Spreading of Micrometer-Sized Droplets under the Influence of Insoluble and Soluble Surfactants: A Numerical Study
Abstract
:1. Introduction
2. Method
2.1. Model Equations
2.2. Numerical Method
2.3. Parameters for Droplet Spreading
2.4. Numerical Setup for Droplet Spreading
3. Results
3.1. Verification of the Sorption Model
3.2. Verification of the Marangoni Stress Model
3.3. Spreading of Droplet with Insoluble Surfactant
3.4. Spreading with Soluble Surfactant
4. Discussion
5. Conclusions
Supplementary Materials
Author Contributions
Funding
Acknowledgments
Conflicts of Interest
References
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0 | 0.25 | 0.5 | 0.75 | 1 | ||
in mol | 0 | 1.182 | 2.363 | 3.545 | 4.727 | |
in mol | 1.939 | 1.690 | 1.440 | 1.190 | 0.941 | |
n | in mol | 1.164 | 1.164 | 1.164 | 1.164 | 1.164 |
in | 35 | 32.09 | 29.12 | 26.09 | 23 |
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Antritter, T.; Hachmann, P.; Gambaryan-Roisman, T.; Buck, B.; Stephan, P. Spreading of Micrometer-Sized Droplets under the Influence of Insoluble and Soluble Surfactants: A Numerical Study. Colloids Interfaces 2019, 3, 56. https://doi.org/10.3390/colloids3030056
Antritter T, Hachmann P, Gambaryan-Roisman T, Buck B, Stephan P. Spreading of Micrometer-Sized Droplets under the Influence of Insoluble and Soluble Surfactants: A Numerical Study. Colloids and Interfaces. 2019; 3(3):56. https://doi.org/10.3390/colloids3030056
Chicago/Turabian StyleAntritter, Thomas, Peter Hachmann, Tatiana Gambaryan-Roisman, Bernhard Buck, and Peter Stephan. 2019. "Spreading of Micrometer-Sized Droplets under the Influence of Insoluble and Soluble Surfactants: A Numerical Study" Colloids and Interfaces 3, no. 3: 56. https://doi.org/10.3390/colloids3030056