A multizone thermodynamic method has been developed to determine combustion rate and NO formation from measured cylinder pressures and performance of two-stroke diesel engines. Integral to the analytical method is a nonlinear fit to the combustion chamber heat loss; the fit is consistent with the overall energy balance and with measured fuel consumption rate and exhaust temperature. The method assumes equilibrium combustion properties except for NO, whose relatively slow formation is estimated using the extended Zeldovich mechanism in the post-flame gas during a period of one mixing time. Application of the method to a 2-stroke diesel engine indicates a post-flame mixing time of 0.55 ms or 4 deg crank angle at 1250 rpm, yielding exhaust concentrations of NO considerably less than what would have been expected from equilibrium-then-sudden-freezing considerations.

1.
Ahmad, T., and Plee, S. L., 1983, “Application of Flame Temperature Correlations to Emissions from a Direct-Injection Diesel Engine,” SAE Technical Paper 831734.
2.
Annand, W. J. D., 1963, “Heat Transfer in the Cylinder of Reciprocating Internal Combustion Engines,” Proc. Instn. Mech. Engrs., Vol. 177 No. 36.
3.
Bedran, E. C., and Beretta, G. P., 1985, “General Thermodynamic Analysis for Engine Combustion Modeling,” SAE Technical Paper 850205.
4.
Dent, J. C., and Sulaiman, S. J., 1977, “Convective and Radiative Heat Transfer in a High Swirl Direct Injection Diesel Engine,” SAE Technical Paper 770407.
5.
Gatowski, J. A., Balles, E. N., Chun, K. M., Nelson, F. E., Ekchian, J. A., and Heywood, J. B., 1984, “Heat Release Analysis of Engine Pressure Data,” SAE Technical Paper 841359.
6.
Heywood, J. B., 1988, Internal Combustion Engine Fundamentals, McGraw-Hill, New York, NY.
7.
Krieger, R. B., and Borman, G. L., 1966, “The Computation of Apparent Heat Release for Internal Combustion Engines,” ASME Paper No. 66-WA/DGP-4, Nov.
8.
Liu, X. J., Siegla, D., and Kittelson, D. B., 1984, “In-Cylinder NOx Histories in an Indirect Injection Diesel Engine: Comparison Between Experimental Data and Model Predictions,” Twentieth Symposium (International on Combustion/The Combustion Institute, pp. 45–52.
9.
Peters
N.
,
1978
, “
An Asymptotic Analysis of Nitric Oxide Formation in Turbulent Diffusion Flames
,”
Combustion Science and Technology
Vol.
19
, pp.
39
49
.
10.
Plee, Steven L. and Ahmad, Tanvir, 1983, “Relative Roles of Premixed and Diffusion Burning in Diesel Combustion,” SAE Paper No. 831733.
11.
Plee, Steven, L., Ahmad, T., Myers, J. P., and Faeth, G. M., “Diesel NOx Emissions—A Simple Correlation Technique for Intake Air Effects,” Nineteenth Symposium (International) on Combustion/The Combustion Institute, 1982, pp. 1495–1502.
12.
Press, W. H., Flannery, B. P., Teukolsky, S. A., and Vetterling, W. T., 1986, “Numerical Recipes,” Cambridge University Press, Cambridge, U.K.
13.
Rassweiler
G. M.
, and
Withrow
L.
,
1938
, “
Motion Pictures of Engine Flames Correlated with Pressure Cards
,”
SAE Trans.
Vol.
83
, pp.
185
204
; and 1983, SAE Paper 800131.
14.
Reynolds, W. C., 1987, “STANJAN Chemical Equilibrium Solver v 3.93 IBMPC,” Mech. Eng. Dept., Stanford University, CA.
15.
Szekely, G. A., Jr., and Alkidas, A. C., 1986, “A Two-Stage Heat-Release Model for Diesel Engines,” SAE Paper 861272.
16.
Tao, Y., Hodgins, K. B., and Hill, P. G., 1995, “NOx Emissions From a Diesel Engine Fueled With Natural Gas,” ASME JOURNAL OF ENERGY RESOURCES TECHNOLOGY, Vol. 117, Dec.
17.
Van Wylen, G. J., and Sonntag, R. E., 1985, Fundamentals of Classical Thermodynamics, 3rd Edition, John Wiley & Sons, New York, NY.
18.
Voilescu, I. A., and Borman, G. L., 1978, “An Experimental Study of Diesel Engine Cylinder-Averages NOx Histories,” SAE Paper No. 780228.
19.
Woschni, G., 1967, “A University Applicable Equation for the Instantaneous Heat Transfer Coefficient in the Internal Combustion Engine,” SAE Technical Paper 670931.
20.
Wu, Ko-Jen., and Peterson, Richard C., 1986, “Correlation of Nitric Oxide Emission from a Diesel Engine with Measured Temperature and Burning Rate,” SAE Paper No. 861566.
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