One of about 1,101 kg. That means by heating your balloon, you could carry about 399 extra kg of payload, less whatever fuel and heating equipment you’d need to carry to maintain that temperature. I suspect in the end that you wouldn’t be able to carry much extra weight at all once you factor in the heating equipment and fuel. This is probably why there aren’t a lot of heated helium balloons.
(2) So how does your rigid shell help you? Essentially, you would have to substitute your rigid shell in place of the rigid airframe used in today’s dirigibles. For comparison, you would have to replace this lightweight Goodyear airframe (http://www.carbonfibergear.com/wp-content/uploads/2013/09/rear-frame-goodyear-zeppelin.jpg) with a shell that was superior in some way. If it were lighter, that would be great, but I doubt that you could make a shell to cover that whole airship that’s much lighter than Goodyear’s spindly structure. Maybe it would be stronger in some way that would benefit the design (like allowing a more aerodynamic shape or resisting bending better so the dirigible could turn faster or resist higher winds). I am guessing that the aeronautic engineers that designed the Goodyear blimp have a pretty good base of experience to believe that their rigid airframe would beat your eggshell design. You could try to experiment and prove them wrong. Finally, your eggshell design might help to insulate better and reduce heat loss in your heated design. Because your shell is made of imaginary material, we don’t know much about its insulating properties. For this insulating benefit to be worthwhile, it would essentially have to offset whatever weight penalty it costs with reduced heating fuel consumption. Good luck since all the heating fuel has to weigh less than 880 lbs.
No.
On the topic of aerogel negative pressure vessels:
I’d like to thank you for this post. I read through the whole thread wondering if anyone would ask or answer this question. I was guessing that the evacuated aerogel wouldn’t be strong enough to withstand the pressure. It’s kind of the corollary to the idea that there is currently no material good enough to create a pressure vessel strong enough and light enough to displace more air than it weighs. I understand that aerogels are made of materials including silica, carbon, or metals. We already know that we couldn’t build a buoyant pressure vessel out of these materials even with ideal engineering. What are the odds that aerogel would just randomly form itself into billions of little pressure vessels that could stand up to the task? Still, that it has only 2% of the strength it needs is surprising. What is the closest thing to a functional buoyant negative pressure vessel we could build? What material would it be made of and how close to buoyant would it be? A carbon-fiber sphere that’s 10 times to heavy? Is graphene aerogel as close as we can get?