Evaporation of sessile drops deformed by gravity is quantified by an analytical-numerical approach. The shape of the drops is defined by minimizing the interfacial and potential drop energies, following a variational integral approach, for a wide range of drop sizes (from 2.7 μ l to 1.4 ml for water drops) and contact angles for both hydrophilic and hydrophobic substrates. The extension of an analytical model for drop evaporation, which accounts for the effect of the Stefan flow and the temperature dependence of thermophysical properties, to the present conditions reduces the problem to the solution of a Laplace equation, which is then numerically calculated using COMSOL Multiphysics®. The vapor fluxes and evaporation rates are then quantified, and the systematic approach to the problem allows the derivation of two correlations, for hydrophilic and hydrophobic substrates, respectively, that can be used to correct the evaporation rate calculated for a drop of the same volume and contact angle in the absence of gravity effects.

(2023). Modeling the evaporation of sessile drops deformed by gravity on hydrophilic and hydrophobic substrates [journal article - articolo]. In PHYSICS OF FLUIDS. Retrieved from https://hdl.handle.net/10446/250049

Modeling the evaporation of sessile drops deformed by gravity on hydrophilic and hydrophobic substrates

Tonini, Simona;Cossali, Gianpietro
2023-01-01

Abstract

Evaporation of sessile drops deformed by gravity is quantified by an analytical-numerical approach. The shape of the drops is defined by minimizing the interfacial and potential drop energies, following a variational integral approach, for a wide range of drop sizes (from 2.7 μ l to 1.4 ml for water drops) and contact angles for both hydrophilic and hydrophobic substrates. The extension of an analytical model for drop evaporation, which accounts for the effect of the Stefan flow and the temperature dependence of thermophysical properties, to the present conditions reduces the problem to the solution of a Laplace equation, which is then numerically calculated using COMSOL Multiphysics®. The vapor fluxes and evaporation rates are then quantified, and the systematic approach to the problem allows the derivation of two correlations, for hydrophilic and hydrophobic substrates, respectively, that can be used to correct the evaporation rate calculated for a drop of the same volume and contact angle in the absence of gravity effects.
articolo
2023
Tonini, Simona; Cossali, Gianpietro
(2023). Modeling the evaporation of sessile drops deformed by gravity on hydrophilic and hydrophobic substrates [journal article - articolo]. In PHYSICS OF FLUIDS. Retrieved from https://hdl.handle.net/10446/250049
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Descrizione: This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. This article appeared in S. Tonini, G. E. Cossali; Modeling the evaporation of sessile drops deformed by gravity on hydrophilic and hydrophobic substrates. Physics of Fluids 1 March 2023; 35 (3): 032113. https://doi.org/10.1063/5.0143575 and may be found at https://doi.org/10.1063/5.0143575
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10446/250049
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