Analytical solution for temperature of evaporative drops on solid substrate
https://doi.org/10.26583/vestnik.2025.6.2
EDN: CBESTR
Abstract
The evaporation of liquid droplets on solid surfaces attracts the attention because it turns out to be decisive in many applied problems: in biology, pesticide spraying, printing, creating films with given properties, OLED technology, nanofabrication, DNA analysis, etc. The droplet evaporation is complex process, so analytical models can provide insight into process. Free evaporation of sessile liquid non-isothermal drop on solid substrate is analyzed. Exact formulae for temperature and concentration fields are found out as functions of dimensionless parameters. The non-uniform temperature distribution at the drop surface creates the thermocapillar Marangonni forces that change their direction in the vicinity of stagnation points. Direction of the forces and disposition of the stagnation points are derived as function of contact angle and thermodynamic parameters of model. Conditions for the stagnation points to appear are found out. Comparison of calculated and measured temperatures is done. The critical parameters of the ratio of the conductivities of droplet and substrate at which the monotonic temperature distribution changes and the cooling of droplet is possible.
Supporting agencies: The work was supported by the Ministry of Science and Higher Education of the Russian Federation and was carried out on the topic of the state assignment FSWU-2023-0031
About the Authors
S. Z. Dunin
National Research Nuclear University MEPhI
Russian Federation
Russian Federation
O. V. Nagornov
National Research Nuclear University MEPhI
Russian Federation
Russian Federation
V. P. Trifonenkov
National Research Nuclear University MEPhI
Russian Federation
Russian Federation
S. A. Tyuflin
National Research Nuclear University MEPhI
Russian Federation
Russian Federation
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Review
For citations:
Dunin S.Z., Nagornov O.V., Trifonenkov V.P., Tyuflin S.A. Analytical solution for temperature of evaporative drops on solid substrate. Vestnik natsional'nogo issledovatel'skogo yadernogo universiteta "MIFI". 2025;14(6):478-485. (In Russ.) https://doi.org/10.26583/vestnik.2025.6.2. EDN: CBESTR
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