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Physics of Turbulence

IIT Kanpur, , Prof. Prof. Mahendra Verma

Updated On 02 Feb, 19

Overview

Turbulence is everywherein 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 turbulenceKolmogorovs 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.

Includes

Lecture 5: Lecture 5: Basic hydrodynamics - Example problems

4.1 ( 11 )

Lecture Details

Course Details

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: Kolmogorovs theory of turbulence (in Fourier space)
Week 8: Kolmogorovs 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

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Comments
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Sam

Excellent course helped me understand topic that i couldn't while attendinfg my college.

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Dembe

Great course. Thank you very much.

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