Book contents
- Frontmatter
- Contents
- Preface
- List of Abbreviations
- 1 Introduction
- 2 Historical notes
- 3 Boundary conditions for viscous fluids
- 4 Helmholtz decomposition coupling rotational to irrotational flow
- 5 Harmonic functions that give rise to vorticity
- 6 Radial motions of a spherical gas bubble in a viscous liquid
- 7 Rise velocity of a spherical cap bubble
- 8 Ellipsoidal model of the rise of a Taylor bubble in a round tube
- 9 Rayleigh–Taylor instability of viscous fluids
- 10 The force on a cylinder near a wall in viscous potential flows
- 11 Kelvin–Helmholtz instability
- 12 Energy equation for irrotational theories of gas–liquid flow: viscous potential flow, viscous potential flow with pressure correction, and dissipation method
- 13 Rising bubbles
- 14 Purely irrotational theories of the effect of viscosity on the decay of waves
- 15 Irrotational Faraday waves on a viscous fluid
- 16 Stability of a liquid jet into incompressible gases and liquids
- 17 Stress-induced cavitation
- 18 Viscous effects of the irrotational flow outside boundary layers on rigid solids
- 19 Irrotational flows that satisfy the compressible Navier–Stokes equations
- 20 Irrotational flows of viscoelastic fluids
- 21 Purely irrotational theories of stability of viscoelastic fluids
- 22 Numerical methods for irrotational flows of viscous fluid
- Appendix A Equations of motion and strain rates for rotational and irrotational flow in Cartesian, cylindrical, and spherical coordinates
- Appendix B List of frequently used symbols and concepts
- References
- Index
5 - Harmonic functions that give rise to vorticity
Published online by Cambridge University Press: 09 October 2009
Book contents
- Frontmatter
- Contents
- Preface
- List of Abbreviations
- 1 Introduction
- 2 Historical notes
- 3 Boundary conditions for viscous fluids
- 4 Helmholtz decomposition coupling rotational to irrotational flow
- 5 Harmonic functions that give rise to vorticity
- 6 Radial motions of a spherical gas bubble in a viscous liquid
- 7 Rise velocity of a spherical cap bubble
- 8 Ellipsoidal model of the rise of a Taylor bubble in a round tube
- 9 Rayleigh–Taylor instability of viscous fluids
- 10 The force on a cylinder near a wall in viscous potential flows
- 11 Kelvin–Helmholtz instability
- 12 Energy equation for irrotational theories of gas–liquid flow: viscous potential flow, viscous potential flow with pressure correction, and dissipation method
- 13 Rising bubbles
- 14 Purely irrotational theories of the effect of viscosity on the decay of waves
- 15 Irrotational Faraday waves on a viscous fluid
- 16 Stability of a liquid jet into incompressible gases and liquids
- 17 Stress-induced cavitation
- 18 Viscous effects of the irrotational flow outside boundary layers on rigid solids
- 19 Irrotational flows that satisfy the compressible Navier–Stokes equations
- 20 Irrotational flows of viscoelastic fluids
- 21 Purely irrotational theories of stability of viscoelastic fluids
- 22 Numerical methods for irrotational flows of viscous fluid
- Appendix A Equations of motion and strain rates for rotational and irrotational flow in Cartesian, cylindrical, and spherical coordinates
- Appendix B List of frequently used symbols and concepts
- References
- Index
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- Potential Flows of Viscous and Viscoelastic Liquids , pp. 35 - 38Publisher: Cambridge University PressPrint publication year: 2007