Learn · Introduction To Interfacial Waves

Lecture 50 of 62week-10

Lecture 50: Shape oscillations of a spherical interface (contd..)

Prof. Ratul Dasgupta · IIT Bombay

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Introduction To Interfacial Waves, IIT Bombay (at NPTEL)
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All the lectures

  1. Lecture 1: Introduction Video
  2. Lecture 2: Coupled, linear, spring-mass systems Video
  3. Lecture 3: Coupled, linear, spring-mass systems (contd..) Video
  4. Lecture 4: Coupled, linear, spring-mass systems (contd..) Video
  5. Lecture 5: Coupled, linear, spring-mass system: continuum limit Video
  6. Lecture 6: Normal modes of a string fixed at both ends Video
  7. Lecture 7: Vibrations of clamped membranes Video
  8. Lecture 8: Vibrations of clamped membranes (contd.) Video
  9. Lecture 9: Introduction to Jacobian elliptic functions Video
  10. Lecture 10: The non-linear pendulum Video
  11. Lecture 11: The non-linear pendulum (contd..) Video
  12. Lecture 12: Time period of the non-linear pendulum Video
  13. Lecture 13: Introduction to perturbation methods Video
  14. Lecture 14: Perturbation methods (contd.) Video
  15. Lecture 15: Non-dimensionalisation Video
  16. Lecture 16: Perturbative solution to the projectile equation Video
  17. Lecture 17: Perturbative solution to the nonlinear pendulum Video
  18. Lecture 18: Lindstedt-Poincare technique Video
  19. Lecture 19: Method of multiple scales Video
  20. Lecture 20: Method of multiple scales (contd..) Video
  21. Lecture 21: Multiple scale analysis for damped-harmonic oscillator Video
  22. Lecture 22: Duffing equation using multiple scales Video
  23. Lecture 23: Duffing equation (contd..) Video
  24. Lecture 24: Kapitza pendulum Video
  25. Lecture 25: Introduction to Floquet theory Video
  26. Lecture 26: Floquet theorem (contd..) Video
  27. Lecture 27: Floquet analysis of the Mathieu equation Video
  28. Lecture 28: Introduction to waves on an interface Video
  29. Lecture 29: Linearized wave equations in deep water Video
  30. Lecture 30: Linearized wave equations in deep water: dispersion relation Video
  31. Lecture 31 Video
  32. Lecture 32 Video
  33. Lecture 33 Video
  34. Lecture 34 Video
  35. Lecture 35 Video
  36. Lecture 36: Cauchy-Poisson problem in cylindrical geometry (contd..) Video
  37. Lecture 37: Group-velocity and the Cauchy-Poisson problem Video
  38. Lecture 38: Cauchy-Poisson problem for delta function initial condition Video
  39. Lecture 39: Cauchy-Poisson problem for delta function initial condition (contd..) Video
  40. Lecture 40: Capillary-gravity waves Video
  41. Lecture 41: Waves on a pool of finite depth Video
  42. Lecture 42: Axisymmetric Cauchy-Poisson problem visualisation: the pebble in the deep pond problem Video
  43. Lecture 43: Rayleigh-Plateau capillary instability Video
  44. Lecture 44: Rayleigh-Plateau capillary instability (contd..) Video
  45. Lecture 45: Rayleigh-Plateau capillary instability on thin film coating a rod Video
  46. Lecture 46: Rayleigh-Plateau capillary instability of a cylindrical air column in a liquid Video
  47. Lecture 47: Mechanism of the Rayleigh-Plateau instability Video
  48. Lecture 48: Shape oscillations of a spherical interface Video
  49. Lecture 49: Shape oscillations of a spherical interface (contd..) Video
  50. Lecture 50: Shape oscillations of a spherical interface (contd..) Video
  51. Lecture 51: Analysis of l=0 and l=1 modes for a spherical drop Video
  52. Lecture 52: Faraday waves on an interface - stability of time dependent base states Video
  53. Lecture 53: Mathieu equation for Faraday waves Video
  54. Lecture 54: Applications of Faraday waves - atomisation & spray formation Video
  55. Lecture 55: Waves and instability on density stratified shear flows - the KH model Video
  56. Lecture 56: Limits of KH dispersion relation: Rayleigh-Taylor instability Video
  57. Lecture 57: KH dispersion relation : model of wind wave generation Video
  58. Lecture 58: Helmholtz instability of a vortex sheet and summary Video
  59. Lecture 59: Derivation of the Stokes travelling wave Video
  60. Lecture 60: Derivation of the Stokes travelling wave (contd..) Video
  61. Lecture 61: Derivation of the Stokes travelling wave (contd..) Video
  62. Live Session 21-10-2021 Video