Abstract
In this study, we propose a novel computational model for simulating the coffee-ring phenomenon. The proposed method is based on a phase-field model and Monte Carlo simulation. We use the Allen–Cahn equation with a pinning boundary condition to model a drying droplet. The coffee particles inside the droplet move according to a random walk function with a truncated standard normal distribution under gravitational force. We perform both two-dimensional and three-dimensional computational experiments to demonstrate the accurate simulation of the coffee-ring phenomenon by the proposed model.
Original language | English |
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Pages (from-to) | 679-692 |
Number of pages | 14 |
Journal | Theoretical and Computational Fluid Dynamics |
Volume | 34 |
Issue number | 5-6 |
DOIs | |
Publication status | Published - 2020 Dec 1 |
Bibliographical note
Funding Information:The authors greatly appreciate the reviewers for their constructive comments and suggestions, which have significantly improved the quality of this paper. J. Yang is supported by China Scholarship Council (201908260060). 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).
Publisher Copyright:
© 2020, Springer-Verlag GmbH Germany, part of Springer Nature.
Keywords
- Allen–Cahn equation
- Brownian dynamics
- Coffee-ring effect
- Monte Carlo simulation
- Pinning boundary condition
ASJC Scopus subject areas
- Computational Mechanics
- Condensed Matter Physics
- General Engineering
- Fluid Flow and Transfer Processes