Book contents
- Frontmatter
- Contents
- Preface
- List of Symbols
- 1 One-dimensional analysis
- 2 Flow regimes
- 3 Film flows
- 4 Inviscid waves
- 5 Stratified flow
- 6 Influence of viscosity on large Reynolds number interfacial waves; effect of spatially and temporally induced oscillations on a turbulent flow
- 7 Large-wavelength waves; integral equations
- 8 Bubble dynamics
- 9 Horizontal slug flow
- 10 Particle dispersion and deposition
- 11 Vertical annular flow
- 12 Horizontal annular flow
- Index
- References
1 - One-dimensional analysis
Published online by Cambridge University Press: 05 November 2013
- Frontmatter
- Contents
- Preface
- List of Symbols
- 1 One-dimensional analysis
- 2 Flow regimes
- 3 Film flows
- 4 Inviscid waves
- 5 Stratified flow
- 6 Influence of viscosity on large Reynolds number interfacial waves; effect of spatially and temporally induced oscillations on a turbulent flow
- 7 Large-wavelength waves; integral equations
- 8 Bubble dynamics
- 9 Horizontal slug flow
- 10 Particle dispersion and deposition
- 11 Vertical annular flow
- 12 Horizontal annular flow
- Index
- References
Summary
Introduction
The “simplest” models for gas–liquid flow systems are ones for which the velocity is uniform over a cross-section and unidirectional. This includes flows in a long straight pipe and steady flows in a nozzle.
A treatment of pipe flow with a constant cross-section is initiated by reviewing analyses of incompressible and compressible single-phase flows. A simple way to use these results is to describe gas–liquid flows with a homogeneous model that assumes the phases are uniformly distributed, that there is no slip between the phases and that the phases are in thermodynamic equilibrium. The volume fraction of the gas, α, is then directly related to the relative mass flows of the phases. However, the assumption of no slip, S = 1, can introduce considerable error. This has prompted a consideration of a separated flow model, where uniform flows of gas and liquid are pictured as moving parallel to one another with different velocities and to be in thermodynamic equilibrium.
- Type
- Chapter
- Information
- Physics of Gas-Liquid Flows , pp. 1 - 26Publisher: Cambridge University PressPrint publication year: 2013