Multiphase flows:Analytical solutions and Stability Analysis Video Lectures

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