Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Evaporation of Small Sessile Drop Deposited on Horizontal Solid Surface: New Exact Solutions and Approximations

Version 1 : Received: 16 August 2023 / Approved: 17 August 2023 / Online: 17 August 2023 (11:39:17 CEST)

A peer-reviewed article of this Preprint also exists.

Lebedev-Stepanov, P.; Savenko, O. Evaporation of Small Sessile Drop Deposited on a Horizontal Solid Surface: New Exact Solutions and Approximations. Colloids Interfaces 2024, 8, 2. Lebedev-Stepanov, P.; Savenko, O. Evaporation of Small Sessile Drop Deposited on a Horizontal Solid Surface: New Exact Solutions and Approximations. Colloids Interfaces 2024, 8, 2.

Abstract

Evaporating liquid sessile drop deposited on horizontal surface is an important object of applications (printing technologies, electronics, sensorics, medical diagnostics, hydrophobic coatings, etc.) and theoretical investigations (microfluidics, self-assembly of nanoparticle, crystallization of the solute, etc.). The arsenal of formulas for calculating the slow evaporation of an axisymmetric drop of capillary dimensions deposited on a flat solid surface is reviewed. Such characteristics as vapor density, evaporation flux density, total evaporation rate are considered. Exact solutions obtained in the framework of the Maxwellian model, in which the evaporation process of the drop is limited by vapor diffusion from the drop surface to the surrounding air, are presented. The summary covers both well-known results obtained during the last decades and new results published by us in the last few years, but practically unknown to the wide scientific community. The newest formulas, not yet published in refereed publications, concerning exact solutions for a number of specific contact angles are also presented. In addition, new approximate solutions are presented for the first time (total evaporation rate and mass loss per unit surface area per unit time in the whole range of contact angles ), which can be used in modeling without requiring significant computational resources.

Keywords

sessile liquid droplet; evaporation rate; diffusion, Laplace equation, analytical solution, flux density, mass loss per unit surface area per unit time

Subject

Chemistry and Materials Science, Surfaces, Coatings and Films

Comments (0)

We encourage comments and feedback from a broad range of readers. See criteria for comments and our Diversity statement.

Leave a public comment
Send a private comment to the author(s)
* All users must log in before leaving a comment
Views 0
Downloads 0
Comments 0


×
Alerts
Notify me about updates to this article or when a peer-reviewed version is published.
We use cookies on our website to ensure you get the best experience.
Read more about our cookies here.