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Lecture 14 of 61Week 3

Lecture 14 : Nature of turbulent flows and Continuity equation

Prof. Abhilash J. Chandy · IIT Bombay

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Essentials of Turbulence, IIT Bombay (at NPTEL)
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All the lectures

  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
  6. Lecture 6 : Characteristics of turbulent flow Video
  7. Lecture 7 : Methods of analysis Video
  8. Lecture 8 : Origin of turbulence Video
  9. Lecture 9 : Diffusivity of turbulence Video
  10. Lecture 10 : Length scales in turbulent flows - Part A Video
  11. Lecture 11 : Length scales in turbulent flows - Part B Video
  12. Lecture 12 : Length scales in turbulent flows - Part C Video
  13. Lecture 13 : Length scales in turbulent flows - Part D Video
  14. Lecture 14 : Nature of turbulent flows and Continuity equation Video
  15. Lecture 15 : Momentum equations, Pressure and Conserved scalars Video
  16. Lecture 16 : Vorticity equation, Rates of strain and rotation Video
  17. Lecture 17 : Random nature of turbulence Video
  18. Lecture 18 : Characterization of random variables and examples of PDF Video
  19. Lecture 19 : Joint random variables, Joint PDFs and Conditional PDFs Video
  20. Lecture 20 : Random processes Video
  21. Lecture 21 : Frequency spectrum and Gaussian process Video
  22. Lecture 22 : Random fields and Wavenumber spectra Video
  23. Lecture 23 : Reynolds equations Video
  24. Lecture 24 : Closure problem in turbulence Video
  25. Lecture 25 : Gradient diffusion and Turbulent viscosity hypotheses Video
  26. Lecture 26 : Energy cascade Video
  27. Lecture 27 : Kolmogorov hypotheses Part 1 Video
  28. Lecture 28 : Kolmogorov hypotheses Part 2 Video
  29. Lecture 29 : Energy spectrum Part 1 Video
  30. Lecture 30 : Energy spectrum Part 2 Video
  31. Lecture 31 : Fourier modes and Fourier series representation Video
  32. Lecture 32 : The evolution of Fourier modes Part 1 Video
  33. Lecture 33 : The evolution of Fourier modes Part 2 Video
  34. Lecture 34 : The kinetic energy of Fourier modes Video
  35. Lecture 35 : Velocity spectrum tensor and Energy spectrum function Video
  36. Lecture 36 : One-dimensional spectra and comparison of spectra Video
  37. Lecture 37 : Kolmogorov spectra Video
  38. Lecture 38 : Model spectra Video
  39. Lecture 39 : Dissipation spectra Video
  40. Lecture 40 : Inertial subrange and Energy-containing range Video
  41. Lecture 41 : Effects of Reynolds number Video
  42. Lecture 42 : Energy-spectrum balance Video
  43. Lecture 43 : Challenges and modeling approaches Video
  44. Lecture 44 : Criteria for appraising models Part 1 Video
  45. Lecture 45 : Criteria for appraising models Part 2 Video
  46. Lecture 46 : Pseudo-spectral methods for DNS Video
  47. Lecture 47 : Computational cost of DNS Part 1 Video
  48. Lecture 48 : Computational cost of DNS Part 2 Video
  49. Lecture 49 : Turbulent Viscosity Models Video
  50. Lecture 50 : Four conceptual steps in LES Video
  51. Lecture 51 : Filtering in one-dimension Video
  52. Lecture 52 : Spectral representation of LES filter Video
  53. Lecture 53 : Filtering in three-dimension Video
  54. Lecture 54 : Filtered conservation equations Video
  55. Lecture 55 : Smagorinsky model Video
  56. Lecture 56 : LES in wavenumber space Video
  57. Lecture 57 : Practice Problems Part 1 Video
  58. Lecture 58 : Practice Problems Part 2 Video
  59. Lecture 59 : Practice Problems Part 3 Video
  60. Lecture 60 : Practice Problems Part 4 Video
  61. Tutorial 1 - Practice Problem Video