Statistical Physics of Turbulence - Lecture 1

Explore the fundamentals of turbulent flow in this comprehensive lecture on Statistical Physics of Turbulence. Delve into the occurrence and significance of turbulence in natural and industrial settings, examining various mechanisms such as boundary layers, natural convection, and shear flow. Gain insights from mathematical, engineering, and physics perspectives on turbulence, and learn about analytical, experimental, and numerical tools used in its study. Discover key concepts like the dissipative anomaly, Richardson cascade, and Kolmogorov self-similarity. Understand the global energy budget, multi-scale description, and cascade hypotheses in turbulent flows. Conclude with a Q&A session to reinforce your understanding of this complex phenomenon.

Statistical Physics of Turbulent Flow
Lecture 1: Content
I. Turbulent flows: where and why?
Natural and industrial flows
Turbulence
Fluid turbulence
Mechanism: boundary layers
Mechanism: natural convection
Mechanism: shear flow
Hand-waiving turbulence
II. View and tools
Views of mathematicians: Yes/
Views of engineers: How?
Views of physicists: Why?
Analytical tools
Experimental tools: Hot Wire
Experimental tools: PIV
Experimental tools: PTV
Numerical tools: CFD
Numerics: DNS
LaTu spectral solver
Toward virtual laboratories
III. Phenomenology of turbulent flow
Taylor hypothesis and Taylor -
Global energy budget
The dissipative anomaly
Development of fine structures
Richardson cascade
Multi-scale description
Cascade hypotheses
Kolmogorov self-similarity
Q&A