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Kinetic Monte Carlo and hydrodynamic modelling of droplet dynamics on surfaces, including evaporation and condensation

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journal contribution
posted on 03.10.2019, 15:07 by Mounirah Areshi, Dmitri TseluikoDmitri Tseluiko, Andrew ArcherAndrew Archer
We present a lattice-gas (generalised Ising) model for liquid droplets on solid surfaces. The time evolution in the model involves two processes: (i) Single-particle moves which are determined by a kinetic Monte Carlo algorithm. These incorporate into the model particle diffusion over the surface and within the droplets and also evaporation and condensation, i.e. the exchange of particles between droplets and the surrounding vapour. (ii) Larger-scale collective moves, modelling advective hydrodynamic fluid motion, determined by considering the dynamics predicted by a thin-film equation. The model enables us to relate how macroscopic quantities such as the contact angle and the surface tension depend on the microscopic interaction parameters between the particles and with the solid surface. We present results for droplets joining, spreading, sliding under gravity, dewetting, the effects of evaporation, the interplay of diffusive and advective dynamics, and how all this behaviour depends on the temperature and other parameters.

Funding

KSA Ministry of Higher Education

University of Tabuk

History

School

  • Science

Department

  • Mathematical Sciences

Published in

Physical Review Fluids

Volume

4

Publisher

American Physical Society

Version

AM (Accepted Manuscript)

Rights holder

© American Physical Society

Publisher statement

This paper was accepted for publication in the journal Physical Review Fluids and the definitive published version is available at https://doi.org/10.1103/PhysRevFluids.4.104006.

Acceptance date

02/10/2019

Publication date

2019-10-30

Copyright date

2019

ISSN

2469-990X

Language

en

Depositor

Prof Andrew Archer

Article number

104006

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