Abstract
In this work, using a mathematical model and numerical simulation, we investigate the effect of time-dependent evaporation rates on stripe formation inside containers. This pattern formation is driven by the coffee-ring effect. The coffee particles inside a container move according to random walk and under the gravitational force. Because of the time-dependent evaporation rate, we can observe stripe formation inside a container after evaporation of the coffee particle-laden liquid. Various numerical experiments are performed to demonstrate the proposed model can simulate the stripe formation in a container.
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Acknowledgements
The first author (Hyundong Kim) was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (NRF-2020R1A6A3A13077105). Junxiang Yang was supported by China Scholarship Council (201908260060). Chaeyoung Lee was supported by the National Research Foundation (NRF), Korea, under project BK21 FOUR. 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 are grateful to the reviewers whose valuable suggestions and comments significantly improved the quality of this article.
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Kim, H., Yang, J., Kim, S. et al. Numerical simulation of the coffee-ring effect inside containers with time-dependent evaporation rate. Theor. Comput. Fluid Dyn. 36, 423–433 (2022). https://doi.org/10.1007/s00162-021-00602-x
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DOI: https://doi.org/10.1007/s00162-021-00602-x