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A new lattice Boltzmann model for liquid–solid phase transition and its application in the simulation of sessile droplet solidification – focusing on volume change

Published online by Cambridge University Press:  03 January 2024

Omid Reza Mohammadipour Open the ORCID record for Omid Reza Mohammadipour [Opens in a new window]  and
Xili Duan Open the ORCID record for Xili Duan [Opens in a new window]
Omid Reza Mohammadipour*
Affiliation:
Mechanical Engineering Department, Payame Noor University (PNU), Tehran 19395-4697, Iran
Xili Duan
Affiliation:
Department of Mechanical Engineering, Memorial University of Newfoundland, St. John's, NL A1B 3X5, Canada
*
†Email address for correspondence: o.mohammadipour@pnu.ac.ir
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Abstract

This paper introduces a new modification to the convective Cahn–Hilliard equation and a lattice Boltzmann framework to simulate liquid–solid phase transitions in multicomponent systems. The model takes into account changes in properties, such as density, caused by solidification, which leads to volume expansion or contraction. After validating the proposed model against classical problems and experimental data, the solidification of a sessile droplet was investigated in detail. Results of numerical simulations suggest that the environmental conditions are as important as the surface condition in deciding the freezing time and the final shape of the droplet. The environmental properties can also affect the freezing time indirectly through interaction with surface wettability. It has been demonstrated that hydrophobic surfaces may lose their advantages over hydrophilic surfaces in terms of anti-icing performance when primary solidification is initiated from the interface between the droplet and the environment fluid. The deformations of droplets, either with contraction or expansion, were confirmed and compared in different environments. This study offers a new perspective on droplet solidification by exposing the strong influence of environmental conditions and meanwhile provides a useful numerical method to predict the phase change process.

JFM classification

Phase change: Solidification/melting Multiphase and Particle-laden Flows: Multiphase flow Mathematical Foundations: Computational methods
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 978 , 10 January 2024 , A10
Copyright
© The Author(s), 2024. Published by Cambridge University Press

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