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A numerical simulation of viscous shear effects on poroussqueeze-film using the Darcy-Brinkman model

Published online by Cambridge University Press:  24 December 2010

Mohamed Nabhani ,
Mohamed El Khlifi  and
Benyebka Bou-saïd
Mohamed Nabhani*
Affiliation:
Universitéde Lyon, CNRS INSA-Lyon, LaMCoS, UMR 5259, 69621 Villeurbanne Cedex, France
Mohamed El Khlifi
Affiliation:
University Hassan II Mohammedia – Casablanca, Faculty of Sciences and Technics, BP 146, 20650 Mohammedia, Morocco
Benyebka Bou-saïd
Affiliation:
Université de Lyon, CNRS INSA-Lyon, LaMCoS, UMR 5259, 20 avenue Albert Einstein, 69621 Villeurbanne Cedex, France
*
a Corresponding author:[email protected]
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Abstract

In recent decades, problems related to the squeeze of fluid films in the presence of aporous medium draw attention of researchers and are the subject of many applied studiesfor industry and biomechanics. Our concerns in this paper are the numerical simulation ofthe viscous shear stresses effects on the fluid film characteristics between two discswith one porous. This study is based on the coupling, at the fluid film-porous discinterface, of the Darcy-Brinkman equations in the porous medium and the modified Reynoldsequation describing the flow in the fluid film. The system of equations obtained isdiscretized by the means of finite differences method and solved numerically using thetechnique of Successive Over-Relaxation (SOR). The results show that the viscous sheareffects increase the radial and the axial fluid film velocities as well as the squeezefilm velocity but decrease the response time. Moreover, these effects are enlarged forsmaller viscous shear parameter and for smaller fluid film thickness.

Keywords

Porous mediumDarcy-Brinkman modelsqueeze-filmmodified Reynolds equationnumerical simulationMilieu poreuxmodèle de Darcy-Brinkmanécrasement de filméquation de Reynolds modifiéesimulation numérique
Type
Research Article
Information
Mechanics & Industry , Volume 11 , Issue 5 , September 2010 , pp. 327 - 337
Copyright
© AFM, EDP Sciences 2010

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