Phase-field modeling and computer simulation of the coffee-ring effect

Junxiang Yang, Hyundong Kim, Chaeyoung Lee, Sangkwon Kim, Jian Wang, Sungha Yoon, Jintae Park, Junseok Kim

    Research output: Contribution to journalArticlepeer-review

    9 Citations (Scopus)

    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 languageEnglish
    Pages (from-to)679-692
    Number of pages14
    JournalTheoretical and Computational Fluid Dynamics
    Volume34
    Issue number5-6
    DOIs
    Publication statusPublished - 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

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