Book contents
- Frontmatter
- Contents
- Preface to the Second Edition
- Preface
- 1 Introduction and Problem Formulation
- 2 Temporal Stability of Inviscid Incompressible Flows
- 3 Temporal Stability of Viscous Incompressible Flows
- 4 Spatial Stability of Incompressible Flows
- 5 Stability of Compressible Flows
- 6 Centrifugal Stability
- 7 Geophysical Flow
- 8 Transient Dynamics
- 9 Nonlinear Stability
- 10 Transition and Receptivity
- 11 Direct Numerical Simulation
- 12 Flow Control and Optimization
- 13 Investigating Hydrodynamic Instabilities with Experiments
- Appendix A Mathematical Formulas
- Appendix B Numerical Methods
- Appendix C Solutions to Exercises
- References
- Author Index
- Subject Index
6 - Centrifugal Stability
Published online by Cambridge University Press: 22 November 2018
- Frontmatter
- Contents
- Preface to the Second Edition
- Preface
- 1 Introduction and Problem Formulation
- 2 Temporal Stability of Inviscid Incompressible Flows
- 3 Temporal Stability of Viscous Incompressible Flows
- 4 Spatial Stability of Incompressible Flows
- 5 Stability of Compressible Flows
- 6 Centrifugal Stability
- 7 Geophysical Flow
- 8 Transient Dynamics
- 9 Nonlinear Stability
- 10 Transition and Receptivity
- 11 Direct Numerical Simulation
- 12 Flow Control and Optimization
- 13 Investigating Hydrodynamic Instabilities with Experiments
- Appendix A Mathematical Formulas
- Appendix B Numerical Methods
- Appendix C Solutions to Exercises
- References
- Author Index
- Subject Index
Summary
Chapter 6 presents a discussion of instabilities in coordinate systems other than Cartesian. In this context, the Taylor problem, Görtler vortices, pipe flow, the rotating disk problem, the trailing vortex and the round jet are all presented. In each case the linearized disturbance equations are derived.
- Type
- Chapter
- Information
- Theory and Computation in Hydrodynamic Stability , pp. 168 - 190Publisher: Cambridge University PressPrint publication year: 2018