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Description
Technical surfaces are rarely perfectly smooth; instead, they typically exhibit some degree of roughness. Furthermore, as micro-production techniques continue to advance, it has become possible to manufacture geometrical surface structures at the microscale, posing challenges for wetting models, which are often designed for smooth surfaces. In [1, 2], a phase-field model for surface wetting was proposed and serves as the foundation for this investigation. The model's ability to handle non-smooth surfaces was examined in [3, 4]. It was observed that while the model struggles to provide reliable results for randomized rough surfaces, it performs well for sinusoidally shaped surfaces within the investigated scope. In this study, we propose a simple geometrical model that represents the droplet as part of a circle intersecting a sine function. This model is used to generate potential configurations for a given set of parameters, which are then compared to the results of phase-field simulations to validate the simulations.
[1] F. Diewald, C. Kuhn, M. Heier, M. Horsch, K. Langenbach, H. Hasse, and R. Müller, 2017, Surface wetting with droplets: A phase field approach., PAMM 17(1), 501–502.
[2] F. Diewald, M. Heier, M. Horsch, C. Kuhn, K. Langenbach, H. Hasse, andR. Müller, 2018, Three-dimensional phase field modeling of inhomogeneous gas-liquid systems using the PeTS equation of state, The Journal of Chemical Physics 149(6), 064701.
[3] J. Wolf, Y. Flieger, F. Diewald, K. Langenbach, S. Stephan, H. Hasse, and R. Müller, 2023, Wetting of rough surfaces in a phase field model. PAMM, 22: e202200275.
[4] J. Kunz, L. Leroux, H. Hasse, R. Müller, 2024, Behavior of a phase field model for wetting on structured surfaces. PAMM, 24, e202400198.
