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Asymptotic analysis of a thin fluid layer flow between two moving surfaces
- Publication Year :
- 2021
-
Abstract
- In this paper we study the behavior of an incompressible viscous fluid moving between two very close surfaces also in motion. Using the asymptotic expansion method we formally justify two models, a lubrication model and a shallow water model, depending on the boundary conditions imposed. Finally, we discuss under what conditions each of the models would be applicable.
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2101.07862
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1016/j.jmaa.2021.125735