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Course10310120962 lectures

Introduction To Interfacial Waves

Prof. Ratul Dasgupta · IIT Bombay

Start with lecture 1 At NPTEL

Lectures

week-01

  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

week-02

  1. Lecture 6: Normal modes of a string fixed at both ends Video
  2. Lecture 7: Vibrations of clamped membranes Video
  3. Lecture 8: Vibrations of clamped membranes (contd.) Video
  4. Lecture 9: Introduction to Jacobian elliptic functions Video
  5. Lecture 10: The non-linear pendulum Video

week-03

  1. Lecture 11: The non-linear pendulum (contd..) Video
  2. Lecture 12: Time period of the non-linear pendulum Video
  3. Lecture 13: Introduction to perturbation methods Video
  4. Lecture 14: Perturbation methods (contd.) Video
  5. Lecture 15: Non-dimensionalisation Video

week-04

  1. Lecture 16: Perturbative solution to the projectile equation Video
  2. Lecture 17: Perturbative solution to the nonlinear pendulum Video
  3. Lecture 18: Lindstedt-Poincare technique Video
  4. Lecture 19: Method of multiple scales Video
  5. Lecture 20: Method of multiple scales (contd..) Video

week-05

  1. Lecture 21: Multiple scale analysis for damped-harmonic oscillator Video
  2. Lecture 22: Duffing equation using multiple scales Video
  3. Lecture 23: Duffing equation (contd..) Video
  4. Lecture 24: Kapitza pendulum Video
  5. Lecture 25: Introduction to Floquet theory Video

week-06

  1. Lecture 26: Floquet theorem (contd..) Video
  2. Lecture 27: Floquet analysis of the Mathieu equation Video
  3. Lecture 28: Introduction to waves on an interface Video
  4. Lecture 29: Linearized wave equations in deep water Video
  5. Lecture 30: Linearized wave equations in deep water: dispersion relation Video

week-07

  1. Lecture 31 Video
  2. Lecture 32 Video
  3. Lecture 33 Video
  4. Lecture 34 Video
  5. Lecture 35 Video

week-08

  1. Lecture 36: Cauchy-Poisson problem in cylindrical geometry (contd..) Video
  2. Lecture 37: Group-velocity and the Cauchy-Poisson problem Video
  3. Lecture 38: Cauchy-Poisson problem for delta function initial condition Video
  4. Lecture 39: Cauchy-Poisson problem for delta function initial condition (contd..) Video
  5. Lecture 40: Capillary-gravity waves Video

week-09

  1. Lecture 41: Waves on a pool of finite depth Video
  2. Lecture 42: Axisymmetric Cauchy-Poisson problem visualisation: the pebble in the deep pond problem Video
  3. Lecture 43: Rayleigh-Plateau capillary instability Video
  4. Lecture 44: Rayleigh-Plateau capillary instability (contd..) Video
  5. Lecture 45: Rayleigh-Plateau capillary instability on thin film coating a rod Video

week-10

  1. Lecture 46: Rayleigh-Plateau capillary instability of a cylindrical air column in a liquid Video
  2. Lecture 47: Mechanism of the Rayleigh-Plateau instability Video
  3. Lecture 48: Shape oscillations of a spherical interface Video
  4. Lecture 49: Shape oscillations of a spherical interface (contd..) Video
  5. Lecture 50: Shape oscillations of a spherical interface (contd..) Video

week-11

  1. Lecture 51: Analysis of l=0 and l=1 modes for a spherical drop Video
  2. Lecture 52: Faraday waves on an interface - stability of time dependent base states Video
  3. Lecture 53: Mathieu equation for Faraday waves Video
  4. Lecture 54: Applications of Faraday waves - atomisation & spray formation Video
  5. Lecture 55: Waves and instability on density stratified shear flows - the KH model Video

week-12

  1. Lecture 56: Limits of KH dispersion relation: Rayleigh-Taylor instability Video
  2. Lecture 57: KH dispersion relation : model of wind wave generation Video
  3. Lecture 58: Helmholtz instability of a vortex sheet and summary Video
  4. Lecture 59: Derivation of the Stokes travelling wave Video
  5. Lecture 60: Derivation of the Stokes travelling wave (contd..) Video
  6. Lecture 61: Derivation of the Stokes travelling wave (contd..) Video

Live Session

  1. Live Session 21-10-2021 Video

Syllabus and materials

At NPTEL, as the course publishes them.

Credits and licence

Institution
IIT Bombay
Department
Chemical Engineering
Teacher
Prof. Ratul Dasgupta
Level
Undergraduate
Language
English
Subjects
Chemistry, Engineering
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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