Book contents
- frontmatter
- Dedication
- Contents
- Preface
- Acknowledgements
- Abbreviations
- 1 Formulating Geodynamic Model Problems: Three Case Studies
- 2 Dimensional and Scaling Analysis
- 3 Self-Similarity and Intermediate Asymptotics
- 4 Slow Viscous Flow
- 5 Elasticity and Viscoelasticity
- 6 Boundary-Layer Theory
- 7 Long-Wave Theories, 1: Lubrication Theory and Related Techniques
- 8 Long-Wave Theories, 2: Shells, Plates and Sheets
- 9 Theory of Two-Phase Flow
- 10 Hydrodynamic Stability and Thermal Convection
- 11 Convection in More Realistic Systems
- 12 Solutions to Exercises
- References
- Index
9 - Theory of Two-Phase Flow
Published online by Cambridge University Press: 20 September 2018
Book contents
- frontmatter
- Dedication
- Contents
- Preface
- Acknowledgements
- Abbreviations
- 1 Formulating Geodynamic Model Problems: Three Case Studies
- 2 Dimensional and Scaling Analysis
- 3 Self-Similarity and Intermediate Asymptotics
- 4 Slow Viscous Flow
- 5 Elasticity and Viscoelasticity
- 6 Boundary-Layer Theory
- 7 Long-Wave Theories, 1: Lubrication Theory and Related Techniques
- 8 Long-Wave Theories, 2: Shells, Plates and Sheets
- 9 Theory of Two-Phase Flow
- 10 Hydrodynamic Stability and Thermal Convection
- 11 Convection in More Realistic Systems
- 12 Solutions to Exercises
- References
- Index
Summary
Chapter 9 presents the theory of flow in media comprising two rheologically distinct phases, with particular application to partially molten rocks. The equations for conservation of mass, momentum and energy in partially molten systems are derived, and solved for two simple one-dimensional model problems (gravitational compaction and magma solitary waves).
- Type
- Chapter
- Information
- Theoretical Mantle Dynamics , pp. 175 - 191Publisher: Cambridge University PressPrint publication year: 2018