A reduced elasto-hydrodynamic mathematical model of the slot-die coating process
Slot-die coating is a well-established technique employed in numerous industrial and technological applications. The underlying physics involves the coupling of coating fluid flow and substrate deformation (elasto-hydrodynamics). Given the complexity of physics and the large number of working parame...
| Autores: | , , , |
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| Formato: | artículo |
| Fecha de publicación: | 2025 |
| País: | España |
| Recursos: | Universidad de Navarra |
| Repositorio: | Dadun. Depósito Académico Digital de la Universidad de Navarra |
| Idioma: | inglés |
| OAI Identifier: | oai:dadun.unav.edu:10171/120610 |
| Acesso em linha: | https://hdl.handle.net/10171/120610 |
| Access Level: | acceso abierto |
| Palavra-chave: | Slot-die coating Elasto-hydrodynamics Fluid-structure interaction (fsi) Reduced model Non-Newtonianf luid |
| Resumo: | Slot-die coating is a well-established technique employed in numerous industrial and technological applications. The underlying physics involves the coupling of coating fluid flow and substrate deformation (elasto-hydrodynamics). Given the complexity of physics and the large number of working parameters involved, mathematical models are crucial for defining the parameter ranges necessary to achieve defect-free coatings, thereby establishing the coating window of the process. However, a complete mathematical model based on a detailed description of the physics requires a high computational cost, making it impractical for industrial environments where fast or real-time responses are required, and hindering the implementation of digital twins for process monitoring and control. The proposed reduced mathematical model of the process is derived from the complete mathematical models of fluid flow and solid mechanics. It couples (fluid structure interaction) simplified representations of both the coating fluid flow and roller deformations resulting from the pressure exerted by the coating fluid. Cases relevant to a real-world industrial application have been employed to verify and validate the reduced model. The results obtained from the reduced model were compared with those obtained by solving the complete model, demonstrating its ability to yield similar outcomes at significantly lower computational cost. Moreover, the reduced model has been experimentally validated by comparing the pressure values it provides with those measured by a pressure transducer mounted in the industrial system, revealing close agreement between them. To demonstrate the efficacy of the reduced model, it has been utilized to investigate how various operational parameters including die position, adhesive rheology, flow rate, and roller deformation influence the position of the upstream meniscus, thereby identifying potential defects such as ribbing, air entrainment, and swelling. |
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