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

International Centre for Theoretical Sciences
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