Learn · Multiphase flows:Analytical solutions and Stability Analysis

Lecture 40 of 46Multiphase flows:Analytical solutions and Stability Analysis

Flow in a circular curved channel: Governing equations and scaling

Prof. S.Pushpavanam · IIT Madras

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Multiphase flows:Analytical solutions and Stability Analysis, IIT Madras (at NPTEL)
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All the lectures

  1. Introduction and overview of the course: Multiphase flows Video
  2. Stratified flow in a micro channel: Velocity profiles Video
  3. Stratified flow in a micro channel: Effects of physical parameters Video
  4. Flow regimes in microchannels: Modeling and Experiments Video
  5. Scaling Analysis: Introduction Video
  6. Scaling Analysis: Worked Examples Video
  7. Interfacial tension and its role in Multiphase flows Video
  8. Eulerian and Lagrangian approaches Video
  9. Reynolds Transport Theorem and the Equation of Continuity Video
  10. Derivation of Navier-Stokes equation Video
  11. Vector operations in general orthogonal coordinates: Grad., Div., Lapacian Video
  12. Normal and shear stresses on arbitrary surfaces: Force balance Video
  13. Normal and shear stresses on arbitrary surfaces: Stress Tensor formulation Video
  14. Stresses on deforming surfaces: Introduction to Perturbation Theory Video
  15. Pulsatile flow: Analytical solution Video
  16. Pulsatile flow: Analytical solution and perturbation solution for Rw<<1 Video
  17. Pulsatile flow: Perturbation solution for Rw >> 1 Video
  18. Viscous heating: Apparent viscosity in a viscometer Video
  19. Domain perturbation methods: Flow between wavy walls Video
  20. Flow between wavy walls: Velocity profile Video
  21. Introduction to stability of dynamical systems: ODEs Video
  22. Stability of distributed systems (PDEs): reaction diffusion example Video
  23. Stability of a reaction-diffusion system contd Video
  24. Rayleigh-Benard convection: Physics and governing equations Video
  25. Rayleigh-Benard convection: Linear stability analysis part 1A Video
  26. Rayleigh-Benard convection: Linear stability analysis part 1B Video
  27. Rayleigh-Benard convection: Linear stability analysis part 2 Video
  28. Rayleigh-Benard convection: Linear stability analysis part 3 Video
  29. Rayleigh Benard convection: Discussion of results Video
  30. Rayleigh-Taylor ‘heavy over light’ instability Video
  31. Rayleigh-Taylor instability contd Video
  32. Capillary jet instability: Problem formulation Video
  33. Capillary jet instability: Linear stability analysis Video
  34. Capillary jet instability: Rayleigh’s Work Principle Video
  35. Tutorial Session: Solution of Assignment 4 on linear stability Video
  36. Turing patterns: Instability in reaction-diffusion systems Video
  37. Turing patterns: Results Video
  38. Marangoni convection: Generalised tangential and normal stress boundary conditions Video
  39. Marangoni convection: Stability analysis Video
  40. Flow in a circular curved channel: Governing equations and scaling Video
  41. Flow in a circular curved channel: Solution by regular perturbation Video
  42. Stability of flow through curved channels: Problem formulation Video
  43. Stability of flow through curved channels: Numerical calculation Video
  44. Viscous Fingering: Darcy’s law Video
  45. Viscous Fingering: Stability analysis Video
  46. Shallow Cavity flows Video