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 |
Keywords
- Allen–Cahn equation
- Brownian dynamics
- Coffee-ring effect
- Monte Carlo simulation
- Pinning boundary condition
ASJC Scopus subject areas
- Computational Mechanics
- Condensed Matter Physics
- Engineering(all)
- Fluid Flow and Transfer Processes