For the KNDX propellant, with an oxidizer-fuel (O/F) ratio of 65/35, the theoretical combustion equation is as follows:
C6H12O6 + 3.31 KNO3 -> 2.116 CO2 + 2.300 CO + 4.512 H2O + 1.424 H2 + 1.655 N2 + 1.585 K2CO3 + 0.133 KOH
at a pressure of 68 atmospheres (1000 psi), and where the following compounds are symbolized as:
dextrose (anhydrous) | solid | C6H12O6 |
potassium nitrate | solid | KNO3 |
carbon dioxide | gas | CO2 |
carbon monoxide | gas | CO |
steam | gas | H2O |
hydrogen | gas | H2 |
nitrogen | gas | N2 |
potassium carbonate | liquid | K2CO3 |
potassium hydroxide | gas | KOH |
The mole numbers for each of the products shown above were determined from PROPEP (Propellant Evaluation Program).
Parameter | Units | Note | ||
Process method | Cast | |||
Isp | Specific Impulse, ideal | 152.6 | sec. | [1] |
Isp | Specific Impulse, measured | 130 | sec. | [6] |
C* | Characteristic exhaust velocity, theoretical | 2992 (912) | ft/s (m/s) | |
C* | Characteristic exhaust velocity, measured | 2922 (891) | ft/s (m/s) | [7] |
To | Combustion temperature, theoretical @1000 psia | 1437 (1710) | deg Celsius (K) | [2] |
To | Combustion temperature, measured@1000 psia | TBD | deg Celsius | |
Density, ideal | 1.879 | gram/cu.cm. | ||
Density, as cast | 1.859 | gram/cu.cm. | [3] | |
X | Mass fraction of condensed-phase products | 0.426 | - | |
k | Ratio of specific heats | 1.131 | - | [4] |
M | Effective molecular wt. of exhaust products | 42.42 | g/mole | [5] |
Burn rate behaviour | plateau | |||
ro | Burn rate @ 1 atm. | 0.084 | in/sec | |
r | Burn rate @ 1000 psia | 0.509 | in/sec | |
Tcr | Auto-ignition temperature | > 300 | deg. C. |
[1] At 1000 psi pressure; exit pressure one atmosphere
[2] PROPEP combustion results
[3] Measured, typical
[4] Mixture (2-phase flow), at chamber conditions.
[5] System mass /number of gas moles
[6] Typical
[7] Typical
Figure 2 -- This chart shows the variation of combustion temperature and molecular weight of exhaust products with O/F ratio.
Figure3 -- This chart shows the variation of theoretical specific impulse with chamber pressure.