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
This chapter is part of a book that is no longer available to purchase from Cambridge Core
6 - Internal dynamics from the lens of statistical mixingmeasurements
from Part 1 - Fundamentals
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
In this chapter, we will focus on the statistical spectral dynamics which are paramount to understanding the development of the integrated mixing quantities described in Chapter 5. Reynolds flow averaging and the turbulent kinetic energy are introduced. In addition, I will discuss how the energy of the flows is transferred from large scale to small scale modes, as well as the impact of the shockwave and gravity on the isotropy of the flows. The flow spectra allow several important length scales to be defined. Numeric simulations and experimental data will be offered to provide insights on the mixing processes.
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- Information
- Hydrodynamic Instabilities and TurbulenceRayleigh–Taylor, Richtmyer–Meshkov, and Kelvin–Helmholtz Mixing, pp. 111 - 134Publisher: Cambridge University PressPrint publication year: 2024