Hydrodynamic Bearings

This Series provides the necessary elements to the development and validation of numerical prediction models for hydrodynamic bearings. This book describes the rheological models and the equations of lubrication. It also presents the numerical approaches used to solve the above equations by finite differences, finite volumes and finite elements methods.

This Series provides the necessary elements to the development and validation of numerical prediction models for hydrodynamic bearings. This book describes the rheological models and the equations of lubrication. It also presents the numerical approaches used to solve the above equations by finite differences, finite volumes and finite elements methods.

Foreword by J.F. Booker ixForeword by Jean Frêne xiiiPreface xviiNomenclature xxiiiChapter 1 The Lubricant 11.1 Description of lubricants 11.2 The viscosity 21.3 Other lubriciant properties 121.4 Lubricant classification and notation 141.5 Bibliography 15Chapter 2 Equations of Hydrodynamic Lubrication 172.1 Hypothesis 172.2 Equation of generalized viscous thin films 182.3 Equations of hydrodynamic for journal and thrust bearings202.4 Film rupture; second form of Reynolds equation 262.5 Particular form of the viscous thin film equation in thecase of wall slipping 322.6 Boundary conditions; lubricant supply 352.7 Flow rate computation 432.8 Computation of efforts exerted by the pressure field and theshear stress field: journal bearing case 512.9 Computation of efforts exerted by the pressure field and theshear stress field: thrust bearing case 542.10 Computation of viscous dissipation energy: journal bearingcase 572.11 Computation of viscous dissipation energy: thrust bearingcase 592.12 Different flow regimes 592.13 Bibliography 61Chapter 3 Numerical Resolution of the Reynolds Equation6733.1 Definition of the problem to be solved 643.2 The finite difference method 703.3 The finite volume method 823.4 The finite element method 903.5 Discretization of time derivatives 1083.6 Comparativ analysis of the different methods 1143.7 Accounting of film thickness discontinuities 1463.8 Numerical algorithm for computing bearing axial flow rate1493.9 Bibliography 155Chapter 4 Elastohydrodynamic Lubrication 1594.1 Bearings with elastic structure 1604.2 Elasticity accounting: compliance matrices 1634.3 Accounting of shaft elasticity 1784.4 Particular case of non-conformal meshes 1804.5 Bibliography 184Appendix 185Index 189