Abstract
The standard decoupled method with Newton-generalized minimum residual procedure performs poorly or may break down when used to solve certain elastohydrodynamic lubrication problems. The authors Zargari et al., 2007 presented decoupled and coupled methods in which the limitations of the decoupled method for some set of physical parameters and slight variation in these values (physical parameters) give a non-convergence solution. To overcome this aspect the wavelet-based preconditioners technique is used in this paper to solve the elastohydrodynamic lubrication problem. The effect of coupled stress fluids on elastohydrodynamic lubrication behavior in smooth, as well as rough, contact is investigated using the proposed method, numerically, in a low-speed-high load condition. The elastohydrodynamic lubrication characteristics computed for couple stress fluids are found to have strong dependence on the couple stress parameter, which shows the versatility and applicability of the proposed method.
Highlights
The elastohydrodynamic lubrication (EHL) problem is modeled by two main groups of equations, the first concerned with the physical model of the lubricant and the second one governing the lubrication problem, itself
The constitutive relationship for couple stress fluids is presented by Stokes [3] in the analysis to derive the modified Reynolds equation in terms of a dimensionless couple stress parameter which represents the molecular length of the additives
We developed the wavelet-based decoupled method for the investigation of surface roughness effects in EHL line contact problems using a couple stress fluid
Summary
The elastohydrodynamic lubrication (EHL) problem is modeled by two main groups of equations, the first concerned with the physical model of the lubricant and the second one governing the lubrication problem, itself. The system of equations is derived from a dimensionless, thin-film approximation of the Stokes equation, coupled with a linear elastic model of the contacting surfaces. The inlet boundary and the free cavitation point boundary define the region where the Reynolds equation is valid. The present study addresses the compressible EHL problem involving the effect of couple stress fluid in smooth as well as rough line contacts. The constitutive relationship for couple stress fluids is presented by Stokes [3] in the analysis to derive the modified Reynolds equation in terms of a dimensionless couple stress parameter which represents the molecular length of the additives. The surface roughness is assumed to be single-sided, transverse, and sinusoidal [4,5,6,7]
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