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In his IAC 2016 talk, Elon Musk said (at 28m 4s in the video) that the ITS booster tanks would use autogenous pressurization. This means there is gaseous oxygen resp. methane in the tank. To stay gaseous, its temperature must be above the boiling point.

On the other hand, the liquids are sub-cooled, i.e. their temperatures are far below the boiling point.

So we have "warm" gas and "cold" liquid in the same tank. How does this work out? Wouldn't the gas quickly condense, causing the pressure to drop? And respectively, wouldn't the liquid heat up and eventually boil?

I could imagine that it works for the booster, as the tanks are emptied so quickly that there won't be time to reach equilibrium anyway. But what about the spaceship? Is it also using autogenous pressurization? The diagram shows smaller tanks embedded in the spaceship tanks, could this be a helium pressurization system like in the Falcon 9?

schema of ITS cut open to show the inside of the tanks

Note: This web-based tool by NIST may be useful to determine and visualize thermophysical properties of fluids used in rockets.

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  • $\begingroup$ On the shuttle they tapped some propellants off below the turbopumps, ran them through heat exchangers to warm them up a bit, and piped them up to the top of the prop tanks. I expect that something like that is planned for this. There is heat transfer between the warm gas and cold fluid but IIRC it does not affect the prop quality until the tank gets pretty empty. $\endgroup$ – Organic Marble Oct 2 '16 at 4:09
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    $\begingroup$ The shuttle fuel was not sub-cooled, their temperatures were at the boiling point of the liquids, so the gaseous form was actually at equilibrium with the liquid, even if it had essentially the same temperature (the heat exchangers were needed to evaporate the liquids, not to warm them up). With sub-cooling, you can't have equilibrium. Imagine blowing steam at 100 °C into a tank with 10 °C cold water to pressurize it. The steam would quickly condense (warming the water up a tiny bit), and the pressure would collapse. $\endgroup$ – oefe Oct 2 '16 at 9:55
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Once the tanks are no longer full, there's no point in keeping the propellants subcooled. When you start the engines, you just have to control the rate at which the tank and propellant warm up, to keep the pressure below its limit.

The warm gas you inject into the headspace to pressurize the tank will start warming up the surface of the liquid. You'll have to stay ahead of the cooling down and condensation of this gas.

So there's a balancing act between two limits.

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  • $\begingroup$ Ya that's what I thought too. But then (there's this](space.stackexchange.com/q/18486/12102) to figure out. By the way, the gas "will start warming up the surface of the liquid" by condensing on to it thereby lowering the pressure and requiring more feed. Possibly the walls of the tank as well. The condensation can be really fast - see various "can crush" videos using condensing steam! $\endgroup$ – uhoh Oct 5 '16 at 1:16
  • $\begingroup$ Do those can crush videos use a continuous supply of steam? Or do they just inject steam once and then seal the container. $\endgroup$ – Hobbes Oct 5 '16 at 8:58
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    $\begingroup$ I'm just saying the condensation can be fast. Maybe the heaters are really fast also, but it sounds pretty difficult to generate enough vapor to compete continuously with 10 or 100 square meters of condensing surface. It's essentially one giant cryopump, but without the porous getterer. $\endgroup$ – uhoh Oct 5 '16 at 9:45
  • $\begingroup$ @uhoh There's a really big heater underneath the tank - the engine(s) - which needs cooling. There's a synergy between the need to remove damaging heat from the engine with a need to provide heated propellant vapor in the tank for pressurization. $\endgroup$ – Anthony X Feb 11 '18 at 18:02
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There is nothing wrong with a substance existing in both a liquid form and a gas form at the same time, like in this case. In fact, that is where the equilibrium is!

Firstly, there is not really such a thing as a liquid in a vacuum, it will always attempt to fill it*, as the boiling point gets lower with the decreased pressure.

Le Chatelier's principle is the law preventing the process from going towards any extreme, either all gas or all liquid:

  • If the liquid starts to boil, the pressure increases, rising the boiling point, and the phase transitions consumes heat, lowering the temperature
  • If the gas starts to condense, the pressure decreases, lowering the boiling point, and the process is exothermic, releasing heat so the temperature rises.

Any attempt by the system to go towards either extreme is resisted.

"sub-cooled" as the term is used in this setting, means that the temperature of the liquid is below the equilibrium point (the boiling point), but a transition is not going to go fast. The only way to get the liquid to leave the sub-cooled state more quickly would be to supply heat externally, as the process is endothermic. Also, the system is self-balancing: If you remove fuel from the tank and lower the pressure, some of the liquid boils until an equilibrium is reached again. Then it stops boiling. lastly, fuel tanks are well insulated, and once surrounded by vacuum, the heat-flow is extremely slow. Like any other cryogenic system, it requires a little refrigeration to be kept liquid in the long term.

*There are factors that can keep the liquid from boiling to fill the vacuum, like surface tension and some intermolecular forces, but those factors can generally be ignored.

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    $\begingroup$ With the liquid at temperatures far below the boiling point, and the gas above, the system is not at equilibrium. $\endgroup$ – oefe Oct 3 '16 at 19:41
  • $\begingroup$ @oefe No, but it is changing very slowly. $\endgroup$ – Hohmannfan Oct 3 '16 at 19:43
  • $\begingroup$ That might be an explanation for the booster, which after all operates only for a couple of minutes; but the spaceship travels for months with partially filled tanks, so it will reach equilibrium. $\endgroup$ – oefe Oct 3 '16 at 20:10
  • $\begingroup$ On reddit people are speculating that fuel for the landing is stored separately in the spherical tanks within the spaceship tanks. So they could stay sub-cooled while the outer tanks are empty. $\endgroup$ – oefe Oct 3 '16 at 20:12
  • $\begingroup$ Elon Musk confirmed that the spherical tanks are for the landing fuels: reddit.com/r/spacex/comments/590wi9/… $\endgroup$ – oefe Oct 24 '16 at 21:23
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Here is my current understanding of the situation.

Reading this question and this and this answer, it seems that autogenous pressurization of propellants is not used on sub-cooled propellants but instead happens when the temperature of the propellants (and tank internal surface) is at the boiling point. Adding additional heat will build pressure, or maintain pressure while propellants are leaving the tank.

The main advantage of sub-cooling is to increase the density so that a tank which is completely full can hold a larger mass of propellant. Once a propellant begins to be depleted (used) and say 10% or 20% has been used, there is no further major advantage for it to be at a temperature below boing point, except perhaps a bit of thermal inertial if heating in space is not sufficiently insulated. However, until that point, an inert gas should be used for pressurization.

edit: as @oefe pointed out in a comment below, in the recent video Making Humans a Multiplanetary Species starting at about 32:38, Elon Musk discusses advantages of maintaining sub-cooled temperatures for liquid propellants including reduction in cavitation within the turbo pumps. This is discussed further in this question

I don't think a propellant can easily be both sub-cooled and self-pressurized "autogenously" simultaneously, which I think is the key point of asking your question.

Heat could be added to the closed system within the tank or by passing a small amount of propellant through a heater and re-introducing it. I think in general "autogenous pressurization" refers to such a system, which may or may not meet the thermodynamic definition of a "closed system".

(some plots of published data on LOX and RP-1 density vs temperature can be found here)

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    $\begingroup$ Maybe that's it, although Musk states at 33:04 that the low pressure reduces the risk of cavitation and makes it easier to feed the turbopumps. I think this would require that the liquids stay sub-cooled for the entire trip. $\endgroup$ – oefe Oct 4 '16 at 19:37
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    $\begingroup$ (Added a link to a web-based tool that I found useful to generate a plots for a all kind of properties of rocket fluids. It's at the end of my question.) $\endgroup$ – oefe Oct 4 '16 at 19:40
  • $\begingroup$ I've asked about the cavitation and other benefits in a follow-up question - thanks for pointing that out! $\endgroup$ – uhoh Oct 5 '16 at 0:24

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