Hydrodynamic Instabilities and Turbulence Rayleigh–Taylor, Richtmyer–Meshkov, and Kelvin–Helmholtz Mixing
Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- Acknowledgments
- Part 1 Fundamentals
- 1 A first glimpse of Rayleigh–Taylor, Richtmyer–Meshkov, and Kelvin–Helmholtz instabilities
- 2 The linear stage for a singlemode
- 3 The nonlinear stage for a singlemode
- 4 Multimode instabilities: Linear and nonlinear regimes
- 5 Global features from the lens of integrated mixingmeasurements
- 6 Internal dynamics from the lens of statistical mixingmeasurements
- 7 Elementary aspects of turbulent flows
- 8 Transition to turbulence
- Part 2 Hydrodynamics of Complex Flows
- Part 3 From the Microscopic to Cosmic Scales
- References
- Index
3 - The nonlinear stage for a singlemode
from Part 1 - Fundamentals
Published online by Cambridge University Press: aN Invalid Date NaN
Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- Acknowledgments
- Part 1 Fundamentals
- 1 A first glimpse of Rayleigh–Taylor, Richtmyer–Meshkov, and Kelvin–Helmholtz instabilities
- 2 The linear stage for a singlemode
- 3 The nonlinear stage for a singlemode
- 4 Multimode instabilities: Linear and nonlinear regimes
- 5 Global features from the lens of integrated mixingmeasurements
- 6 Internal dynamics from the lens of statistical mixingmeasurements
- 7 Elementary aspects of turbulent flows
- 8 Transition to turbulence
- Part 2 Hydrodynamics of Complex Flows
- Part 3 From the Microscopic to Cosmic Scales
- References
- Index
Summary
The nonlinear stage starts when the amplitude of the unstable flow feature becomes significant. This chapter first studies the nonlinear growth of the interface amplitude and its associated terminal velocity with potential flow models, both for RM and RT. Next, one describes several models intended to predict the evolution of the bubble and spike heights, and the corresponding velocities, for the nonlinear stage. The success and limitations of each model are assessed with comparison to experiments and numerical simulations. The sensitivities to viscosity, density ratio and Mach number are discussed.
Keywords
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- Information
- Hydrodynamic Instabilities and TurbulenceRayleigh–Taylor, Richtmyer–Meshkov, and Kelvin–Helmholtz Mixing, pp. 39 - 65Publisher: Cambridge University PressPrint publication year: 2024