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Asymptotic Analysis of a Thin Fluid Layer Flow Between Two Moving Surfaces

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URI: http://hdl.handle.net/2183/29433
DOI: 10.1016/j.jmaa.2021.125735

Publication date

2022-03-01

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J.M. Rodríguez, R. Taboada-Vázquez, Asymptotic analysis of a thin fluid layer flow between two moving surfaces, Journal of Mathematical Analysis and Applications, Volume 507, Issue 1, 2022, 125735, ISSN 0022-247X, https://doi.org/10.1016/j.jmaa.2021.125735. (https://www.sciencedirect.com/science/article/pii/S0022247X21008143)

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Abstract

[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.

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Financiado para publicación en acceso aberto: Universidade da Coruña/CISUG

Keywords

Fluid mechanics Lubrication Shallow waters Asymptotic analysis

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https://doi.org/10.1016/j.jmaa.2021.125735

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