Abstract Technical surfaces are generally not perfectly smooth, but usually exhibit roughness. Additionally, as micro production techniques continue to evolve, geometrical surface structures at the micro scale can be manufactured, which presents a challenge for wetting models that are commonly formulated for smooth surfaces. A phase field model for surface wetting, proposed by Diewald et al., serves as a basis for this investigation. On smooth surfaces, the width of the gas‐liquid interface can be widened for scale bridging purposes, as this allows for accurate computations on coarse grids. However, it was observed that this interface scaling impacts the results when the model is applied to rough surfaces, and therefore a free choice of the interface width is not always sensible. In this work, the ability of the model to deal with sinusoidally shaped surfaces is investigated. An Allen–Cahn evolution equation is used to determine static equilibrium configurations for droplets on such surfaces. 

Behavior of a phase field model for wetting on structured surfaces

Surface wetting can be simulated using a phase field approach which describes the continuous liquid‐gas transition with the help of an order parameter. In this publication, wetting of non‐planar surfaces is investigated based on a phase field model by Diewald et al. [1, 2]. Different scenarios of droplets on rough surfaces are simulated. The static equilibrium for those scenarios is calculated using an Allen‐Cahn evolution equation. The influence of the surface morphology on the resulting contact angle is investigated while the width of the phase transition from liquid to gas is varied as a model parameter.

https://onlinelibrary.wiley.com/doi/pdfdirect/10.1002/pamm.202200275

Wetting of rough surfaces in a phase field model

Within carbon fiber manufacturing, stabilization process is the most timeand energy-intensive process, due to the complexity of chemical structure transformation. Therefore, optimization is strictly required to enable cost-efficient stabilization processes. Within this study, for the first time a hybrid semi-parametric model for continuous stabilization is developed to prognose stabilization progress and density of the stabilized fiber. The proposed model takes the process parameters, like dwell time, stabilization temperature and fiber stretching, as well as precursor properties, such as fiber density, into account. Finally, the proposed hybrid semi-parametric model offers a novel plant transferable optimization solution for model-based energy optimization in the stabilization process.

Thermomechanical modeling of the stabilization process for carbon fiber production

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Wetting of rough surfaces in a phase field model

Thermomechanical modeling of the stabilization process for carbon fiber production