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
1 - Introduction and Problem Formulation
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 1 introduces the basic concepts of hydrodynamic stability theory. The chapter begins with a discussion of the classical experiments of Reynolds, and moves the reader quickly through other examples of instability found in nature. The basic equations of motion and their linearization are then introduced, which sets the up the foundation for the rest of the book.
- Type
- Chapter
- Information
- Theory and Computation in Hydrodynamic Stability , pp. 1 - 25Publisher: Cambridge University PressPrint publication year: 2018