Stability and Transition in Shear Flows
The field of hydrodynamic stability has a long history, going back to Rey nolds and Lord Rayleigh in the late 19th century. Because of its central role in many research efforts involving fluid flow, stability theory has grown into a mature discipline, firmly based on a large body of knowledge and a...
| Main Authors: | , |
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| Format: | eBook |
| Language: | English |
| Published: |
New York, NY
Springer New York
2001, 2001
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| Edition: | 1st ed. 2001 |
| Series: | Applied Mathematical Sciences
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- 1 Introduction and General Results
- 1.1 Introduction
- 1.2 Nonlinear Disturbance Equations
- 1.3 Definition of Stability and Critical Reynolds Numbers
- 1.4 The Reynolds-Orr Equation
- I Temporal Stability of Parallel Shear Flows
- 2 Linear Inviscid Analysis
- 3 Eigensolutions to the Viscous Problem
- 4 The Viscous Initial Value Problem
- 5 Nonlinear Stability
- II Stability of Complex Flows and Transition
- 6 Temporal Stability of Complex Flows
- 7 Growth of Disturbances in Space
- 8 Secondary Instability
- 9 Transition to Turbulence
- III Appendix
- A Numerical Issues and Computer Programs
- A.1 Global versus Local Methods
- A.2 Runge-Kutta Methods
- A.3 Chebyshev Expansions
- A.4 Infinite Domain and Continuous Spectrum
- A.5 Chebyshev Discretization of the Orr-Sommerfeld Equation
- A.6 MATLAB Codes for Hydrodynamic Stability Calculations
- A.7 Eigenvalues of Parallel Shear Flows
- B Resonances and Degeneracies
- B.1 Resonances and Degeneracies
- B.2 Orr-Sommerfeld-Squire Resonance
- C Adjoint of the Linearized Boundary Layer Equation
- C.1 Adjoint of the Linearized Boundary Layer Equation
- D Selected Problems on Part I.