Ping Huang

Numerical Calculation of Lubrication

Methods and Programs

• Gebundenes Buch

Produktbeschreibung

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. Thermal fluid lubrication problems are addressed by combining the Reynolds and energy equation solution, while the topic of elastohydrodynamic lubrication illustrates a combination of programs, join solution methods, and the Reynolds equation. Additional programs address lubrication for different parts with specific design, such as the magnetic hard disk/head and its steady-state design.

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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.

Produktdetails

• Verlag: Wiley & Sons
• 1. Auflage
• Seitenzahl: 450
• Erscheinungstermin: 14. Oktober 2013
• Englisch
• Abmessung: 244mm x 170mm x 23mm
• Gewicht: 757g
• ISBN-13: 9781118451199
• ISBN-10: 1118451198
• Artikelnr.: 36905459

Autorenporträt

Ping Huang, South China University of Technology, Guangzhou, China

Inhaltsangabe

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 Calculation Program for
Dynamic Journal Bearing 67 6.3.1 Introduction 67 6.3.2 Calculation Diagram
67 6.3.3 Calculation Program 68 6.3.4 Calculation Results 82 7 Numerical
Method and Program for Gas Lubrication 85 7.1 Basic Equations 85 7.1.1
General Reynolds Equation of Gas Lubrication 85 7.2 Numerical Method of Gas
Lubrication 86 7.2.1 Basic Equations of Steady and Isothermal Gas
Lubrication 86 7.2.2 Numerical Method 87 7.3 Calculation Program for Gas
Lubrication 88 7.3.1 Calculation Program and Solutions of One-Dimensional
Gas Lubrication 88 7.3.2 Numerical Program and Solutions of Two-Dimensional
Gas Lubrication 91 7.3.3 Numerical Program and Solutions of Journal Bearing
Gas Lubrication 94 8 Numerical Method and Program for Rarefied Gas
Lubrication 97 8.1 Basic Equations 97 8.2 Numerical Method of Rarefied Gas
Lubrication 99 8.2.1 Rarefied Gas Lubrication Model 99 8.2.2 Treatment of
the Ultra-Thin Gas Film Lubrication Equation 100 8.3 Discretization and
Iteration of Modified Reynolds Equation 101 8.3.1 Discrete Equation 101
8.3.2 Iteration Method 101 8.4 Calculation Program for Rarefied Gas
Lubrication of Slider 102 8.4.1 Procedures Introduction 102 8.4.2
Calculation Diagram 102 8.4.3 Calculation Program 102 8.4.4 Calculation
Results 106 9 Numerical Method and Program for One-dimensional Grease
Lubrication 107 9.1 Basic Equations 107 9.1.1 Introduction 107 9.1.2
Constitutive Equations of Grease 108 9.1.3 Reynolds Equation 109 9.2
Numerical Method of One-Dimensional Grease Lubrication 109 9.3 Calculation
Program of One-Dimensional Grease Lubrication 110 9.3.1 Calculation Diagram
110 9.3.2 Calculation Program 111 9.3.3 Calculation Results 113 Part 2
NUMERICAL METHOD FOR ENERGY EQUATION 115 10 Energy Equation and its
Discrete Form 117 10.1 Basic Equations 117 10.1.1 Simplified Energy
Equation 118 10.1.2 Boundary Conditions 118 10.1.3 Numerical Method 119
10.2 Influence of Temperature on Lubricant Performance 120 10.2.1
Viscosity-Temperature Equation 120 10.2.2 Density-Temperature Equation 120
10.3 Numerical Method for Thermal Hydrodynamic Lubrication 121 10.3.1
Methods and Program for One-dimensional Thermal Hydrodynamic Lubrication
121 10.3.2 Numerical Method and Program for Two-dimensional Thermal
Hydrodynamic Lubrication 124 11 Numerical Method and Program for
Incompressible and Steady Thermal Hydrodynamic Lubrication of Journal
Bearing 131 11.1 Basic Equations 131 11.1.1 Reynolds Equation 131 11.1.2
Energy Equation 132 11.1.3 Viscosity-Temperature Equation 132 11.2
Numerical Method 132 11.2.1 Discrete Reynolds Equation 132 11.2.2 Discrete
Energy Equation 133 11.2.3 Temperature-Viscosity Equation 133 11.3
Calculation Program 133 11.3.1 Calculation Diagram 133 11.3.2 Calculation
Program 134 11.3.3 Calculation Results 138 Part 3 NUMERICAL METHOD FOR
ELASTIC DEFORMATION AND THERMAL ELASTOHYDRODYNAMIC LUBRICATION 141 12
Numerical Method and Program for Elastic Deformation and Viscosity-Pressure
Equation 143 12.1 Basic Equations of Elastic Deformation 143 12.1.1 Film
Thickness Equation 143 12.1.2 Elastic Deformation Equation 143 12.2
Numerical Methods and Programs of Elastic Deformation 145 12.2.1 Numerical
Method and Program of Elastic Deformation Equation in Line Contact 145
12.2.2 Numerical Method and Program of Elastic Deformation Equation in
Point Contact 148 12.3 Viscosity-Pressure and Density-Pressure Equations
155 12.3.1 Viscosity-Pressure Relationship 155 12.3.2
Viscosity-Pressure-Temperature Relationship 156 12.3.3 Density-Pressure
Relationship 156 13 Numerical Method and Program for EHL in Line Contact
159 13.1 Basic Equations 159 13.2 Numerical Method 160 13.2.1 Dimensionless
Equations 160 13.2.2 Discrete Equations 161 13.2.3 Iterative Method 162
13.2.4 Selection of Iterative Methods 163 13.2.5 Relaxation Factors 164
13.3 Calculation Program 164 13.3.1 Calculation Diagram 164 13.3.2
Calculation Program 165 13.3.3 Calculation Results 171 14 Numerical Method
and Program for EHL in Point Contact 173 14.1 Basic Equations 173 14.2
Numerical Method 174 14.2.1 Dimensionless Equations 174 14.2.2 Discrete
Equations 175 14.3 Calculation Program 176 14.3.1 Calculation Diagram 176
14.3.2 Calculation Program 177 14.3.3 Calculation Results 186 15 Numerical
Method and Program for Grease EHL in Line Contact 187 15.1 Basic Equations
187 15.1.1 Reynolds Equation 187 15.1.2 Film Thickness Equation 187 15.1.3
Viscosity-Pressure Equation 188 15.1.4 Density-Pressure Equation 188 15.2
Numerical Method 188 15.2.1 Dimensionless Equations 188 15.2.2 Discrete
Equations 189 15.3 Calculation Program 189 15.3.1 Calculating Diagram 189
15.3.2 Calculation Program 190 15.3.3 Calculation Results 199 16 Numerical
Method and Program for Grease EHL in Point Contact 201 16.1 Basic Equations
201 16.1.1 Reynolds Equation 201 16.1.2 Film Thickness Equation 201 16.1.3
Elastic Deformation Equation 202 16.1.4 Viscosity-Pressure Equation 202
16.1.5 Density Equation 202 16.2 Numerical Method 202 16.2.1 Dimensionless
Equations 202 16.2.2 Discrete Equations 203 16.3 Calculation Program 204
16.3.1 Calculation Diagram 204 16.3.2 Calculation Program 205 16.3.3
Calculation Results 214 17 Numerical Method and Program for Thermal EHL in
Line Contact 215 17.1 Basic Equations 215 17.1.1 Reynolds Equation 215
17.1.2 Energy Equation 215 17.1.3 Film Thickness Equation 216 17.1.4
Elastic Deformation Equation 216 17.1.5 Roelands
Viscosity-Pressure-Temperature Equation 216 17.1.6
Density-Pressure-Temperature Equation 217 17.2 Numerical Method 217 17.2.1
Dimensionless Equations 217 17.2.2 Discrete Equations 218 17.3 Calculation
Program 220 17.3.1 Calculation Diagram of Multigrid Method 220 17.3.2
Calculation Diagram of Temperature 221 17.3.3 Calculation Program 222
17.3.4 Calculation Results 236 18 Numerical Method and Program for Thermal
EHL in Point Contact 237 18.1 Basic Equations 237 18.1.1 Reynolds Equation
237 18.1.2 Energy Equation 237 18.1.3 Film Thickness Equation 238 18.1.4
Elastic Deformation Equation 238 18.1.5 Roelands
Viscosity-Pressure-Temperature Equation 239 18.1.6
Density-Pressure-Temperature Equation 239 18.2 Numerical Method 239 18.2.1
Dimensionless Equations 239 18.2.2 Discrete Equations 241 18.3 Calculation
Program 242 18.3.1 Calculation Diagram 242 18.3.2 Calculation Program 242
18.3.3 Calculation Results 261 19 Numerical Method and Program for Thermal
Grease EHL in Line Contact 263 19.1 Basic Equations 263 19.1.1 Reynolds
Equation 263 19.1.2 Energy Equation 264 19.1.3 Film Thickness Equation 264
19.1.4 Elastic Deformation Equation 265 19.1.5
Viscosity-Pressure-Temperature Equation 265 19.1.6
Density-Pressure-Temperature Equation 265 19.2 Numerical Method 265 19.2.1
Dimensionless Equations 265 19.2.2 Discrete Equations 267 19.3 Calculation
Program 268 19.3.1 Calculation Diagram 268 19.3.2 Calculation Program 268
19.3.3 Calculation Results 287 20 Numerical Method and Program for Thermal
Grease EHL in Point Contact 289 20.1 Basic Equations 289 20.1.1 Reynolds
Equation 289 20.1.2 Energy Equation 290 20.1.3 Film Thickness Equation 290
20.1.4 Elastic Deformation Equation 291 20.1.5 Roelands
Viscosity-Pressure-Temperature Equation 291 20.1.6
Density-Pressure-Temperature Equation 291 20.2 Numerical Method 291 20.2.1
Dimensionless Equations 291 20.2.2 Discrete Equations 293 20.3 Calculation
Program 294 20.3.1 Calculation Diagram 294 20.3.2 Calculation Program 295
20.3.3 Calculation Results 310 Part 4 CALCULATION PROGRAMS FOR LUBRICATION
ANALYSIS IN ENGINEERING 311 21 Lubrication Calculation Program for
Herringbone Grooved Journal Bearing of Micro Motor 313 21.1 Basic Theory of
Lubrication Calculation of Herringbone Groove Bearing 313 21.1.1 Journal
Center Position and Film Thickness 313 21.1.2 Reynolds Equation 314 21.1.3
Boundary Conditions 315 21.1.4 Flux Calculation 316 21.1.5 Temperature
Calculation 316 21.2 Program for Performance Calculation 318 21.2.1
Lubrication Performances 318 21.2.2 Calculation Program 318 21.3
Calculation Results 326 21.4 Instruction for HBFA Software Package 332
21.4.1 Package Contents 332 21.4.2 Program Installation 332 21.4.3 Program
Operation 333 22 Lubrication Optimization Program of Herringbone Grooved
Journal Bearing of Micro Motor 337 22.1 Method of Optimization Calculation
337 22.1.1 Requirements of Parameter Optimization 337 22.1.2 Optimization
Model 337 22.1.3 Optimization Methods and Steps 338 22.2 Program Layout of
Optimization Calculation 338 22.2.1 Optimization Program Diagram 338 22.2.2
Calculation Program 339 22.2.3 Parameters in Program 352 22.3 Optimization
Calculation Examples 352 22.3.1 Example 1: Optimization Calculation for
Static Load 352 22.3.2 Example 2: Optimization Calculation for Static Flux
(Eccentricity Ratio e is Constant) 354 22.3.3 Example 3: Optimization
Calculation for Static Flux (Load W is Constant) 354 22.3.4 Example 4:
Optimization Calculation for Dynamic Load 354 22.3.5 Example 5:
Optimization Calculation for Dynamic Flux (Eccentricity e is Constant) 354
22.3.6 Example 6: Optimization Calculation for Dynamic Flux (Load W is
Constant) 355 22.4 Instructions for HBOA Software Package 355 22.4.1
Program Package 355 22.4.2 Program Execution 356 23 Calculation Program for
Gas Lubrication of Hard Disk/Head in Ultra Thin Film 361 23.1 Basic
Equations of Gas Lubricating Film of Hard Disk/Head 361 23.1.1 Basic
Equations 361 23.1.2 Gas Film Thickness 362 23.1.3 Poiseuille Flow Rate 362
23.2 Discrete Equation and Special Treatments 363 23.2.1 Iterative Scheme
Considering High Bearing Numbers 363 23.2.2 Abrupt Changes between Steps on
ABS 364 23.3 Calculation Program 364 23.3.1 Calculation Diagram 364 23.3.2
Calculation Program 366 23.3.3 Calculation Results 371 24 Calculation
Program of Flight Attitude of Magnetic Head 373 24.1 Search Strategy for
Flight Attitude 373 24.2 Calculation Program 375 24.2.1 Program
Introduction 375 24.2.2 Calculation Diagram 376 24.2.3 Calculation Program
376 24.2.4 Calculation Results 386 References 389 Index 391