Heating and evaporation of a two-component droplet: hydrodynamic and kinetic models

S. S. Sazhin, I. N. Shishkova, Mansour Al Qubeissi

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Abstract

A previously developed kinetic model for two-component vapour and background gas (air) is applied to the analysis of droplet heating and evaporation in Diesel engine-like conditions. The model used in the analysis is based on the introduction of the kinetic region in the immediate vicinity of the droplets and the hydrodynamic region. The presence of two components in the vapour, finite thermal conductivity and finite species diffusivity in droplets are taken into account. It is pointed out that for parameters which are typical of Diesel engine-like conditions, the heat flux in the kinetic region is a linear function of the temperature at the outer boundary of this region, but is almost independent of the density of the components at this boundary. Mass fluxes of both components in the kinetic region are shown to decrease almost linearly with increasing vapour density at the outer boundary of this region, but are almost independent of the temperature drop in the kinetic region. The model is tested for the analysis of heating and evaporation of a droplet with initial radius and temperature equal to 5 μm and 300 K, respectively, immersed into gas with temperatures 1000 K and 700 K for several mixtures of n-dodecane and p-dipropylbenzene. It is pointed out that an increase in the mass fraction of p-dipropylbenzene and kinetic effects lead to an increase in the predicted droplet evaporation time. The kinetic effects are shown to increase with increasing gas temperature and molar fraction of p-dipropylbenzene.
Original languageEnglish
Pages (from-to)704-712
JournalInternational Journal of Heat and Mass Transfer
Volume79
DOIs
Publication statusPublished - Dec 2014

Bibliographical note

NOTICE: this is the author’s version of a work that was accepted for publication in International Communications in Heat and Mass Transfer. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in International Communications in Heat and Mass Transfer, [79, December 2014)] DOI: 10.1016/j.ijheatmasstransfer.2014.08.026. © 2014, Elsevier. Licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/

Keywords

  • Boltzmann equation
  • Diesel fuel droplet
  • n-Dodecane
  • p-Dipropylbenzene
  • Heat/mass transfer
  • Mixture

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