Book contents
- Frontmatter
- Contents
- Preface to the Second Edition
- Preface to the First Edition
- Chapter 1 Introduction
- CHAPTER 2 Basic Equations
- CHAPTER 3 Thick-Film Lubrication
- CHAPTER 4 Dynamic Properties of Lubricant Films
- CHAPTER 5 Effects of Fluid Inertia
- CHAPTER 6 Flow Stability and Transition
- CHAPTER 7 Turbulence
- CHAPTER 8 Elastohydrodynamic Lubrication
- CHAPTER 9 Thermal Effects
- CHAPTER 10 Lubrication with Non-Newtonian Fluids
- CHAPTER 11 Gas Lubrication
- CHAPTER 12 Molecularly Thin Films
- CHAPTER 13 Biotribology
- Index
- References
CHAPTER 12 - Molecularly Thin Films
Published online by Cambridge University Press: 05 June 2012
Book contents
- Frontmatter
- Contents
- Preface to the Second Edition
- Preface to the First Edition
- Chapter 1 Introduction
- CHAPTER 2 Basic Equations
- CHAPTER 3 Thick-Film Lubrication
- CHAPTER 4 Dynamic Properties of Lubricant Films
- CHAPTER 5 Effects of Fluid Inertia
- CHAPTER 6 Flow Stability and Transition
- CHAPTER 7 Turbulence
- CHAPTER 8 Elastohydrodynamic Lubrication
- CHAPTER 9 Thermal Effects
- CHAPTER 10 Lubrication with Non-Newtonian Fluids
- CHAPTER 11 Gas Lubrication
- CHAPTER 12 Molecularly Thin Films
- CHAPTER 13 Biotribology
- Index
- References
Summary
Although the lubrication approximation has been derived for thin films, there is, nevertheless, a thin film limit to its validity. When the characteristic dimensions of the fluid-containing device approach the mean free path (for gases) or the dimension of the molecules (for liquids) the continuum assumption, one of the basic assumptions of the approximation, breaks down. In such cases the Reynolds equation must be amended or replaced by other mathematical systems.
We have two distinct models at our disposal for representing fluids, continuum and particle. While the latter is valid under the whole range of conditions, though its use is limited by practical considerations, the continuum model applies only with restrictions. The equations that are available for fluid characterization, and how they relate to the two models, are shown in Table 12.1 (Gad-el-Hak, 1999).
- Type
- Chapter
- Information
- Fluid Film Lubrication , pp. 466 - 510Publisher: Cambridge University PressPrint publication year: 2010
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