/// ASTM D4737 four-variable cetane index formula
ASTM D4737 (recommended, 4-variable):
CI = 45.2 + 0.0892 x (T10N) + [0.131 + 0.901 x B] x (T50N) + [0.0523 - 0.420 x B] x (T90N) + 0.00049 x [(T10N)^2 - (T90N)^2] + 107 x B + 60 x B^2
where:
T10N = T10 - 215 | T50N = T50 - 260 | T90N = T90 - 310
B = exp(-0.0035 x (rho15 - 850)) - 1
T10, T50, T90 = 10%, 50%, 90% distillation temperatures (°C) per ASTM D86
rho15 = density at 15°C (kg/m3) per ASTM D1298 / D4052
ASTM D976 (2-variable, older, less accurate):
CI = 454.74 - 1641.416 x D + 774.74 x D^2 - 0.554 x B + 97.803 x (log B)^2
where D = density at 15°C (g/mL) | B = T50 (°C)
Applicability: ASTM D4737 is valid for:
- Petroleum-derived middle distillates (diesel, kerosene, jet fuel)
- Density range: 800-900 kg/m3
- T10: 150-280°C | T50: 200-320°C | T90: 280-380°C
- NOT valid for: biodiesel (FAME), oxygenated fuels, additized fuels
- Accuracy: ±2 CN units vs measured CN (ASTM D613) for conventional diesel
/// cetane number and engine combustion - engineering guide
| CN Range | Classification | Ignition delay | Applications | Combustion issues |
| < 35 | Very poor | > 5 ms | Industrial boilers only | Severe knock, white smoke, high HC |
| 35-40 | Poor | 3-5 ms | Non-road, older engines | Cold start problems, knock, noise |
| 40-46 | Acceptable | 2-3 ms | Minimum for EN 590 | Marginal cold start, moderate noise |
| 46-51 | Good | 1.5-2 ms | Standard EN 590 diesel | Normal operation |
| 51-55 | Very good | 1-1.5 ms | Premium diesel, EURO 6 vehicles | Excellent cold start, low noise |
| 55-65 | Excellent | < 1 ms | High-performance engines, GTL | Near-ideal combustion |
| > 65 | Premium / Synthetic | < 0.8 ms | GTL, synthetic paraffinic fuel | May need pre-injection management |
/// effect of cetane number on engine performance
| Engine parameter | CN increases from 40 to 55 | Mechanism |
| Cold start ability | Major improvement | Shorter ignition delay reduces crank time needed |
| Combustion noise (diesel knock) | -5 to -8 dB(A) | Less premixed charge at ignition = softer pressure rise |
| HC and CO emissions | -10 to -20% | More complete combustion during ignition delay |
| NOx emissions | -2 to -5% | Lower peak pressure and temperature |
| Fuel consumption | -1 to -2% | Improved combustion phasing |
| Particulate (PM) emissions | -5 to -10% | Better air-fuel mixing during delay period |
| White smoke (cold start) | Eliminated | Complete oxidation of unburned fuel droplets |