Effects of pressure-dependent viscosity variation on the squeeze film lubrication between a sphere and a rough flat plate with couple stress fluids

In this paper, a theoretical study of the combined effects of surface roughness and the variation of viscosity with pressure on the squeeze film lubrication between sphere and a flat plate is presented. Based on the Christensen’s stochastic theory for the hydrodynamic lubrication of rough surfaces,...

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Veröffentlicht in:Proceedings of the Institution of Mechanical Engineers. Part J, Journal of engineering tribology Journal of engineering tribology, 2015-09, Vol.229 (9), p.1114-1124
Hauptverfasser: Naduvinamani, NB, Siddangouda, A, Hiremath Ayyappa, G, Biradar, SN
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container_title Proceedings of the Institution of Mechanical Engineers. Part J, Journal of engineering tribology
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creator Naduvinamani, NB
Siddangouda, A
Hiremath Ayyappa, G
Biradar, SN
description In this paper, a theoretical study of the combined effects of surface roughness and the variation of viscosity with pressure on the squeeze film lubrication between sphere and a flat plate is presented. Based on the Christensen’s stochastic theory for the hydrodynamic lubrication of rough surfaces, two types of one-dimensional surface roughness (radial and azimutal) patterns are considered. The generalized averaged Reynold’s equation for Stokes couple stress fluids accounting for the pressure dependent viscosity is mathematically derived for the problem under consideration. The standard perturbation technique is used to solve the averaged nonlinear Reynold’s equation and an approximate analytical solution for the fluid film mean pressure is obtained for the two types of one-dimensional roughness patterns. It is found that, the effects of couple stresses and pressure dependent viscosity variation are to improve the squeeze film characteristics.
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source SAGE HSS 2017
subjects Computational fluid dynamics
Elastohydrodynamic lubrication
Flat plates
Fluid flow
Joining
Lubrication
Mathematical analysis
Mechanical engineering
Reynolds equation
Squeeze films
Stochastic models
Stresses
Surface roughness
Tribology
Viscosity
title Effects of pressure-dependent viscosity variation on the squeeze film lubrication between a sphere and a rough flat plate with couple stress fluids
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