Do you mean charged-particle recombination (which is what I meant) or chemical recombination?GW Johnson wrote:Recombination. Hmmmm. I'm not very clear on your concept, but we hit smack into recombination problems pushing subsonic ramjet to Mach 6-ish. In fact, that is the subsonic combustion ramjet speed limit mechanism.
The nozzle converts thermal energy to kinetic energy at the expense of a pressure drop, but it does not convert recombination energy to kinetic energy. If the chamber temperature gets much over 4500 F (near 2000K) in the airbreather, we got serious recombination penalties. I think in the rocket scenario, this is probably nearer chamber temperatures around 6000F (near 3000 K), but I could be wrong.
With an initial air temperature of 1775 K (2735 F), a pressure of 1250 psi, and a slightly lean fuel/air ratio of 5% by mass, CEA is giving me a free-electron mole fraction of about 1e-9 and an NO+ fraction of about twice that, plus a few negative ions in the 1e-10 range. Chemistry-wise, the mole fractions of hydroxyl, carbon monoxide, and nitric oxide are all around a percent or two, with atomic oxygen and atomic hydrogen looking like they might get interesting soon as well. (If you're interested, the final chamber temperature was 4850 F.)
Chemical nonequilibrium is addressed by my methodology (very roughly) in that I average the Isp values obtained by assuming local equilibrium concentration during expansion with those obtained by assuming chamber composition during expansion (frozen) in a ratio of 2:1 respectively. This is a very crude model, but it roughly matches what I get from trying to simulate real hydrolox rocket engines.
Charged particle recombination is untracked by my method, since CEA doesn't know that the heat was added by a REB and assumes chemical equilibrium in the chamber, which involves virtually no ions even at quite high temperatures...
So, regenerative cooling of wherever the relaxation is taking place?For what you describe, I think you probably need a process to extract usable energy from the EB-heated plasma until it recombines, then put it through the nozzle, and burn with LOX if you like. Use the extracted energy in some way, like preheating the working fluid, so that this energy is not lost.
The timescale is what concerns me. If you have to retain the plasma at maximum temperature and pressure for a significant length of time, the engine could become extremely large and heavy. Perhaps I should look into this in detail some time and see if I can't figure out whether this is buildable or not...
Fortunately, with airbreathing the chemical reaction isn't quite so critical; there's plenty of spare reaction mass...