Sprecher
Beschreibung
We present a mesoscopic thin-film model in gradient dynamics form for binary liquid mixtures on solid substrates incorporating interface tension-induced flow, and volatility in a narrow gap. Thereby, we use and expand models established in [1–4] by accounting for the two substances in each of two bulk phases - liquid and gas - and for the enrichment of one component at the liquid-gas interface. We discuss the different contributions to the free energy, thereby employing Flory-Huggins theory of mixing for the condensed phase and assuming ideal gases for the vapor phase. The resulting five-field model is then analyzed with numerical time simulations focusing on the interplay of the drop dynamics with the developing lateral concentration gradients, and the resulting Marangoni flows. The results are compared to experimental findings [5].
[1] Uwe Thiele, Andrew J. Archer, and Len M. Pismen. Physical Review Fluids, 2016. doi: 10.1103/physrevfluids.1.083903.
[2] Xinpeng Xu, Uwe Thiele, and Tiezheng Qian. Journal of Physics: Condensed Matter, 2015. doi:10.1088/0953-8984/27/8/085005.
[3] Simon Hartmann, Jan Diekmann, Daniel Greve, and Uwe Thiele. Langmuir, 2024. doi: 10.1021/acs.langmuir.3c03313.
[4] Uwe Thiele, Desislava V. Todorova, and Hender Lopez. Physical Review Letters, 2013. doi: 10.1103/physrevlett.111.117801.
[5] Youchuang Chao, Olinka Ramı́rez-Soto, Christian Bahr, and Stefan Karpitschka. Proceedings of the National Academy of Sciences, 2022. doi: 10.1073/pnas.2203510119.