TY - JOUR
T1 - Modeling and simulation of droplet evaporation using a modified Cahn–Hilliard equation
AU - Lee, Hyun Geun
AU - Yang, Junxiang
AU - Kim, Sangkwon
AU - Kim, Junseok
N1 - Funding Information:
The first author (H.G. Lee) was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (NRF-2019R1C1C1011112). The corresponding author (J.S. Kim) was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (NRF-2019R1A2C1003053). The authors thank the reviewers for their constructive and helpful comments on the revision of this article.
Funding Information:
The first author (H.G. Lee) was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education ( NRF-2019R1C1C1011112 ). The corresponding author (J.S. Kim) was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education ( NRF-2019R1A2C1003053 ). The authors thank the reviewers for their constructive and helpful comments on the revision of this article.
Publisher Copyright:
© 2020 Elsevier Inc.
Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2021/2/1
Y1 - 2021/2/1
N2 - In this paper, we propose a mathematical model, its numerical scheme, and some computational experiments for droplet evaporation. In order to model the evaporation, a classical Cahn–Hilliard equation with an interfacial evaporation mass flux term is proposed. An unconditionally gradient stable scheme is used to discretize the governing equation, and the multigrid method is applied to solve the resulting system. The proposed model is first validated via a proper interfacial parameter ϵ, and then, the effect of evaporation rate and effect of contact angle on volume and surface area changes are investigated. The numerical results indicate that the dynamics of evaporation are dependent on the contact angle on a solid substrate.
AB - In this paper, we propose a mathematical model, its numerical scheme, and some computational experiments for droplet evaporation. In order to model the evaporation, a classical Cahn–Hilliard equation with an interfacial evaporation mass flux term is proposed. An unconditionally gradient stable scheme is used to discretize the governing equation, and the multigrid method is applied to solve the resulting system. The proposed model is first validated via a proper interfacial parameter ϵ, and then, the effect of evaporation rate and effect of contact angle on volume and surface area changes are investigated. The numerical results indicate that the dynamics of evaporation are dependent on the contact angle on a solid substrate.
KW - Contact angle
KW - Droplet evaporation
KW - Modified Cahn–Hilliard equation
UR - http://www.scopus.com/inward/record.url?scp=85089732802&partnerID=8YFLogxK
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U2 - 10.1016/j.amc.2020.125591
DO - 10.1016/j.amc.2020.125591
M3 - Article
AN - SCOPUS:85089732802
VL - 390
JO - Applied Mathematics and Computation
JF - Applied Mathematics and Computation
SN - 0096-3003
M1 - 125591
ER -