Abstract
The results of experimental studies and modelling of the evaporation of suspended water droplets containing silicon dioxide SiO\(_{2}\) nanoparticles at mass fractions 0.02 and 0.07 are presented. The experimental results are analysed using the previously developed model for multicomponent droplet heating and evaporation. In this model droplets are assumed to be spherical and the analytical solutions to the heat transfer and species diffusion equations are incorporated into the numerical code. They are used at each timestep of the calculations. Silicon dioxide nanoparticles are considered to be a non-evaporating component. It is demonstrated that both experimental and predicted values of droplet diameters to the power 1.5 decrease almost linearly with time, except at the beginning and the final stages of the evaporation process, and are only weakly affected by the presence of nanoparticles. At the final point in this process, the effect of nanoparticles becomes dominant when their mass fraction at the droplet surface reaches about 40 % and a cenosphere-like structure is formed. Both predicted and observed droplet surface temperatures rapidly decrease during the initial stage of droplet evaporation. After about \(t=100\) s the predicted surface temperature remains almost constant whilst its experimentally observed values increase with time. This might be related to a decrease in the temperature of ambient air in the vicinity of droplets, not taken into account in the model. Both observed and predicted values of the mass fraction of silicon dioxide at the droplet surfaces are shown to increase with time until they reach about 0.4.
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Acknowledgements
Work on this paper was supported by the Ministry of Science and Higher Education of the Russian Federation (Grant No. 075-15-2021-575) (experimental studies of droplet evaporation processes by E.M. Starinskaya, N.B. Miskiv, A.D. Nazarov, V.V. Terekhov, and V.I. Terekhov; development of the mathematical model by S.S. Sazhin), the Royal Society (UK) (Grant No. IEC 192007) (development and implementation of the mathematical model by O. Rybdylova), and the UKRI (Grant No. MR/T043326/1) (development and implementation of the mathematical model by O. Rybdylova).
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Starinskaya, E.M., Miskiv, N.B., Nazarov, A.D. et al. Evaporation of Suspended Nanofluid (SiO\(_{2}\)/Water) Droplets: Experimental Results and Modelling. Int J Thermophys 44, 64 (2023). https://doi.org/10.1007/s10765-023-03164-8
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DOI: https://doi.org/10.1007/s10765-023-03164-8