Modelling of automotive fuel droplet heating and evaporation: mathematical tools and approximations

Sergei Sazhin, Mansour Al Qubeissi

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

Abstract

New mathematical tools and approximations developed for the analysis of automotive fuel droplet heating and evaporation are summarised. The approach to modelling biodiesel fuel droplets is based on the application of the Discrete Component Model (DCM), while the approach to modelling Diesel fuel droplets is based on the application of the recently developed multi-dimensional quasi-discrete model. In both cases, the models are applied in combination with the Eective Thermal Conductivity/Eective Diusivity model and the implementation in the numerical code of the analytical solutions to heat transfer and species diusion equations inside droplets. It is shown that the approximation of biodiesel fuel by a single component leads to under-prediction of droplet evaporation time by up to 13% which can be acceptable as a crude approximation in some applications. The composition of Diesel fuel was simpli ed and reduced to only 98 components. The approximation of 98 components of Diesel fuel with 15 quasi-components/components leads to under-prediction of droplet evaporation time by about 3% which is acceptable in most engineering applications. At the same time, the approximation of Diesel fuel by a single component and 20 alkane components leads to a decrease in the evaporation time by about 19%, compared with the case of approximation of Diesel fuel with 98 components. The approximation of Diesel fuel with a single alkane quasi-component (C14:763H31:526) leads to under-prediction of the evaporation time by about 35% which is not acceptable even for qualitative analysis of the process. In the case when n-dodecane is chosen as the single alkane component, the above-mentioned under-prediction increases to about 44%.
Original languageEnglish
Title of host publicationMURPHYS-HSFS-2014: 7th International Workshop on MUlti-Rate Processes & HYSteresis (MURPHYS) & the 2nd International Workshop on Hysteresis and Slow-Fast Systems (HSFS)
Place of PublicationBerlin
PublisherIOP
Pages1-12
Number of pages12
Volume727
DOIs
Publication statusPublished - 1 Jul 2016
EventMURPHYS-HSFS-2014: 7th International Workshop on MUlti-Rate Processes & HYSteresis (MURPHYS) & the 2nd International Workshop on Hysteresis and Slow-Fast Systems (HSFS) - Berlin, Germany, 7–11 April 2014
Duration: 1 Jul 2016 → …

Publication series

NameJournal of Physics: Conference Series

Conference

ConferenceMURPHYS-HSFS-2014: 7th International Workshop on MUlti-Rate Processes & HYSteresis (MURPHYS) & the 2nd International Workshop on Hysteresis and Slow-Fast Systems (HSFS)
Period1/07/16 → …

Bibliographical note

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    Sazhin, S., & Al Qubeissi, M. (2016). Modelling of automotive fuel droplet heating and evaporation: mathematical tools and approximations. In MURPHYS-HSFS-2014: 7th International Workshop on MUlti-Rate Processes & HYSteresis (MURPHYS) & the 2nd International Workshop on Hysteresis and Slow-Fast Systems (HSFS) (Vol. 727, pp. 1-12). (Journal of Physics: Conference Series). IOP. https://doi.org/10.1088/1742-6596/727/1/012015