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Course11510411245 lectures

Physics of Turbulence

Prof. Mahendra K. Verma · IIT Kanpur

Start with lecture 1 At NPTEL

Lectures

Week 1

  1. Lecture 1: The turbulence problem Video
  2. Lecture 2: Basic hydrodynamics - Governing equations Video
  3. Lecture 3: Basic hydrodynamics - Vorticity Video
  4. Lecture 4: Basic hydrodynamics - Quadratic quantities Video
  5. Lecture 5: Basic hydrodynamics - Example problems Video

Week 2

  1. Lecture 6: Fourier space representation - Definitions Video
  2. Lecture 7: Fourier space representation - Flow equations Video
  3. Lecture 8: Fourier space represenation - Kinetic energy Video
  4. Lecture 9: Fourier space representation - Vorticity, Kinetic Helicity, and Enstrophy Video
  5. Lecture 10: Fourier space representation - Examples Video
  6. Lecture 11: Fourier space representation - Examples (continued) Video

Week 3

  1. Lecture 12: Craya-Herring Basis: Definitions Video
  2. Lecture 13: Craya-Herring Basis: Equations of Motion for a Triad Video
  3. Lecture 14: Craya-Herring Basis: Equations of Motion for an Anticlockwise Triad Video

Week 4

  1. Lecture 15: Thermal Instability Video
  2. Lecture 16: Thermal Instabilities Continued Video
  3. Lecture 17: Rotating Convection: Instability and Patterns Video

Week 5

  1. Lecture 18: Magnetoconvection: Instability and Patterns Video
  2. Lecture 19: Nonlinear Saturation: Lorenz Equation Video
  3. Lecture 20: Patterns, Chaos, and Turbulence Video

Week 6

  1. Lecture 21: Energy Transfers: Mode-to-mode Energy Transfers Video
  2. Lecture 22: Energy Transfers: Mode-to-mode Energy Transfers (continued) Video
  3. Lecture 23: Energy Transfers: Examples Video
  4. Lecture 24: Energy Transfers: Spectral Energy Flux and Shell-to-Shell Energy Transfer Video

Week 7

  1. Lecture 25: Energy Transfers: Fluid Simulations using Spectral Method Video
  2. Lecture 26: Energy Transfers: Fluid Simulations - Dealiasing Video
  3. Lecture 27: Kolmogorov's Theory: Energy Spectrum and Flux Video
  4. Lecture 28: Kolmogorov's Theory: Insights and its Verification with Direct Numerical Simulation Video

Week 8

  1. Lecture 29: Kolmogorov's theory: Spectrum and Flux in inertial-dissipation range Video
  2. Lecture 30: Kolmogorov's four-fifth law: Isotropic Tensor and Correlations Video
  3. Lecture 31: Kolmogorov's four-fifth law: Derivation Video
  4. Lecture 32: Kolmogorov's four-fifth law: Derivation (Final steps) Video

Week 9

  1. Lecture 33: Enstrophy Spectrum and Flux Video
  2. Lecture 34: Two-dimensional Turbulence Video

Week 10

  1. Helical turbulence Video
  2. Flow with a scalar Video
  3. Passive scalar turbulence Video

Week 11

  1. Stably stratified turbulence Video
  2. Turbulent thermal convection Video
  3. Flow with a vector Video

Week 12

  1. Lecture 41: MHD Turbulence: Formalism Video
  2. Lecture 42: MHD Turbulence: Energy Transfers Video
  3. Lecture 43: MHD Turbulence: Turbulence Models Video
  4. Lecture 44: MHD Turbulence: Dynamo Video

Live Session

  1. Live Session 17-09-2019 Video

Syllabus and materials

At NPTEL, as the course publishes them.

Credits and licence

Institution
IIT Kanpur
Department
Physics
Teacher
Prof. Mahendra K. Verma
Level
Undergraduate
Language
English
Subjects
Physics
Source
NPTEL
Licence
CC BY-NC-SA, as NPTEL states it. Non-commercial use only. NPTEL's terms
Attribution
NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge.
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