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An effective model for the lubrication with micropolar fluid
Affiliation:1. University of Naples Federico II, Department of Mathematics and Applications “Renato Caccioppoli”, Via Cinzia, 80126 Naples, Italy;2. University of Naples Federico II, Accademia Nazionale dei Lincei, Via della Lungara 10, Rome 06165, Italy;1. Resident, Department of Otorhinolaryngology and Head and Neck Surgery, University Hospital Center Sestre milosrdnice, Zagreb, Croatia;2. Consultant, School of Medicine, University of Zagreb, Zagreb, Croatia;3. Consultant, School of Medicine, University of Zagreb, Zagreb, Croatia;4. Professor and Head, Department of Otology, School of Dental Medicine, University of Zagreb, Zagreb, Croatia;1. Departamento de Matemática Aplicada, Universidad Complutense de Madrid, 28040 Madrid, Spain;2. Instituto de Ciencias Matemáticas CSIC-UAM-UC3M-UCM, C/Nicolás Cabrera 13-15, Cantoblanco, 28049 Madrid, Spain
Abstract:In this paper, using asymptotic analysis, we study the lubrication process with incompressible micropolar fluid. Starting from 3D micropolar equations, we derive the higher-order asymptotic model explicitly acknowledging the microstructure effects. The effective equations are similar to the Brinkman model for porous medium flow.
Keywords:Micropolar fluid  Lubrication  Asymptotic expansion  Higher-order model
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