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

4 Citations (Scopus)


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
Issue number5-6
Publication statusPublished - 2020 Dec 1


  • 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


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