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
3 - Temporal Stability of Viscous Incompressible Flows
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 3 examines the stability of viscous flowsusing the Orr–Sommerfeld equation. In particular, the stability of channel flows, the Blasius boundary layer, and the Falkner–Skan family are examined. The chapter concludes with a discussion of the spectrum for unbounded flows.
Keywords
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- Theory and Computation in Hydrodynamic Stability , pp. 76 - 97Publisher: Cambridge University PressPrint publication year: 2018