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Focusing on basic lubrication problems this book offers specific engineering applications. The book introduces methods and programs for the most important lubrication problems and their solutions. It is divided into four parts. The first part is about the general solving methods of the Reynolds equation, including solutions of Reynolds equations with different conditions and their discrete forms, such as a steady-state incompressible slider, journal bearing, dynamic bearing, gas bearing and grease lubrication. The second part gives the 'energy equation solution'. The third part introduces methods and programs for elasto-hydrodynamic lurbication, which links the Reynolds equation with the elastic deformation equation. The final part presents application lubrication programs used in engineering.
* Provides numerical solution methodologies including appropriate software for the hydrodynamic and elasto-hydrodynamic lubrication of bearings
* Offers a clear introduction and orientation to all major engineering lubrication problems and their solutions
* Presents numerical programs for specific applications in engineering, with special topics including grease-lubricated bearings and gas bearings
* Equips those working in tribology and those new to the topic with the fundamental tools of calculation
* Downloadable programs are available at the companion website
With an emphasis on clear explanations, the text offers a thorough understanding of the numerical calculation of lubrication for graduate students on tribology and engineering mechanics courses, with more detailed materials suitable for engineers. This is an accessible reference for senior undergraduate students of tribology and researchers in thin-film fluid mechanics.
List of contents
Preface xv
Part 1 NUMERICAL METHOD FOR REYNOLDS EQUATION 1
1 Reynolds Equation and its Discrete Form 3
1.1 General Reynolds Equation and Its Boundary Conditions 3
1.1.1 Reynolds Equation 3
1.1.2 Definite Condition 3
1.1.3 Computation of Lubrication Performances 5
1.2 Reynolds Equations for Some Special Working Conditions 6
1.2.1 Slider and Thrust Bearing 6
1.2.2 Journal Bearing 7
1.2.3 Hydrostatic Lubrication 8
1.2.4 Squeeze Bearing 9
1.2.5 Dynamic Bearing 9
1.2.6 Gas Bearing 10
1.3 Finite Difference Method of Reynolds Equation 10
1.3.1 Discretization of Equation 11
1.3.2 Difference Form of Reynolds Equation 12
1.3.3 Iteration of Differential Equation 13
1.3.4 Iteration Convergence Condition 13
2 Numerical Method and Program for Incompressible and Steady Lubrication of One-dimensional Slider 17
2.1 Basic Equations 17
2.1.1 Reynolds Equation 17
2.1.2 Boundary Conditions 18
2.1.3 Continuity Equation 18
2.2 Numerical Method for Incompressible and Steady Lubrication of One-dimensional Slider 18
2.2.1 Discrete Reynolds Equation 19
2.3 Calculation Program for Incompressible and Steady Lubrication of One-dimensional Slider 20
2.3.1 Introduction 20
2.3.2 Calculation Diagram 21
2.3.3 Calculation Program 21
2.3.4 Calculation Results 24
3 Numerical Method and Program for Incompressible and Steady Lubrication of Two-dimensional Slider 25
3.1 Basic Equations 25
3.2 Discrete Reynolds Equation 26
3.3 Calculation Program for Incompressible and Steady Lubrication of Two-dimensional Slider 27
3.3.1 Introduction 27
3.3.2 Calculation Diagram 27
3.3.3 Calculation Program 28
3.3.4 Calculation Results 31
4 Numerical Method and Program for Incompressible and Steady Lubrication of Journal Bearing 33
4.1 Basic Equations 33
4.1.1 Axis Position and Clearance Shape 33
4.1.2 Reynolds Equation 34
4.2 Numerical Method for Incompressible and Steady Lubrication of Journal Bearing 35
4.2.1 Dimensionless Reynolds Equation 35
4.2.2 Discrete Form of Reynolds Equation 36
4.3 Calculation Program for Incompressible and Steady Lubrication of Journal Bearing 37
4.3.1 Calculation Diagram 37
4.3.2 Calculation Program 38
4.3.3 Calculation Results 40
5 Numerical Method and Program for Incompressible Squeeze Lubrication 41
5.1 Basic Equation 41
5.2 Numerical Method and Program for Rectangular Plane Squeeze 42
5.2.1 Basic Equations 42
5.2.2 Numerical Method 42
5.2.3 Calculation Diagram 43
5.2.4 Calculation Program 44
5.2.5 Calculation Results 47
5.3 Numerical Method and Program for Disc Squeeze 47
5.3.1 Basic Equations 47
5.3.2 Numerical Method 48
5.3.3 Calculation Diagram 48
5.3.4 Calculation Program 49
5.3.5 Calculation Results 52
5.4 Numerical Method and Program for Journal Bearing Squeeze 52
5.4.1 Basic Equations 52
5.4.2 Numerical Method 54
5.4.3 Calculation Diagram 54
5.4.4 Calculation Program 55
5.4.5 Calculation Results 60
6 Numerical Method and Program for Dynamic Bearing 61
6.1 Basic Equations 61
6.2 Numerical Method for Trace of Journal Center 65
6.2.1 Introduction 65
6.2.2 Calculation Steps 66
6.3 Calculati
About the author
Ping Huang, South China University of Technology, Guangzhou, China
Summary
This book describes basic lubrication problems and specific engineering applications. It focuses on the Reynolds equation, illustrating solutions with different conditions and discrete forms, such as dynamic bearing or grease lubrication.
