This is another attempt at making closed expander cycle a bit more efficient (the first attempt was here). The design combines some elements of both the open and the closed expander cycles (hence the "hybrid") and is briefly described below.
The way I see it, the main potential issue with this design is the heat exchanger. Specifically, I have the following questions:
- How big a heat exchanger would be needed to cool methane mass flow of 15 kg/s from 400K to 110K? The volume of methane is not too great (15kg at 15 bar is slightly over 2 m^3) - so, it seems like the heat exchanger shouldn't be too big - but would appreciate validation or invalidation of this.
- What could be a reasonable pressure drop across such a heat exchanger? I've assumed 10 - 15 bar, but not sure if that's too much or too little.
And of course, if there are other issues with this design that I'm not noticing, would appreciate feedback.
Brief description and diagram
The cycle works similarly to the open expander cycle - but instead of discarding turbine exhaust, the exhaust is cooled and pumped back into the engine.
There is a single turbine which drives both the fuel (methane) and the oxidizer pumps. After the fuel goes through its pump, it is split into 2 streams:
- The first stream is about 20% of the flow. While cooling chamber/nozzle, it is heated up to about 600K and is used to drive the turbine. As it exits the turbine, it goes through a heat exchanger which reduces its temperature from 400K to 110K effectively liquefying the methane. After this, the flow is merged with the flow of methane from the tank, and flows back into the engine.
- The second stream is the remaining 80% of the fuel. It is also used for cooling the chamber and the nozzle, and is gasified in the process. After this, it is injected into the combustion chamber.
The coolant for the heat exchanger is the subcooled oxygen. As it cools the methane, its temperature rises from 60K to about 120K (though, because of the high pressure, the oxygen remains liquid). It is important to note that even though exit temperature of oxygen is higher than exit temperature of methane, they flow in the opposite directions. So, at all points in the heat exchanger, methane is hotter than oxygen, and thus, heat flows from oxygen to methane. After the oxygen goes through the heat exchanger, it is injected into the combustion chamber.
All the numbers above (and in the diagram below) are directional. I got them doing back-of-the-envelope calculations. I calculated that about 20% of methane flow should be enough to get pressure around 100 bar for the combustion chamber. This 20% should be about 15 kg/s for a Merlin class engine.