The objective of this investigation was to characterize the high-pressure vaporization processes of engine fuels, which are too complex in composition to be described with conventional methods. To do so a comprehensive model was developed for the transient vaporization process of droplets of practical engine fuels using continuous thermodynamics in which high-pressure effects are fully considered. Transport equations are derived in a spherical coordinate system for the semi-continuous systems of both gas and liquid phases. A general treatment of vapor-liquid equilibrium is presented, which can be applied with any type of cubic equation of state. Relations for the properties of the continuous species are formulated. The model is further applied to calculate the transient high-pressure vaporization processes of droplets of representative engine fuels—diesel and gasoline. The high-pressure vaporization processes of droplets of two single-component fuels are also predicted for comparison. The results clarify the characteristics of the vaporization processes of engine fuel droplets and indicate the significant effects of fuel type on the vaporization behavior. The comparison with the results of the single-component cases also emphasizes the importance of considering the influence of multicomponent fuels in practical applications.

Issue Section:
Internal Combustion Engines
Keywords:
high-pressure effects, drops, vaporisation, fuel, internal combustion engines, thermodynamics
Topics:
Diesel, Drops, Engines, Fuels, High pressure (Physics), Pressure, Gasoline, Vapor-liquid equilibrium, Temperature
1.
Givler
,
S. D.
, and
Abraham
,
J.
,
1996
, “
Supercritical Droplet Vaporization and Combustion Studies
,”
Prog. Energy Combust. Sci.
,
22
, pp.
1
–
28
.
2.
Stengele, J., Bauer, H. J., and Wittig, S., 1996, “Numerical Study of Bicomponent Droplet Vaporization in a High-Pressure Environment,” ASME Paper No. 96-GT-442.
3.
Curtis, E. W., Uludogan, A., and Reitz, R. D., 1995, “A New High Pressure Droplet Vaporization Model for Diesel Engine Modeling,” SAE Paper No. 952431.
4.
Aggarwal, S. K., Shu, Z., Mongia, H., and Hura, H. S., 1998, “Multi-component and Single-Component Fuel Droplet Evaporation Under High-Pressure Conditions,” AIAA Paper No. 98-3833.
5.
Zhu, G.-S., and Aggarwal, S. K., 1999, “Fuel Droplet Vaporization in a Supercritical Environment,” ASME Paper No. 99-GT-301.
6.
Zhu
,
G.-S.
, and
Aggarwal
,
S. K.
,
2000
, “
Droplet Supercritical Vaporization With Emphasis on Equation of State
,”
Int. J. Heat Mass Transf.
,
43
, pp.
1157
–
1171
.
7.
Abraham, J., and Givler, S. D., 1999, “Conditions in Which Vaporizing Fuel Drops Reach the Critical State in a Diesel Engine,” SAE Paper No. 1999-01-0511.
8.
Lazar, R. S., and Faeth, G. M., 1971, “Bipropellant Droplet Combustion in the Vicinity of the Critical Point,” Proceedings 13th Symposium on Combustion, Combustion Institute, Pittsburgh, PA, pp. 801–811.
9.
Hsieh
,
K. C.
,
Shuen
,
J. S.
, and
Yang
,
V.
,
1991
, “
Droplet Vaporization in High-Pressure Environments I: Near Critical Conditions
,”
Combust. Sci. Technol.
,
76
, pp.
111
–
132
.
10.
Kuo, K. K., 1986, Principles of Combustion, John Wiley and Sons, New York.
11.
Turns, S. R., 1996, An Introduction to Combustion, McGraw-Hill, New York.
12.
Robert, E. C., John, E. D., Robert, M. G., and Dan, T. D., 1998, “The Influence of Fuel Volatility on the Liquid-Phase Fuel Penetration in a Heavy-Duty DI Diesel Engine,” SAE Paper No. 980510.
13.
Shayler, P. J., Colechin, M. J., and Scarisbrick, 1996, A., “Fuel Film Evaporation and Heat Transfer in the Intake Port of an SI Engine,” SAE Paper No. 961120.
14.
Tamim
,
J.
, and
Hallett
,
W. L. H.
,
1995
, “
Continuous Thermodynamics Model for Multi-Component Vaporization
,”
Chem. Eng. Sci.
,
50
(
18
), pp.
2933
–
2942
.
15.
Lippert, A. M., and Reitz, R. D., 1997, “Modeling of Multi-Component Fuels Using Continuous Distributions With Application to Droplet Evaporation and Sprays,” pp. 131–145, SAE Paper No. 972882.
16.
Lippert, A. M., 1999, “Modeling of Multi-Component Fuels With Applications to Sprays and Simulation of Diesel Engine Cold Start,” Ph. D. dissertation, University of Wisconsin, Madison, WI.
17.
Gal-Or
,
B.
,
Cullinan
, JR.,
H. T.
, and
Galli
,
R.
,
1975
, “
New Thermodynamic-Transport Theory for Systems With Continuous Component Density Distributions
,
Chem. Eng. Sci.
,
30
, pp.
1085
–
1092
.
18.
Zhu, G.-S., and Reitz, R. D., 2001, “A Model for High-Pressure Vaporization of Droplets of Complex Liquid Mixtures Using Continuous Thermodynamics,” Int. J. Heat Mass Transf., to be published.
19.
Chou
,
G. F.
, and
Prausnitz
,
J. M.
,
1986
, “
Adiabatic Flash Calculations for Continuous or Semi-Continuous Mixtures Using an Equation of State
,
Fluid Phase Equilibria
,
30
, pp.
75
–
82
.
20.
Reid, R. C., Prausnitz, J. M., and Poling, B. E., 1987, The Properties of Gases and Liquids, McGraw-Hill, New York.
21.
Gradinger
,
T. B.
, and
Boulouchos
,
K.
,
1998
, “
A Zero-Dimensional Model for Spray Droplet Vaporization at High Pressures and Temperatures
,”
Int. J. Heat Mass Transf.
,
41
, pp.
2947
–
2959
.
22.
Chung
,
T. H.
,
Ajlan
,
M.
,
Lee
,
L. L.
, and
Starling
,
K. E.
,
1988
, “
Generalized Multi-parameter Correlation for Nonpolar and Polar Fluid Transport Properties
,”
Ind. Eng. Chem. Res.
,
27
, pp.
671
–
679
.
23.
Byung
,
I. L.
, and
Michael
,
G. K.
,
1975
, “
A Generalized Thermodynamic Correlation Based on Three-Parameter Corresponding States
,”
J. AIChE
,
21
, pp.
510
–
527
.
24.
Knapp, H., Doring, R., Oellrich, L., Plocker, U., and Prausnitz, J. M., 1982, “Vapor-Liquid Equilibria for Mixture of Low Boiling Substances,” Chemical Engineering Data, Series, VI, DECHEMA, Frankfurt.
25.
Siebers, D. L., 1999, “Scaling Liquid-Phase Fuel Penetration in Diesel Sprays Based on Mixing Limited Vaporization,” SAE Paper No. 1999-01-0528.
26.
Higgins, B. S., Mueller, C. J., and Siebers, D. L., 1999, “Measurements of Fuel Effects on Liquid-Phase Penetration in DI Sprays,” SAE Paper No. 1999-01-0519.
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