Abstract

Abstract

Highlights

  • A sessile droplet evaporating from a solid substrate is central to a wide variety of processes

  • We have developed a one-sided model under the lubrication approximation to study the spreading and subsequent evaporation of volatile binary droplets consisting of an ethanol–water type mixtures deposited on a heated substrate

  • We considered flat droplets, assumed to be very thin such that their radius is much larger than their height

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Summary

Introduction

A sessile droplet evaporating from a solid substrate is central to a wide variety of processes. For ethanol–water droplets, Diddens et al (2017) observed that at long times ethanol had almost entirely evaporated but a strong thermal Marangoni flow was still present – validating the hypothesis of Christy et al (2011) They noted that when the droplet becomes flat, the surface tension gradient leads to shape deformation with a depression in the droplet centre – similar to the observations of Guéna et al (2007). This behaviour is clearly reminiscent of superspreading reported in surfactant-laden flows (Rafaï et al 2002; Karapetsas, Craster & Matar 2011) As it will be shown below, enhanced spreading of binary mixture droplets is due to the presence of strong Marangoni stresses near the contact line, arising due to the preferential evaporation of ethanol in that region. It is shown that the dynamics of the evaporation and droplet shape is dictated by the interplay of thermal and solutal Marangoni stresses and capillary forces

Description of the problem
Scaling
Solution method and initial conditions
Precursor film and resulting boundary conditions
Apparatus and experimental procedure
Errors and uncertainty
Typical evaporation process
Variation in temperature
The pure fluid limit
Pure water droplet
Binary mixture droplet behaviour
Mechanisms governing contact line motion
Low initial ethanol concentration
Parametric analysis
Evaporation number
Knudsen number
Marangoni number
Surface tension ratio
Péclet number
Reynolds number
Comparison with experiments
Conclusions
Full Text
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