Numerical Calculation of Lubrication E-Book

Ping Huang

• Herausgeber: John Wiley & Sons
• Kategorie: Fachliteratur
• Sprache: Englisch

Seitenzahl: 194

Veröffentlichungsjahr: 2013

Beschreibung

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.

Leseprobe

Contents

Cover

Title Page

Copyright

Preface

Part One: Numerical Method for Reynolds Equation

Chapter 1: Reynolds Equation and its Discrete Form

1.1 General Reynolds Equation and Its Boundary Conditions

1.2 Reynolds Equations for Some Special Working Conditions

1.3 Finite Difference Method of Reynolds Equation

Chapter 2: Numerical Method and Program for Incompressible and Steady Lubrication of One-dimensional Slider

2.1 Basic Equations

2.2 Numerical Method for Incompressible and Steady Lubrication of One-dimensional Slider

2.3 Calculation Program for Incompressible and Steady Lubrication of One-dimensional Slider

Chapter 3: Numerical Method and Program for Incompressible and Steady Lubrication of Two-dimensional Slider

3.1 Basic Equations

3.2 Discrete Reynolds Equation

3.3 Calculation Program for Incompressible and Steady Lubrication of Two-dimensional Slider

Chapter 4: Numerical Method and Program for Incompressible and Steady Lubrication of Journal Bearing

4.1 Basic Equations

4.2 Numerical Method for Incompressible and Steady Lubrication of Journal Bearing

4.3 Calculation Program for Incompressible and Steady Lubrication of Journal Bearing

Chapter 5: Numerical Method and Program for Incompressible Squeeze Lubrication

5.1 Basic Equation

5.2 Numerical Method and Program for Rectangular Plane Squeeze

5.3 Numerical Method and Program for Disc Squeeze

5.4 Numerical Method and Program for Journal Bearing Squeeze

Chapter 6: Numerical Method and Program for Dynamic Bearing

6.1 Basic Equations

6.2 Numerical Method for Trace of Journal Center

6.3 Calculation Program for Dynamic Journal Bearing

Chapter 7: Numerical Method and Program for Gas Lubrication

7.1 Basic Equations

7.2 Numerical Method of Gas Lubrication

7.3 Calculation Program for Gas Lubrication

Chapter 8: Numerical Method and Program for Rarefied Gas Lubrication

8.1 Basic Equations

8.2 Numerical Method of Rarefied Gas Lubrication

8.3 Discretization and Iteration of Modified Reynolds Equation

8.4 Calculation Program for Rarefied Gas Lubrication of Slider

Chapter 9: Numerical Method and Program for One-dimensional Grease Lubrication

9.1 Basic Equations

9.2 Numerical Method of One-Dimensional Grease Lubrication

9.3 Calculation Program of One-Dimensional Grease Lubrication

Part Two: Numerical Method for Energy Equation

Chapter 10: Energy Equation and its Discrete Form

10.1 Basic Equations

10.2 Influence of Temperature on Lubricant Performance

10.3 Numerical Method for Thermal Hydrodynamic Lubrication

Chapter 11: Numerical Method and Program for Incompressible and Steady Thermal Hydrodynamic Lubrication of Journal Bearing

11.1 Basic Equations

11.2 Numerical Method

11.3 Calculation Program

Part Three: Numerical Method for Elastic Deformation and Thermal Elastohydrodynamic Lubrication

Chapter 12: Numerical Method and Program for Elastic Deformation and Viscosity–Pressure Equation

12.1 Basic Equations of Elastic Deformation

12.2 Numerical Methods and Programs of Elastic Deformation

12.3 Viscosity–Pressure and Density–Pressure Equations

Chapter 13: Numerical Method and Program for EHL in Line Contact

13.1 Basic Equations

13.2 Numerical Method

13.3 Calculation Program

Chapter 14: Numerical Method and Program for EHL in Point Contact

14.1 Basic Equations

14.2 Numerical Method

14.3 Calculation Program

Chapter 15: Numerical Method and Program for Grease EHL in Line Contact

15.1 Basic Equations

15.2 Numerical Method

15.3 Calculation Program

Chapter 16: Numerical Method and Program for Grease EHL in Point Contact

16.1 Basic Equations

16.2 Numerical Method

16.3 Calculation Program

Chapter 17: Numerical Method and Program for Thermal EHL in Line Contact

17.1 Basic Equations

17.2 Numerical Method

17.3 Calculation Program

Chapter 18: Numerical Method and Program for Thermal EHL in Point Contact

18.1 Basic Equations

18.2 Numerical Method

18.3 Calculation Program

Chapter 19: Numerical Method and Program for Thermal Grease EHL in Line Contact

19.1 Basic Equations

19.2 Numerical Method

19.3 Calculation Program

Chapter 20: Numerical Method and Program for Thermal Grease EHL in Point Contact

20.1 Basic Equations

20.2 Numerical Method

20.3 Calculation Program

Part Four: Calculation Programs for Lubrication Analysis in Engineering

Chapter 21: Lubrication Calculation Program for Herringbone Grooved Journal Bearing of Micro Motor

21.1 Basic Theory of Lubrication Calculation of Herringbone Groove Bearing

21.2 Program for Performance Calculation

21.3 Calculation Results

21.4 Instruction for HBFA Software Package

Chapter 22: Lubrication Optimization Program of Herringbone Grooved Journal Bearing of Micro Motor

22.1 Method of Optimization Calculation

22.2 Program Layout of Optimization Calculation

22.3 Optimization Calculation Examples

22.4 Instructions for HBOA Software Package

Chapter 23: Calculation Program for Gas Lubrication of Hard Disk/Head in Ultra Thin Film

23.1 Basic Equations of Gas Lubricating Film of Hard Disk/Head

23.2 Discrete Equation and Special Treatments

23.3 Calculation Program

Chapter 24: Calculation Program of Flight Attitude of Magnetic Head

24.1 Search Strategy for Flight Attitude

24.2 Calculation Program

References

Index

This edition first published 2013

© 2013 Tsinghua University Press. All rights reserved.

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Library of Congress Cataloging-in-Publication Data

Huang, Ping, 1957-

Numerical calculation of lubrication : methods and programs / Huang Ping.

pages cm

Includes bibliographical references and index.

ISBN 978-1-118-45119-9 (cloth)

1. Lubrication and lubricants—Mathematical models. I. Title.

TJ1077.H92 2013

621.8′9—dc23

2013014001

Preface

Lubrication calculation is the most successful area of tribology, using mathematical methods to obtain numerical solutions. Due to the development of computer science in the recent half a century, it has made remarkable achievements.

However, most books on tribology mainly introduce theories or calculation methods of lubrication. They rarely give and discuss numerical calculation programs. Not only is this inconvenient for research or the production of practical lubrication, but also many similar programming tasks have to be carried out repeatedly. Furthermore, because of the limitations of lubrication theory, some numerical calculation programs may give mistaken solutions, leading to wrong conclusions.

This book is different from previous theoretical books or monographs on lubrication; it mainly introduces the numerical calculation programs of lubrication. This is the main feature of the book. Some of the programs have been used for many years in lubrication calculations and research by the author.

Due to the complexity of lubrication problems, the book mainly focuses on how to numerically solve the Reynolds equation, energy equation, elastic deformation equation and their combinations. The analyzed lubrication problems include line, surface and point contacts, which correspond to thrust bearings, journal bearings and rolling contact bearings. Furthermore, the working conditions include incompressible, compressible, nonthermal, thermal, isoviscosity, variable viscosity, Newtonian fluid, non-Newtonian fluid (only grease), rigid and elastic deformation situations.

The book is divided into four parts, covering 24 chapters:

The first part (Chapters 1–9) is about the solution of the Reynolds equation, which is the basic technique for the numerical analysis of lubrication. The contents include the boundary and connection conditions of the Reynolds equation, discretizing the Reynolds equation, numerical methods and programs of slider lubrication, numerical methods and programs of journal bearing lubrication, numerical methods and programs of dynamic bearing lubrication, numerical methods and programs of gas lubrication (especial magnetic hard disk/head) and so on. In this part, we also discuss the rheology of lubricants. As an example, grease lubrication is discussed, which is a kind of non-Newtonian fluid.

The second part of the book (Chapters 10 and 11) is on temperature calculation. First, we give a discrete form of the energy equation and the temperature–viscosity equation. Then, combining the Reynolds equation and the energy equation, we give numerical methods and programs of thermal hydrodynamic lubrication.

Elastohydrodynamic lubrication (EHL) is a difficult topic in lubrication calculation, because of its poor convergence. In the third part (Chapters 12–20), calculations of elastic deformation equations for line and point contacts are given first. Then, combined with the Reynolds equation, the pressure–viscosity equation and the elastic deformation equation, calculation programs of EHL are introduced in detail. Furthermore, combined with the energy equation, numerical methods and programs of thermal EHL are given. We also give numerical methods and programs of EHL and thermal EHL for grease in this part, and we consider the rheological effect.

Finally, in the last part of the book (Chapters 21–24), we introduce some programs developed for practical lubrication design. These programs include a lubrication calculation package and its optimized design package for the herringbone groove bearing of a micro motor and a calculation program and balancing attitude program of ultra thin gas lubrication for magnetic hard disk/head design. Because these packages and programs have some special requirements, pre-treatment and post-treatment have been added for easy usage in engineering. Although the basic theories of these contents are introduced at the front of the book, more details about the function and usages of the packages and programs can be found on the Wiley Companion Website: www.wiley.com/go/huang/lubrication.

The reason why we provide all source codes and an attached source code disc for all the programs is that most users need not repeat programming tasks even if they have well mastered the principles of lubrication. Especially, those who are not familiar with lubrication analysis can directly use the programs to carry out lubrication calculation. If some users have enough lubrication knowledge, they can use the programs or need only rewrite the pre-assignment or data sentences to input the different parameters to solve their own lubrication problems more easily. This will bring great convenience for researchers and technical staff in this field.

The book is mainly aimed at teachers, post-graduate students and doctoral students at colleges and universities. It can also be used as a reference book for technical personnel and research staff in engineering.

I would like to thank all of my post-graduate students who participated in the program writing and debugging and the book writing. Among them, I thank Li Ping for Chapters 2 and 3, Sun Zhonghua for Chapters 5 and 6, Niu Rongjun for Chapter 8, Wang Qiliang, Glenn and Liu Ping for Chapters 10 and 11, Wang Yazhen for Chapters 12–14, Yu Mei for Chapters 15 and 19, Lai Tianmao for Chapters 16 and 20, Yao Huaping for Chapters 21 and 22, and Wang Hongzhi for Chapters 23 and 24.

Ping Huang

South China University of Technology

31 August, 2012

Part One

Numerical Method for Reynolds Equation