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Online Course

Physics of Turbulence

Indian Institute of Technology Kanpur and NPTEL via Swayam

6
Found in Physics

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Overview

Turbulence is everywhere—in the interiors and atmospheres of planets and stars, galaxies, biological systems including human body, engineering flows, etc. In this course, we will cover fundamental aspects of turbulence—Kolmogorov’s theory of turbulence in spectral and real space; two-dimensional turbulence; energy transfers; enstrophy and kinetic helicity cascades; more complex applications, such as passive scalar, turbulent thermal convection, and magnetohydrodynamic turbulence.

INTENDED AUDIENCE: Any Interested learners
PREREQUISITES: Basic fluid dynamics, Calculus, Fourier transforms
INDUSTRY SUPPORT: Companies working in CFD, turbulence

Syllabus

COURSE LAYOUT

Week 1: Introduction; Basic equations of hydrodynamics in real space; Conservation laws
Week 2: Fourier Space Description of Hydrodynamics;
Week 3: Fourier description contd. Craya-Herring basis
Week 4: Instabilities
Week 5: Saturation of nonlinearity; Patterns
Week 6: Energy transfers in fluid flows
Week 7: Kolmogorov’s theory of turbulence (in Fourier space)
Week 8: Kolmogorov’s theory of turbulence (in real space)
Week 9: Enstrophy; Two-dimensional turbulence; Kinetic helicity
Week 10:Turbulence with a scalar; Passive scalar;
Week 11:Turbulent thermal convection
Week 12:Turbulence with a vector; Magnetohydrodynamic turbulence

Taught by

Prof. Mahendra Verma

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