This book, "Turbulence in Fluids," is a comprehensive resource on the subject of turbulence in fluid mechanics, authored by Marcel Lesieur and published by Springer. The book is part of a series that focuses on interdisciplinary subjects where fluid mechanics plays a fundamental role, including turbulence, suspensions, multiphase fluids, and numerical modeling techniques. It is designed for graduate students and researchers, providing a median level of presentation. The book is structured into 13 chapters, covering various aspects of turbulence, from basic fluid dynamics to advanced topics such as large-eddy simulations and real-world applications. Key topics include: 1. **Introduction to Turbulence**: Definitions, examples, and the relationship between fluid turbulence and chaos. 2. **Basic Fluid Dynamics**: Equations of motion, vorticity dynamics, and potential vorticity. 3. **Transition to Turbulence**: Linear instability theory, thermal convection, and transition in free-shear flows. 4. **Shear Flow Turbulence**: Coherent vortices, mixing layers, and wall flows. 5. **Fourier Analysis of Homogeneous Turbulence**: Spectral representation, energy and enstrophy spectra. 6. **Isotropic Turbulence**: Phenomenology, coherent vortices, and stochastic models. 7. **Two-Dimensional Turbulence**: Spectral tools, enstrophy cascade, and inverse energy transfers. 8. **Beyond Two-Dimensional Turbulence**: Geophysical fluid dynamics, baroclinic instability, and Rossby waves. 9. **Statistical Thermodynamics of Turbulence**: truncated Euler equations and statistical mechanics. 10. **Statistical Predictability Theory**: Predictability in three and two-dimensional turbulence. 11. **Large-Eddy Simulations**: Classical and new models for eddy viscosity and diffusivity. 12. **Towards Real-World Turbulence**: Applications in stratified, rotating, separated, and compressible flows. The book incorporates new research results from the past two decades, including direct numerical simulations (DNS) and large-eddy simulations (LES), and provides detailed explanations and numerical simulations to support the theoretical concepts. It is a valuable resource for both academic and industrial applications, particularly in fields such as aeronautics, hydraulics, and environmental science.This book, "Turbulence in Fluids," is a comprehensive resource on the subject of turbulence in fluid mechanics, authored by Marcel Lesieur and published by Springer. The book is part of a series that focuses on interdisciplinary subjects where fluid mechanics plays a fundamental role, including turbulence, suspensions, multiphase fluids, and numerical modeling techniques. It is designed for graduate students and researchers, providing a median level of presentation. The book is structured into 13 chapters, covering various aspects of turbulence, from basic fluid dynamics to advanced topics such as large-eddy simulations and real-world applications. Key topics include: 1. **Introduction to Turbulence**: Definitions, examples, and the relationship between fluid turbulence and chaos. 2. **Basic Fluid Dynamics**: Equations of motion, vorticity dynamics, and potential vorticity. 3. **Transition to Turbulence**: Linear instability theory, thermal convection, and transition in free-shear flows. 4. **Shear Flow Turbulence**: Coherent vortices, mixing layers, and wall flows. 5. **Fourier Analysis of Homogeneous Turbulence**: Spectral representation, energy and enstrophy spectra. 6. **Isotropic Turbulence**: Phenomenology, coherent vortices, and stochastic models. 7. **Two-Dimensional Turbulence**: Spectral tools, enstrophy cascade, and inverse energy transfers. 8. **Beyond Two-Dimensional Turbulence**: Geophysical fluid dynamics, baroclinic instability, and Rossby waves. 9. **Statistical Thermodynamics of Turbulence**: truncated Euler equations and statistical mechanics. 10. **Statistical Predictability Theory**: Predictability in three and two-dimensional turbulence. 11. **Large-Eddy Simulations**: Classical and new models for eddy viscosity and diffusivity. 12. **Towards Real-World Turbulence**: Applications in stratified, rotating, separated, and compressible flows. The book incorporates new research results from the past two decades, including direct numerical simulations (DNS) and large-eddy simulations (LES), and provides detailed explanations and numerical simulations to support the theoretical concepts. It is a valuable resource for both academic and industrial applications, particularly in fields such as aeronautics, hydraulics, and environmental science.