Modelling of droplet heating and evaporation: recent results and unsolved problems

Sazhin, S.S., Shishkova, I.N., Elwardany, A.E., Gusev, I.G. and Heikal, M.R. (2011) Modelling of droplet heating and evaporation: recent results and unsolved problems In: 5th International Workshop on Multi-Rate Processes and Hysteresis (MURPHYS 2010), 31 May - 3 June, 2010, Pecs, Hungary.

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Abstract

The most recent results referring to the hydrodynamic and kinetic modelling of droplet heating and evaporation are briefly summarised. Two new solutions to the heat conduction equation, taking into account the effect of the moving boundary during transient heating of an evaporating droplet, are discussed. The first solution is the explicit analytical solution to this equation, while the second one reduces the solution of the differential transient heat conduction equation to the solution of the Volterra integral equation of the second kind. It has been pointed out that the new approach predicts lower droplet surface temperatures and slower evaporation rates compared with the traditional approach. A simplified model for multi-component droplet heating and evaporation, based on the analytical solution of the species diffusion equation inside droplets, is reviewed. A new algorithm, based on simple approximations of the kinetic results for droplet radii and temperatures, suitable for engineering applications, is discussed.

Item Type: Contribution to conference proceedings in the public domain ( Full Paper)
Additional Information: Journal of Physics: Conference Series; Volume 268, Number 1 doi: 10.1088/1742-6596/268/1/012026
Subjects: G000 Computing and Mathematical Sciences > G100 Mathematics
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 > Automotive Engineering
Depositing User: editor engineering
Date Deposited: 11 Mar 2011 10:38
Last Modified: 11 Mar 2011 10:38
URI: http://eprints.brighton.ac.uk/id/eprint/8342

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