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JOURNALS // Matematicheskoe modelirovanie // Archive

Mat. Model., 2025 Volume 37, Number 4, Pages 121–136 (Mi mm4627)

Model of evaporation and crystallization of a drop of aqueous salt solution

Yu. L. Kuznetsova

Institute of Continuous Media Mechanics UB RAS, Perm

Abstract: A new mathematical model of evaporation and crystallization of a drop of salt solution is proposed. Due to the consideration of the non-uniformity of the solution concentration inside the drop, the model allows one to describe the process of intensive evaporation, accompanied by the formation of a crystalline crust on its surface. The use of a given form of the concentration profile makes the model quite simple and, as a result, attractive for implementation in numerical calculations of aerosol dynamics. A comparison of the model predictions with experimental data on the intensive evaporation of a droplet of sodium chloride solution was carried out, which showed good qualitative and quantitative correspondence between the measured and calculated characteristics.

Keywords: drop of salt solution, intense evaporation, crystalline crust, mathematical model.

Received: 09.10.2024
Revised: 03.02.2025
Accepted: 17.03.2025

DOI: 10.20948/mm-2025-04-08



© Steklov Math. Inst. of RAS, 2026