Numerical modelling of droplet transient heating and evaporation

Sazhin, S, Abdelghaffar, W.A., Krutitskii, P.A., Sazhina, E.M. and Heikal, M.R. (2004) Numerical modelling of droplet transient heating and evaporation In: 5th Minsk International Heat and Mass Transfer Forum, May 24-28, Minsk, Belarus. Section 6: Heat and mass transfer in disperse and rheological systems. National Academy of Sciences of Belarus, Minsk, pp. 189-190.

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Official URL: http://www.itmo.by/forum/mif5/S06/6-43.pdf

Abstract

Several approaches to numerical modelling of liquid droplet heating and evaporation by convection and radiation from the surrounding hot gas are discussed. The finite thermal conductivity of liquid, recirculation in droplets, and time dependence of gas temperature and the convection heat transfer coefficient are taken into account. For the constant and almost constant convection heat transfer coefficient the new analytical solutions of the heat conduction equation inside droplets are incorporated into the numerical code. For the abitrary convection heat transfer coefficient the numerical solution of the latter equation is replaced by the numerical solution of the Volterra integral equation of the second kind. Direct comparison between these approaches shows that the solution based on the assumption of constant convective heat transfer coefficient is the most computer efficient for implementation into numerical codes. The results of the application of this approach to the numerical modelling of fuel droplet heating and evaporation in conditions relevant to diesel engines are briefly discussed. This approach is more effective than the approach based on the numerical solution of the discretised heat conduction equation inside the droplet, and more accurate than the solution based on the parabolic temperature profile model. The relatively small contribution of thermal radiation to droplet heating allows us to take it into account using a simplified model, which does not consider the variation of radiation absorption inside droplets.

Item Type:Chapter in book
Additional Information:Paper is freely available via the above url
Uncontrolled Keywords:Numerical modelling, heating, evaporation, droplets, diesel fuel
Subjects:H000 Engineering > H300 Mechanical Engineering > H330 Automotive Engineering
Faculties:Faculty of Science and Engineering > School of Computing, Engineering and Mathematics > Engineering and Product Design Research
Faculty of Science and Engineering > School of Computing, Engineering and Mathematics > Engineering and Product Design Research > Automotive Engineering
ID Code:1310
Deposited By:editor engineering
Deposited On:02 Jul 2007
Last Modified:05 Apr 2012 02:17

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