International Scientific Journal


Droplet vaporization is an essential sub-process of fuel spray in diesel engines,which has important effects on combustion and emissions performance. Development of a simplified droplet vaporization model is necessary to simulate gas mixture formation in cylinder for lower computational costs, and it is also applicable in practical multi-dimension spray calculations for diesel engines. An empirical exponential equation is introduced in this paper to approximate the internal temperature profile of droplet instead of solving the partial differential equation for temperature distribution. Results indicate that the computational cost has been reduced by almost thirty percent in total. Also, the concept of effective diffusion is introduced by using an enlarged diffusivity to take account of the effect of internal circulations inside droplets. The calculated result of the simplified evaporation model has been compared with that of the infinite diffusivity model and one-dimensional model respectively. It shows that the calculation precision of the simplified model is among those two models.
PAPER REVISED: 2015-09-18
PAPER ACCEPTED: 2015-09-18
CITATION EXPORT: view in browser or download as text file
  1. George, S., Manolis, G., Andress, T., and George, B., Numerical Investigation of the Evaporation of Two-Component Droplets, Fuel, 90(2011), pp. 1492-1507
  2. Xu, W., Hanhui, Jin., Ke, S., and Jianren, Fan., Numerical Investigation of Droplet Evaporation and Transport in a Turbulent Spray with LES/VSJFDF Model, Chemical Engineering Science,7(2014), pp. 251-260
  3. Sazhin, S.S., Elwardany, A.E., Sazhina, E.M., and Heikal, M.R., A Quasi-Discrete Model for Heating and Evaporation of Complex Multi-Component Hydrocarbon Fuel Droplets, International Journal of Heat and Mass Transfer, 54(2011), pp. 4325-4332
  4. Nakoryakov, Vladimir E., Misyura, Sergey Ya., Elistratov, Sergey L., Non-iso Thermal Desorption of Droplets of Complex Compositions, Thermal Science, vol.16(2012), 4, pp.997-1004
  5. Ebrahimian, V., Gorji-Bandpy, M., Two-Dimensional Modeling of Water Spray Cooling Superheated Steam, Thermal Science, vol.12(2008), 2, pp.79-88
  6. Jafarmadar, Samad., Shafee, Sina., Barzegar, Ramin., Numerical Investigation of the Effect of Injection Mode on Spray/Wall Interaction and Emission Formation in a Direct Injection Diesel Engine at Full Load State, Thermal Science, vol.14(2010),14,pp.1039-1049
  7. Michael, S., Hanchak, A., Lejandro, M., Briones, J., Ervin, S., Larry, W., One-Dimensional Models of Nanoliter Droplet Evaporation from a Hot Surface in the Transition Regime, International Journal of Heat and Mass Transfer, 57(2013), pp. 473-483
  8. Raghuram., Vasudevan, R., Daniel, N. P., George, G., Two-Phase Modeling of Evaporation Characteristics of Blend Methanol-Ethanol Droplets, International Journal of Multiphase Flow, 52(2013), pp. 46-59
  9. Zeng, Y., Lee, C, F., A Model for Multi-Component Spray Vaporization in a High-Pressure and High-Temperature Environment, Journal of Engineering for Gas Turbines and Power,124(2002), pp. 717-724
  10. Megaridis, C. M., and Sirignano, W. A., Numerical Modeling of a Vaporizing Multicomponent Droplet, 23rd Symposium (International) on Combustion, The Combustion Institute, Pittsburgh, PA, 1990,pp. 1413-1421
  11. Abramzon, B., and Sirignano, W. A., Droplet Vaporization Model for Spray Combustion Calculations, International Journal of Heat and Mass Transfer, 32(1989), 9,pp.1605-1618
  12. Law, C. K., Internal Boiling and Superheating in Vaporizing Multicomponents Droplets, AIChE J, 24(1987), pp.626-632
  13. Jin, J. D., and Borman, G. L., A model for multicomponent droplet vaporization at high ambient pressures, SAE Technical Paper, 1985, 850264
  14. Tong, A. Y., and Sirignano, W. A., Multicomponent Transient Droplet Vaporization with Internal Circulation: Integral Equation Formulation And Approximate Solution, Heat Transfer, 10(1986b), pp. 253-278
  15. Tong, A. Y., and Sirignano, W. A., Multicomponent Droplet Vaporization in a High Temperature Gas, Combust. Flame,66(1986), pp. 221-235
  16. Renksizbulut, M., Bussmann, M., and Li, X., A droplet vaporization model for spray calculations, Part. Syst. Charact, 9(1992), pp. 59-65
  17. Miller, R. S., Harstad, K., Bellan, J., Evaluation of Equilibrium and Non-Equilibrium Evaporation Models for Many-Droplet Gas-Liquid Flow Simulations, International Journal of Multiphase Flow, vol.24(1998), 6, pp.1025-1055

© 2021 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence