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

Sergei Sazhin, I.N. Shishkova, A.E. Elwardany, I.G. Gusev, Morgan Heikal

Research output: Chapter in Book/Conference proceeding with ISSN or ISBNConference contribution with ISSN or ISBN

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.
Original languageEnglish
Title of host publication5th International Workshop on Multi-Rate Processes and Hysteresis (MURPHYS 2010)
Publication statusPublished - 2011
Event5th International Workshop on Multi-Rate Processes and Hysteresis (MURPHYS 2010) - Pecs, Hungary
Duration: 1 Jan 2011 → …

Workshop

Workshop5th International Workshop on Multi-Rate Processes and Hysteresis (MURPHYS 2010)
Period1/01/11 → …

Bibliographical note

Journal of Physics: Conference Series; Volume 268, Number 1
doi: 10.1088/1742-6596/268/1/012026

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