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Effects of rough boundary and nonzero boundary conditions on the lubrication process with micropolar fluid

 

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Opened Access Effects of rough boundary and nonzero boundary conditions on the lubrication process with micropolar fluid
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Author: Bonnivard, Matthieu
Pažanin, Igor
Suárez Grau, Francisco Javier
Department: Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico
Date: 2018
Published in: European Journal of Mechanics / B Fluids, 72, 501-518.
Document type: Article
Abstract: The lubrication theory is mostly concerned with the behavior of a lubricant flowing through a narrow gap. Motivated by the experimental findings from the tribology literature, we take the lubricant to be micropolar fluid and study its behavior in a thin domain with rough boundary. Instead of considering (commonly used) simple zero boundary condition, we impose physically relevant (nonzero) boundary condition for microrotation and perform asymptotic analysis of the corresponding 3D boundary value problem. We formally derive a simplified mathematical model acknowledging the roughness-induced effects and the effects of the nonzero boundary conditions on the macroscopic flow. Using the obtained asymptotic model, we study numerically the influence of the specific rugosity profile on the performance of a linear slider bearing. The numerical results clearly indicate that the use of the rough surfaces may contribute to enhance the mechanical performance of such device.
Size: 461.4Kb
Format: PDF

URI: https://hdl.handle.net/11441/78956

DOI: 10.1016/j.euromechflu.2018.07.013

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