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
10 - Transition and Receptivity
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 10 discusses the breakdown of hydrodynamic instability theory and the transition from laminar to turbulent flow. This chapter will expose the reader to issues effecting hydrodynamic instabilities, as well as the nonlinear breakdown of modes after linear growth, ending with a summary of a condensed history of methods that have been used to predict loss of laminar flow and the onset of transition to turbulence.
- Type
- Chapter
- Information
- Theory and Computation in Hydrodynamic Stability , pp. 287 - 315Publisher: Cambridge University PressPrint publication year: 2018