New approaches to numerical modelling of droplet transient heating and evaporation

Sazhin, S.S., Abdelghaffar, W.A., Krutitskii, P.A., Sazhina, E.M. and Heikal, M.R. (2005) New approaches to numerical modelling of droplet transient heating and evaporation International Journal of Heat and Mass Transfer, 48 (19-20). pp. 4215-4228. ISSN 0017-9310

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Abstract

New approaches to numerical modelling of droplet heating and evaporation by convection and radiation from the surrounding hot gas are suggested. The finite thermal conductivity of droplets and recirculation in them are taken into account. These approaches are based on the incorporation of new analytical solutions of the heat conduction equation inside the droplets (constant or almost constant h) or replacement of the numerical solution of this equation by the numerical solution of the integral equation (arbitrary h). It is shown that the solution based on the assumption of constant convective heat transfer coefficient is the most computer efficient for implementation into numerical codes. This solution is applied to the first time step, using the initial distribution of temperature inside the droplet. The results of the analytical solution over this time step are used as the initial condition for the second time step etc. This approach is applied to the numerical modelling of fuel droplet heating and evaporation in conditions relevant to diesel engines, but without taking into account the effects of droplet break-up. It is shown to be 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 and evaporation allows us to take it into account using a simplified model, which does not consider the variation of radiation absorption inside droplets.

Item Type: Journal article
Uncontrolled Keywords: Droplet heating; Conduction; Radiation; Evaporation; Diesel fuel
Subjects: H000 Engineering > H300 Mechanical Engineering > H330 Automotive Engineering
DOI (a stable link to the resource): 10.1016/j.ijheatmasstransfer.2005.04.007
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
Faculty of Science and Engineering
Depositing User: editor engineering
Date Deposited: 18 Mar 2008
Last Modified: 21 May 2014 11:01
URI: http://eprints.brighton.ac.uk/id/eprint/167

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