Hydrodynamic Lubrication of Non-Newtonian Fluids

Hydrodynamic Lubrication of Non-Newtonian Fluids

1st Edition - September 1, 2022

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  • Authors: Ping Huang, Qianqian Yang
  • Paperback ISBN: 9780323994774

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Description

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. Consequently there is a need for feasible methods and solution for non-Newtonian fluids. Hydrodynamic Lubrication of non-Newtonian Fluids presents a unified solution to hydrodynamic lubrication in non-Newtonian fluids, proposing a flow separation method. In addition, the title gives methods and insight into viscosity in non-Newtonian fluids, the lubrication failure mechanism and fluid lubrication mechanism carrying capacity. The book offers a comprehensive reference solution for hydrodynamic lubrication in non-Newtonian fluids. Hydrodynamic Lubrication of Non-Newtonian Fluids presents, in twelve chapters, a solution to hydrodynamic lubrication. Three parts cover basic theory, lubrication failure, and numerical methods and procedures. Engineers and technicians working on non-Newtonian fluid lubrication calculation and analysis will find an invaluable reference to the latest thinking on hydrodynamic lubrication. This title offers a feasible method for solving the hydrodynamic lubrication problem for non-Newtonian fluids.

Key Features

  • Offers a solution to hydrodynamic lubrication in non-Newtonian fluids
  • Provides a new separation method and sets up an integral differential equation towards a unified method
  • Provides insight 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

  • No. of pages: 250
  • Language: English
  • Copyright: © Elsevier 2022
  • Published: September 1, 2022
  • Imprint: Elsevier
  • Paperback ISBN: 9780323994774

About the Authors

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

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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