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A Mathematical Model for the Mass Transfer and Combustible Mixture Formation Around Fuel Droplets
ISSN: 0148-7191, e-ISSN: 2688-3627
Published February 01, 1971 by SAE International in United States
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The vapor diffusion and the combustible mixture formation around evaporating fuel droplets are studied. The formulas derived for the droplet temperature and vapor concentration profiles take into consideration the unsteady period before the droplet reaches its equilibrium temperature. In this model the droplet is assumed to be suddenly brought into contact with a high temperature oxidizing atmosphere.
The ignition delay is considered equal to the period of time from the start of heating up to the time of formation of a stoichiometric mixture at the ignition location around the droplet.
Computations are made for the temperature history, concentration history, and the ignition delay for iso-octane droplets evaporating in air. The droplet sizes considered are between 1120 and 1520 μ. The air pressure is 14.7 psia, and the air temperatures are 1095-1390 F. The comparison between the results of the present model and previous experimental results showed favorable agreement.
CitationHenein, N., "A Mathematical Model for the Mass Transfer and Combustible Mixture Formation Around Fuel Droplets," SAE Technical Paper 710221, 1971, https://doi.org/10.4271/710221.
- Bird R. B., Stewart W. E., and Lightfoot E. N., “Transport Phenomena.” N. Y.: J. Wiley and Sons, Inc. (1960), p. 505.
- El-Wakil M. M., Myers P. S., and Uyehara O. A., “Fuel Vaporization and Ignition Lag in Diesel Combustion.” SAE Transactions, Vol. 64 (1956).
- El-Wakil M. M., and Abdou M. I., “The Self-Ignition of Fuel Drops in Heated Air Streams.” Paper 598B presented at SAE Fuels and Lubricants, Powerplant, and Transportation Meeting, Philadelphia, October 1962.
- Faeth G. M., “The Kinetics of Droplet Ignition in a Quiescent Air Environment.” Doctoral Thesis, The Pennsylvania State University, 1964.
- Fuchs N. A., “Evaporation and Droplet Growth in Gaseous Media.” London: Pergamon Press (1959), p.60.
- Godsave E. A. E., “Studies of the Combustion of Drops in a Fuel Spray, The Burning of Single Drops of Fuel.” Fourth Symposium (International) on Combustion, Baltimore: The Williams and Wilkins Co. (1953), pp. 818-830.
- Hall A. R. and Diederichsen J., “An Experimental Study of Burning of Single Drops of Fuel in Air at Pressures up to Twenty Atmospheres.” Fourth Symposium (International) on Combustion, Baltimore: The Williams and Wilkins Co. (1952), pp. 837-846.
- Kobayasi K., “An Experimental Study on the Combustion of a Fuel Droplet.” Fifth Symposium (International) on Combustion, N. Y.: Reinhold Publishing Co. (1955), pp. 141-148.
- Kumagi S. and Isoda H., “Combustion of Fuel Droplets in a Falling Chamber.” Sixth Symposium (International) on Combustion, N. Y.: Reinhold Publishing Co. (1956), pp. 726-731.
- Maxwell J. B., “Data Book on Hydrocarbons.” N.Y.: Van Nostrand, 1950.
- Nishiwaki N., “Kinetics of Liquid Combustion Processes: Evaporation and Ignition Lag of Fuel Droplets.” Fifth Symposium on Combustion, N. Y.: Reinhold Publishing Co. (1955), pp. 148-158.
- Phillips 66 Reference Data for Hydrocarbons and Petrol-Sulfur Compounds, (1962), Bulletin No. 521, Phillips Petroleum Co.
- Ranz W. E. and Marshall W. R., “Evaporation from Drops.” Chemical Engineering Progress, Vol. 48, No. 3 (1952), pp. 141-148.
- Williams F. A., “Combustion Theory.” Reading, Mass.: Addison-Wesley Publishing Co., Inc. (1965), pp. 47-57.