Elastohydrodynamic Lubrication for Line and Point Contacts: Asymptotic and Numerical Approaches

I Basic Properties of Solids and Fluids Involved in Lubricated Contacts Basic Properties and Rheology of Lubricating Oils Introduction Rheology Relationships for Lubricating Oils Polymer Thickening and Shear Stability Closure Exercises and Problems References Basic Properties of Elastic Solids Introduction Material Density Material Elastic Properties Material Thermal Diffusivity and Specific Heat Capacity Closure References II Asymptotic Methods and Relationships Relevant to Elastohydrodynamic Lubrication Theory Basics of Asymptotic Expansions and Methods Introduction Ordering, Order Sequences, and Asymptotic Expansions Asymptotic Sequences and Expansions Asymptotic Methods Closure Exercises and Problems References Basics of the Theory of Elastohydrodynamically Lubricated (EHL) Contacts Introduction Simplified Navier-Stokes and Energy Equations Some Classic Results for Smooth Elastic Solids Closure Exercises and Problems References III EHL Problems for Lightly Loaded Line and Point Contacts Lightly Loaded Lubrication Regimes for Line and Point Contacts Introduction Lightly Loaded Lubrication Regimes for Line Contacts Asymptotic Approach to Lightly Loaded Point EHL Problems Closure Exercises and Problems References IV Isothermal EHL Problems for Heavily Loaded Line Contacts with Newtonian Lubricant Asymptotic Approaches to Heavily Loaded Lubricated Line Contacts Introduction Numerical Solution for EHL Contacts Pre-Critical Lubrication Regimes Practical Use of the Asymptotic Solutions Compressible Fluids in Heavily Loaded Contacts Over-Critical Lubrication Regimes Choosing Pre- or Over-Critical Lubrication Regimes Analysis of the Ertel-Grubin Method Numerical Solution of Asymptotic Equations Numerical Validation of the Asymptotic Analysis Numerical Precision, Grid Size, and Stability Considerations Closure Exercises and Problems References V Isothermal and Thermal EHL Problems for Line Contacts and Lubricants with Newtonian and Non-Newtonian Rheologies Thermal EHL Problems for Line Contacts Introduction Formulation of TEHL Problem Analytical Approximations for Newtonian Fluids in TEHL Contacts Numerical Solutions of Asymptotic TEHL Problems for Newtonian Lubricants Closure Exercises and Problems References Regularization of the Isothermal EHL Problems Introduction Regularized Solution of Asymptotic Problems Numerical Method for the Isothermal EHL Problem Some Numerical Solutions of the Regularized Isothermal EHL Problem Closure Exercises and Problems References Approximations for Non-Newtonian Fluids in Line Contacts Introduction Formulation of Isothermal Line EHL Problem for Non-Newtonian Fluids Isothermal Line EHL Problem for Pure Rolling. Pre- and Over-Critical Lubrication Regimes. Some Numerical Examples Isothermal Line EHL Problem for Relatively Large Sliding. Pre- and Over-Critical Lubrication Regimes Choosing Pre- and Over-critical Lubrication Regimes for Non-Newtonian Lubricants Closure Exercises and Problems References TEHL Problems for Non-Newtonian Lubricants in Line Contacts Introduction TEHL Problem Formulation for Non-Newtonian Fluids Asymptotic Analysis of the Problem for Heavily Loaded Line Contacts Heat Transfer in the Contact Solids Regularization for Non-Newtonian Fluids Friction in Heavily Loaded Lubricated Contacts Closure Exercises and Problems References VI Stress-Induced Lubricant Degradation in Line EHL Contacts Lubricant Degradation in EHL Contacts Introduction EHL for Degrading Lubricants Lubricant Flow Topology Numerical Method for EHL Problems Solutions for Lubricants without Degradation EHL Solutions for Lubricants with Degradation Lubricant Degradation and Contact Fatigue Closure Exercises and Problems References VII Isothermal and Thermal EHL Problems for Point Contacts and Lubricants with Different Rheologies Isothermal EHL Problems for Heavily Loaded Point Contacts with Newtonian Lubricants Introduction Problem Formulation Pre-Critical Lubrication Conditions Over-Critical Lubrication Conditions Discussion and Validation of Results Closure Exercises and Problems References Isothermal EHL Point Contacts with Skewed Direction of Entrained Lubricant Introduction Problem Formulation Pre-Critical Lubrication Conditions Over-Critical Lubrication Conditions Closure Exercises and Problems References Lubricated Heavily Loaded Rolling and Spinning Ball in a Grooved Raceway Introduction Problem Formulation Case of Pure Spinning Pre-Critical Lubrication Conditions Over-Critical Lubrication Conditions Closure Exercises and Problems References Thermal EHL Problems for Heavily Loaded Point Contacts with Newtonian Lubricants Introduction Problem Formulation Asymptotic Solution for the Lubricant Temperature T. Case of Not Spinning EHL Contact Approximations of Sliding Frictional Stresses. No Spinning EHL Contact Case Asymptotic Solution for the Lubricant Temperature T. Case of EHL Contact with Spinning Regularization Approaches to Solution of Isothermal Point EHL Problems Closure Exercises and Problems References Isothermal EHL Problems for Heavily Loaded Point Contacts. Non-Newtonian Lubricants Introduction Problem Formulation Case of Pure Rolling Case of High Slide-to-Roll Ratio. Approximation of the Reynolds Equation Closure Exercises and Problems References Thermal EHL Problems for Heavily Loaded Point Contacts. Non-Newtonian Lubricants Introduction Problem Formulation Solutions for fx and fy. High Slide-to-Roll Ratio Solution for Lubricant Temperature T. High Slide-to-Roll Ratio Approximate Reynolds Equation. High Slide-to-Roll Ratio Straight Lubricant Entrainment. High Slide-to-Roll Ratio Skewed Lubricant Entrainment without Spinning. High Slide-to-Roll Ratio Skewed Lubricant Entrainment with Spinning. High Slide-to-Roll Ratio Regularization Approach Closure Exercises and Problems References VIII Some Other Topics in Elastohydrodynamic Lubrication Analysis of EHL Contacts for Soft Solids Introduction Formulation of an EHL Problem for Soft Solids Qualitative Analysis of the EHL Problem Surface Velocities for Soft Solids Dimensionless Variables and Numerical Method Numerical Results and Discussion Closure Exercises and Problems References Non-Newtonian Lubricants and Scale Effects Introduction Results of Perturbation Analysis Application of Analytical Result to an EHL Experiment Numerical Solution Application of Numerical Results to an EHL Experiment Closure Exercises and Problems References Lubrication of Line Contacts by Greases Introduction Formulation of the EHL Problems for Greases Properties of the Problem Solution for Greases Greases in a Contact of Rigid Solids Regimes of Grease Lubrication without Cores Closure Exercises and Problems References Non-Steady EHL Problems Introduction Properly Formulated Non-Steady EHL Problems Non-Steady Lubrication of a Journal Bearing Closure Exercises and Problems References Lubricant Starvation and Mixed Friction Problems for Point Contacts Introduction Starved Lubrication and Lubricant Meniscus Formulation and Analysis of a Mixed Lubrication Problem Dry Narrow Contact of Elastic Solids Closure Exercises and Problems References Final Remarks Introduction EHL Contacts for Rough Surfaces Lubricant Degradation Contact Fatigue References