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Essentials of Turbulence

Prof. Abhilash J. Chandy · IIT Bombay

Start with lecture 1 At NPTEL

Lectures

Week 1

  1. Lecture 1 : The “despair” in turbulence Video
  2. Lecture 2 : Why Study Turbulence? Video
  3. Lecture 3 : Some descriptions of turbulence Video
  4. Lecture 4 : How to define turbulence? Video
  5. Lecture 5 : A brief history of turbulence Video

Week 2

  1. Lecture 6 : Characteristics of turbulent flow Video
  2. Lecture 7 : Methods of analysis Video
  3. Lecture 8 : Origin of turbulence Video
  4. Lecture 9 : Diffusivity of turbulence Video
  5. Lecture 10 : Length scales in turbulent flows - Part A Video

Week 3

  1. Lecture 11 : Length scales in turbulent flows - Part B Video
  2. Lecture 12 : Length scales in turbulent flows - Part C Video
  3. Lecture 13 : Length scales in turbulent flows - Part D Video
  4. Lecture 14 : Nature of turbulent flows and Continuity equation Video
  5. Lecture 15 : Momentum equations, Pressure and Conserved scalars Video

Week 4

  1. Lecture 16 : Vorticity equation, Rates of strain and rotation Video
  2. Lecture 17 : Random nature of turbulence Video
  3. Lecture 18 : Characterization of random variables and examples of PDF Video
  4. Lecture 19 : Joint random variables, Joint PDFs and Conditional PDFs Video
  5. Lecture 20 : Random processes Video

Week 5

  1. Lecture 21 : Frequency spectrum and Gaussian process Video
  2. Lecture 22 : Random fields and Wavenumber spectra Video
  3. Lecture 23 : Reynolds equations Video
  4. Lecture 24 : Closure problem in turbulence Video
  5. Lecture 25 : Gradient diffusion and Turbulent viscosity hypotheses Video

Week 6

  1. Lecture 26 : Energy cascade Video
  2. Lecture 27 : Kolmogorov hypotheses Part 1 Video
  3. Lecture 28 : Kolmogorov hypotheses Part 2 Video
  4. Lecture 29 : Energy spectrum Part 1 Video
  5. Lecture 30 : Energy spectrum Part 2 Video

Week 7

  1. Lecture 31 : Fourier modes and Fourier series representation Video
  2. Lecture 32 : The evolution of Fourier modes Part 1 Video
  3. Lecture 33 : The evolution of Fourier modes Part 2 Video
  4. Lecture 34 : The kinetic energy of Fourier modes Video
  5. Lecture 35 : Velocity spectrum tensor and Energy spectrum function Video

Week 8

  1. Lecture 36 : One-dimensional spectra and comparison of spectra Video
  2. Lecture 37 : Kolmogorov spectra Video
  3. Lecture 38 : Model spectra Video
  4. Lecture 39 : Dissipation spectra Video
  5. Lecture 40 : Inertial subrange and Energy-containing range Video

Week 9

  1. Lecture 41 : Effects of Reynolds number Video
  2. Lecture 42 : Energy-spectrum balance Video
  3. Lecture 43 : Challenges and modeling approaches Video
  4. Lecture 44 : Criteria for appraising models Part 1 Video
  5. Lecture 45 : Criteria for appraising models Part 2 Video

Week 10

  1. Lecture 46 : Pseudo-spectral methods for DNS Video
  2. Lecture 47 : Computational cost of DNS Part 1 Video
  3. Lecture 48 : Computational cost of DNS Part 2 Video
  4. Lecture 49 : Turbulent Viscosity Models Video
  5. Lecture 50 : Four conceptual steps in LES Video

Week 11

  1. Lecture 51 : Filtering in one-dimension Video
  2. Lecture 52 : Spectral representation of LES filter Video
  3. Lecture 53 : Filtering in three-dimension Video
  4. Lecture 54 : Filtered conservation equations Video
  5. Lecture 55 : Smagorinsky model Video

Week 12

  1. Lecture 56 : LES in wavenumber space Video
  2. Lecture 57 : Practice Problems Part 1 Video
  3. Lecture 58 : Practice Problems Part 2 Video
  4. Lecture 59 : Practice Problems Part 3 Video
  5. Lecture 60 : Practice Problems Part 4 Video
  6. Tutorial 1 - Practice Problem Video

Syllabus and materials

At NPTEL, as the course publishes them.

Credits and licence

Institution
IIT Bombay
Department
Mechanical Engineering
Teacher
Prof. Abhilash J. Chandy
Level
Undergraduate
Language
English
Subjects
Engineering
Source
NPTEL
Licence
CC BY-NC-SA, as NPTEL states it. Non-commercial use only. NPTEL's terms
Attribution
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