Acetylene-Hydrogen Rockets from Titan to Earth – Performance

Previously we looked at the Acetylene-Hydrogen rocket, but didn’t examine the performance in great detail. Glassman’s patent assumed a combustion chamber pressure of 20 atmospheres, exhausting to ambient of 1 atmosphere. The 1:8 ratio had a combustion temperature of just 1140 K and average molecular mass of 6.00 in the exhaust, reaching 275 seconds Isp. Using these figures we can compute a Titan surface performance of 261.5 seconds (1.448 atm pressure) and a vacuum performance (with a vacuum optimised engine bell) of 4,140 m/s. That’s an impressive figure for in-space maneuvers, beating the ~3,800 m/s that SpaceX’s hoping for its Raptor engines.

TABLE I    
Physical Properties
LIQUID ACETYLENE AND LIQUID HYDROGEN
Acetylene (B.P. -84? C.) :
dHf? (25? C.) (gas) 54.19 kcal/mole
dHvap (-84? C., atm.) 1.52 kcal/mole
dHf? (25? C.) (liq.) 52.67 kcal/mole
dHe (25? C.) (net) (liq.) 47,900 kJ/kg
Hydrogen (B.P. -252.8? C.):
dHf? (25? C.) (gas) 0 kcal/mole
dHvap (-252.8? C., 1 atm.) 0.216 kcal/mole
Cp (liq.) = 2.5 cal./gm. K. 2.5 cal./gm. K.
dH c = -2.5 (298.1-20.3) 1.388 kcal/mole
dHf (-253? C.) (liq.) -1.6 kcal/mole
dHe (25? C.) (net) 115,400 kJ/kg
TABLE II              
Reactants T (K) Mol. Mass (g) Isp (sec)
Products in Moles
C H2 CH4 dHo, MJ/kg
C2H2+1.0 H2 2,150 14 260 2 2 0 52.68
C2H2+1.5 H2 1,900 11.6 261 2 2.5 0 54.89
C2H2+2.0 H2 1,750 10 267 2 3 0 56.99
C2H2+3.0 H2 1,500 8.4 268 1.8 3.6 0.2 60.71
C2H2+4.0 H2 1,350 7.47 270 1.55 4.1 0.45 62.80
C2H2+5.0 H2 1,275 6.85 271 0.26 4.52 0.74 66.76
C2H2+6.0 H2 1,225 6.53 273 0.83 4.66 1.17 69.31
C2H2+7.0 H2 1,175 6 278 0.68 5.36 1.32 71.64
C2H2+8.0 H2 1,140 6 275 0 5 2 73.50
C2H2+9.0 H2 1,050 5.5 272 0 6 2 75.36
TABLE III              
Reactants T (K) Mol. Mass Isp (sec) Products in Moles
C H2 CH4 dHo, MJ/kg
Isopropenyl-Acetylene 1,380 22 166 483 2.66 0.17 43.8
Methyl-Acetylene 1,680 20 191 300 2 0 45.8
C2H2----- 3,100 25.5 236 2 0.98 0.04 47.9
1-Hexyne 1,090 21.2 48 4.76 2.52 24 43.2
Isobutenyl-Acetylene 1,250 23.2 147 5.44 2.88 0.56 44.2
1-Butyne 1,330 14.9 171 3.72 2.44 0.28 45.1
1,7-Octadiyne 1,450 21.2 174 8 5 0 43.5
16-Heptadiyne 1,670 22.5 179 7 4 0 43.1
1,5-Hexadiyne 2,060 26 190 6 3 0 44.2
C2H2+8.0 H2 1,140 6 275 0 5 2 73.5
C2H2+O2--------- 3,590 266 0.0
1,5-Hexadiyne+17H2 1,100 7.46 242 1 10 5 65.8