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Hydrodynamic Lubrication of Non-Newtonian Fluids

  • 1st Edition - September 10, 2022
  • Latest edition
  • Authors: Ping Huang, Qianqian Yang
  • Language: English

Hydrodynamic Lubrication of Non-Newtonian Fluids covers basic theory, lubrication failure and numerical methods and procedures. The title offers a feasible method for solving t… Read more

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Description

Hydrodynamic Lubrication of Non-Newtonian Fluids covers basic theory, lubrication failure and numerical methods and procedures. The title offers a feasible method for solving the hydrodynamic lubrication problem for non-Newtonian fluids. Whereas hydrodynamic lubrication in Newtonian fluids can be solved using the existing Reynolds equation, hydrodynamic lubrication in non-Newtonian fluid is much more difficult to solve because the non-Newtonian constitutive equation is nonlinear. Engineers and technicians working on non-Newtonian fluid lubrication calculation and analysis will find this to be an invaluable reference on the latest thinking on hydrodynamic lubrication.

This book presents a unified solution to hydrodynamic lubrication in non-Newtonian fluids, proposing a flow separation method. In addition, the title gives methods and insights into viscosity in non-Newtonian fluids, the lubrication failure mechanism and fluid lubrication mechanism carrying capacity.

Key features

  • Offers a solution to hydrodynamic lubrication in non-Newtonian fluids
  • Covers a new separation method and sets up an integral differential equation towards a unified method
  • Provides insights into the viscosity of non-Newtonian fluids, putting forward incremental and full viscosity as important concepts
  • Analyzes the lubrication failure mechanism and fluid lubrication mechanism carrying capacity
  • Presents researchers with a way of calculating and analyzing fluid dynamic pressure lubrication, flap lubrication and hot-bounce lubrication of common non-Newtonian fluids

Readership

Researchers and post graduate students in mechanical engineering, especially tribology

Table of contents

Part I Basic theory
Chapter 1 Fluid viscosity

1.1 Introduction

1.2 Newtonian fluid viscosity

1.2.1 Definition of viscosity

1.2.2 Unit of viscosity

1.3 Rheological properties of non-Newtonian fluids

1.3.1 Types of non-Newtonian fluid

1.3.2 Viscosity of non-Newtonian fluid

1.4 Key influencing factors on viscosity

1.4.1 Relationship between viscosity and temperature

1.4.2 Relationship between viscosity and pressure

1.4.3 Viscosity changing with temperature and pressure

1.5 Commonly used testers of rheological property

1.5.1 Coaxial cylindrical rheometer

1.5.2 Cone-plate rheometer

1.5.3 Parallel plate rheometer

Chapter 2 Basic equations of hydrodynamic lubrication

2.1 Basic equations and assumptions

2.1.1 Basic equations

2.1.2 Basic assumptions

2.2 Continuous equation

2.3 Equilibrium equation

2.3.1 Expression of equilibrium equation

2.3.2 Derivation of equilibrium equation

2.4 Constitutive equation of fluid

2.4.1 Newtonian fluid constitutive equation

2.4.2 Non-Newtonian fluid constitutive equations

2.5 Boundary conditions of hydrodynamic lubrication equation

2.5.1 Boundary conditions of fluid-solid interface

2.5.2 Pressure boundary condition on lubrication zone

Chapter 3 Reynolds equation of hydrodynamic lubrication

3.1 Derivation process of Reynolds equation

3.1.1 Basic equations and analysis

3.1.2 Elimination of shear stress

3.1.3 Elimination of flows

3.2 General nonlinear problems

3.2.1 Linear problem

3.2.2 Non-linear problems

3.2.3 Lubrication problems of non-Newtonian fluid

3.3 Derivation of Reynolds equation of non-Newtonian fluid and its difficulties

3.3.1 Reynolds equation of Power fluid

3.3.2 Derivation difficulty of Reynolds equation of general non-Newtonian fluids

Chapter 4 Universal lubrication equation

4.1 Flow separation method

4.1.1 Basic principles of flow separation method

4.1.2 Steps to solve non-Newtonian hydrodynamic lubrication problem with flow separation method

4.1.3 Theoretical basis of flow separation method

4.2 Derivation of universal hydrodynamic lubrication equation

4.2.1 Derivation steps of universal hydrodynamic lubrication equation

4.2.2 Simplified universal hydrodynamic lubrication equations

4.2.3 Solution of universal hydrodynamic lubrication equation

4.3 Solution conditions of flow separation method

4.3.1 Flow separation method satisfies all equations

4.3.2Boundary conditions

4.4 Common non-Newtonian hydrodynamic lubrication equations

4.4.1 Power constitutive equation

4.4.2 Other commonly used non-Newtonian hydrodynamic lubrication equations

Part II Lubrication failure
Chapter 5 Analysis of lubrication failure of non-Newton fluid

5.1 Boundary slip under ultimate shear stress

5.1.1 Boundary slip phenomenon

5.1.2 Boundary slip conditions

5.1.3 Velocity distribution of slip zone

5.2 Analysis of the influence of fluid non-Newtonian on pure rolling

5.2.1 Sliding-roll ratio

5.2.2 Reynolds equation of pure rolling

5.2.3 Relationship between pressure gradient, shear stress and film thickness in pure rolling lubrication

5.2.4 Lubrication failure of non-Newtonian fluid under sliding

5.3 Friction coefficient of hydrodynamic lubrication under sliding

5.3.1 Stribeck curve and lubrication failure

5.3.2 Analysis of friction coefficient of hydrodynamic lubrication

5.3.3 Relationship between friction coefficient of hydrodynamic lubrication and lubrication failure

5.3.4 Friction and friction coefficient

Chapter 6 Analysis of hydrodynamic lubrication failure

6.1 Visco-plastic fluid

6.1.1 Constitutive equation of visco-plastic fluid

6.1.2 Basic equations of hydrodynamic lubrication of visco-plastic fluid

6.1.3 Lubrication failure analysis of visco-plastic fluid

6.2 Buckling fluid

6.2.1 Constitutive equation of buckling fluid

6.2.2 Basic equations of hydrodynamic lubrication of buckling fluid

6.2.3 Failure analysis of hydrodynamic lubrication of buckling fluid

6.3 Circular fluid

6.3.1 Constitutive equation of circular fluid

6.3.2 Basic equations of hydrodynamic lubrication of circular fluid

6.3.3 Failure analysis of hydrodynamic lubrication of circular fluid

Chapter 7 Experimental analysis of rheological properties of fluid

7.1 Testers of rheological property under high pressure

7.1.1 Double disc tester

7.1.2 Stamping tester

7.1.3 Shearing tester

7.1.4 Capillary tester

7.1.5 Pure shear tester

7.1.6 Impact shear tester

7.1.7 Impact extrusion tester

7.1.8 Falling order tester

7.2 Interface slip model and experiment

7.2.1 Slip length model

7.2.2 Limiting shear stress model

7.2.3 Interface slip measurement

7.2.4 Influence factors of interface slip

Part III Numerical methods and procedures
Chapter 8 Numerical calculation method and program for isothermal hydrodynamic lubrication

8.1 One dimensional isothermal hydrodynamic lubrication

8.1.1 Basic equation

8.1.2 Numerical method

8.1.3 Program

8.2 Two-dimensional isothermal hydrodynamic lubrication

8.2.1 Basic equation

8.2.2 Numerical method

8.2.3 Results

Chapter 9 Numerical calculation method and Results for isothermal elastohydrodynamic lubrication

9.1 Isothermal elastohydrodynamic lubrication in line contact

9.1.1 Basic equation

9.1.2 Numerical method

9.1.3 Results

9.2 Isothermal elastohydrodynamic lubrication in point contact

9.2.1 Basic equation

9.2.2 Numerical method

9.2.3 Results

Chapter 10 Thermal lubrication of non-Newtonian fluid

10.1 Flow separation method of thermal lubrication

10.1.1 Fluid velocity of non-Newtonian thermal lubrication

10.1.2 Reynolds equation of non-Newtonian thermal lubrication

10.2 Energy equation in thermal lubrication

10.2.1 Energy equation

10.2.2 Numerical calculation

10.2.3 Calculation diagram of temperature

10.3 Temperature calculation Results of hydrodynamic lubrication for Newtonian fluid

10.3.1 One-dimensional temperature calculation Results

10.3.2 Two-dimensional temperature calculation

Chapter 11 Numerical calculation method and Results for thermal hydrodynamic lubrication

11.1 One dimensional thermal hydrodynamic lubrication

11.1.1 Basic equation

11.1.2 Numerical method

11.1.3 Results

11.2 Two-dimensional thermal hydrodynamic lubrication

11.2.1 Basic equation

11.2.2 Numerical method

11.2.3 Results

Chapter 12 Numerical calculation method and Results for thermal elastohydrodynamic lubrication

12.1 Thermal elastohydrodynamic lubrication in line contact

12.1.1 Basic equation

12.1.2 Numerical method

12.1.3 Results

12.2 Thermal elastohydrodynamic lubrication in point contact

12.2.1 Basic equation

12.2.2 Numerical method

12.2.3 Results

Product details

  • Edition: 1
  • Latest edition
  • Published: September 13, 2022
  • Language: English

About the authors

PH

Ping Huang

Huang Ping is a Professor at the South China University of Technology. He has been awarded for his research and teaching. His work focusses on tribology and he has written several books on the topic in both Chinese and English.
Affiliations and expertise
Professor, South China University of Technology, China

QY

Qianqian Yang

Qianqian Yang received her B.S. degree in mechanical and electronic engineering and the Ph.D. degree in mechanical engineering from the South China University of Technology, Guangzhou, China, in 2011 and 2016, respectively. From 2016 to 2021, she was an Associate Professor with the School of Biomedical Engineering, Sun Yat-sen University, Guangzhou, China. Since 2021, she has been with the School of Mechatronic Engineering, Guangdong Polytechnic Normal University, Guangzhou, China. She is the author of one book and more than ten articles. Her research interests include lubrication numerical calculation and modeling, etc
Affiliations and expertise
School of Mechatronic Engineering, Guangdong Polytechnic Normal University, Guangzhou, China

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