Includes bibliographical references and index.

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Cover; Title Page; Copyright; Contents; Foreword by J.F. Booker; Foreword by Jean Frêne; Preface; Nomenclature; Chapter 1: The Lubricant; 1.1. Description of lubricants; 1.2. The viscosity; 1.2.1. Viscosity -- temperature relationship; 1.2.2. Viscosity -- pressure relationship; 1.2.3. Viscosity -- pressure -- temperature relationship; 1.2.4. Non-Newtonian behavior; 1.3. Other lubricant properties; 1.4. Lubricant classification and notation; 1.5. Bibliography; Chapter 2: Equations of Hydrodynamic Lubrication; 2.1. Hypothesis; 2.2. Equation of generalized viscous thin films.

2.3. Equations of hydrodynamic for journal and thrust bearings; 2.3.1. Specific case of an uncompressible fluid; 2.3.2. Standard Reynolds equation for a journal bearing: general case; 2.3.3. Reynolds equation for a thrust bearing: general case; 2.3.4. Equation of volume flow rate; 2.3.5. Equations of hydrodynamic for journal and thrust bearings lubricated with an isoviscous uncompressible fluid; 2.4. Film rupture; second form of Reynolds equation; 2.5. Particular form of the viscous thin film equation in the case of wall slipping; 2.6. Boundary conditions; lubricant supply.

2.6.1. Conditions on bearing edges; 2.6.2. Conditions for circular continuity; 2.6.3. Conditions on non-active zone boundaries; 2.6.4. Boundary conditions for supply orifices; 2.7. Flow rate computation; 2.7.1. First assumptions; 2.7.2. Model and additional assumptions; 2.7.3. Pressure expression for the full film fringes on the bearing edges; 2.7.4. Evolution of the width of the full film fringes on the bearing edges; 2.7.4.1. The pressure in the full film fringe remains greater than the cavitation pressure.

2.7.4.2. The pressure in the full film fringe becomes lower than the cavitation pressure; 2.7.5. Computation of the flow rate for lubricant entering by the bearing sides; 2.8. Computation of efforts exerted by the pressure field and the shear stress field: journal bearing case; 2.9. Computation of efforts exerted by the pressure field and the shear stress field: thrust bearing case; 2.10. Computation of viscous dissipation energy: journal bearing case; 2.11. Computation of viscous dissipation energy: thrust bearing case; 2.12. Different flow regimes; 2.13. Bibliography.

Chapter 3: Numerical Resolution of the Reynolds Equation; 3.1. Definition of the problems to be solved; 3.1.1. Definition of the problems to be solved; 3.1.2. Problem 2: determining of the pressure and the lubricant filling; 3.1.3. Other problems; 3.2. The finite difference method; 3.2.1. Computation grid; 3.2.2. Discretization of standard Reynolds equation (problem 1); 3.2.3. Discretization of modified Reynolds equation (problem 2); 3.3. The finite volume method 3; 3.3.1. Mesh of the film domain; 3.3.2. Discretization of the standard Reynolds equation (problem 1).

3.3.3. Discretization of modified Reynolds equation (problem 2).

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.