1959
DOI: 10.1243/jmes_jour_1959_001_004_02
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A Numerical Solution to the Elasto-Hydrodynamic Problem

Abstract: This paper presents a solution to the problem of hydrodynamic lubrication of highly loaded clastic cylinders under isothermal conditions. A numerical method is developed which enables a pressure curve to be found which satisfies the elastic and hydrodynamic requirements of the system.Results are presented which take account of elastic distortion and the dependence of viscosity upon pressure for centre-line pressures of 5, 10, 20, and 30 tonlin2. I n addition solutions are given for both rigid and elastic solid… Show more

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Cited by 527 publications
(271 citation statements)
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“…A density model proposed by Dowson and Higginson [37], modified for temperature variation by Yang et al [38] provides:…”
Section: Lubricant Rheologymentioning
confidence: 99%
“…A density model proposed by Dowson and Higginson [37], modified for temperature variation by Yang et al [38] provides:…”
Section: Lubricant Rheologymentioning
confidence: 99%
“…Dirichlet boundary conditions apply to Eqs. (1) and (2) such that pressure at the global inlet (p a ) and outlet (p b ) is zero (ambient pressure):…”
Section: Fluid Flow Modelmentioning
confidence: 99%
“…The Reynolds equation [1] is well established as an accurate means of describing fluid flow in the Elastohydrodynamic Lubrication (EHL) of smooth surface geometries [2].M o r er e c e n t l yt h e focus of lubrication engineers has been directed toward analysis of surface topography and the influence that this has on bearing load capacity and friction coefficients [3]. The potential of topographical features to improve bearing performance has increased the importance of surface roughness and texturing within bearing design [4].…”
Section: Introductionmentioning
confidence: 99%
“…(27). Therefore, a quasi-static load balance must be sought between the contact load carrying capacity, comprising asperity load share and any hydrodynamic lubricant reaction against the applied load, thus:…”
Section: The Numerical Modelmentioning
confidence: 99%