TY - JOUR
T1 - Heating and evaporation of sessile droplets
T2 - simple and advanced models
AU - Antonov, Dmitry
AU - Starinskaya, Elena
AU - Starinskiy, Sergei
AU - Miskiv, Nikolay
AU - Terekhov, Vladimir
AU - Strizhak, Pavel
AU - Sazhin, Sergei
PY - 2024/1/29
Y1 - 2024/1/29
N2 - New advanced and simple two-dimensional (2D) models of sessile droplet heating/cooling and evaporation are suggested. In contrast to the earlier developed one-dimensional (1D) model, based on the assumption that heat supplied from the supporting surface is homogeneously and instantaneously spread throughout the droplet, both new 2D models consider the spatial distribution of this heat. The advanced 2D model is based on the numerical solution to the equations of conservation of mass, momentum, vapour mass fraction and energy with standard boundary and initial conditions, using COMSOL Multiphysics code. Simple 2D and 1D models assume that droplets keep their truncated spherical shapes during the evaporation process. In the 1D model the analytical solution to the 1D heat conduction equation inside the droplet is implemented into a numerical code. In the simple 2D model the 2D version of this equation is solved numerically using COMSOL Multiphysics code. Droplet deformation, temperature gradients along the droplet surface and the Marangoni effect are not considered in this model. The predictions of all three models are validated using in-house experimental data obtained from studies of sessile droplets of distilled water with initial volumes 5.2, 3.2 and 2.2 mkl, and at an ambient temperature of 298.15 K and atmospheric pressure. The observed values of normalised droplet radii squared are shown to be close to those predicted by all three models. This allows us to recommend the application of the simplest 1D model for predicting this parameter. The time dependencies of the droplet average surface temperature predicted by the advanced 2D model are shown to be close to those observed experimentally. The simple 2D and 1D models can correctly predict the initial rapid decrease in droplet average surface temperature followed by its gradual increase in agreement with experimental data.
AB - New advanced and simple two-dimensional (2D) models of sessile droplet heating/cooling and evaporation are suggested. In contrast to the earlier developed one-dimensional (1D) model, based on the assumption that heat supplied from the supporting surface is homogeneously and instantaneously spread throughout the droplet, both new 2D models consider the spatial distribution of this heat. The advanced 2D model is based on the numerical solution to the equations of conservation of mass, momentum, vapour mass fraction and energy with standard boundary and initial conditions, using COMSOL Multiphysics code. Simple 2D and 1D models assume that droplets keep their truncated spherical shapes during the evaporation process. In the 1D model the analytical solution to the 1D heat conduction equation inside the droplet is implemented into a numerical code. In the simple 2D model the 2D version of this equation is solved numerically using COMSOL Multiphysics code. Droplet deformation, temperature gradients along the droplet surface and the Marangoni effect are not considered in this model. The predictions of all three models are validated using in-house experimental data obtained from studies of sessile droplets of distilled water with initial volumes 5.2, 3.2 and 2.2 mkl, and at an ambient temperature of 298.15 K and atmospheric pressure. The observed values of normalised droplet radii squared are shown to be close to those predicted by all three models. This allows us to recommend the application of the simplest 1D model for predicting this parameter. The time dependencies of the droplet average surface temperature predicted by the advanced 2D model are shown to be close to those observed experimentally. The simple 2D and 1D models can correctly predict the initial rapid decrease in droplet average surface temperature followed by its gradual increase in agreement with experimental data.
KW - Condensed Matter Physics
KW - Electrochemistry
KW - General Materials Science
KW - Spectroscopy
KW - Surfaces and Interfaces
UR - http://www.scopus.com/inward/record.url?scp=85184294424&partnerID=8YFLogxK
U2 - 10.1021/acs.langmuir.3c03171
DO - 10.1021/acs.langmuir.3c03171
M3 - Article
SN - 0743-7463
VL - 40
SP - 2656
EP - 2663
JO - Langmuir
JF - Langmuir
IS - 5
ER -