# Multiphase flows:Analytical solutions and Stability Analysis

- Institution: IIT Madras
- Department: Chemical Engineering
- Teacher: Prof. S.Pushpavanam
- Level: Undergraduate
- Language: English
- Subjects: Chemistry, Engineering
- Source: [NPTEL](https://nptel.ac.in/courses/103106113)
- Licence: [CC BY-NC-SA](https://nptel.ac.in/faq) (Non-commercial use only.)
- Syllabus: [at the source](https://nptel.ac.in/courses/103106113)
- Who can watch: Tweens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

## Lectures

1. [Introduction and overview of the course: Multiphase flows](https://invisiblenetwork.ai/learn/nptel/103106113/a2be409e7a51) (Video)
2. [Stratified flow in a micro channel: Velocity profiles](https://invisiblenetwork.ai/learn/nptel/103106113/3b66427d4b79) (Video)
3. [Stratified flow in a micro channel: Effects of physical parameters](https://invisiblenetwork.ai/learn/nptel/103106113/a0db5092607a) (Video)
4. [Flow regimes in microchannels: Modeling and Experiments](https://invisiblenetwork.ai/learn/nptel/103106113/8829b667d9e2) (Video)
5. [Scaling Analysis: Introduction](https://invisiblenetwork.ai/learn/nptel/103106113/20ee07956913) (Video)
6. [Scaling Analysis: Worked Examples](https://invisiblenetwork.ai/learn/nptel/103106113/13041c88a593) (Video)
7. [Interfacial tension and its role in Multiphase flows](https://invisiblenetwork.ai/learn/nptel/103106113/f51d0805e8fc) (Video)
8. [Eulerian and Lagrangian approaches](https://invisiblenetwork.ai/learn/nptel/103106113/18e6edeb964f) (Video)
9. [Reynolds Transport Theorem and the Equation of Continuity](https://invisiblenetwork.ai/learn/nptel/103106113/2fdba58ea9b1) (Video)
10. [Derivation of Navier-Stokes equation](https://invisiblenetwork.ai/learn/nptel/103106113/49b942ee51b3) (Video)
11. [Vector operations in general orthogonal coordinates: Grad., Div., Lapacian](https://invisiblenetwork.ai/learn/nptel/103106113/3d9bc035be67) (Video)
12. [Normal and shear stresses on arbitrary surfaces: Force balance](https://invisiblenetwork.ai/learn/nptel/103106113/3a3fe7924377) (Video)
13. [Normal and shear stresses on arbitrary surfaces: Stress Tensor formulation](https://invisiblenetwork.ai/learn/nptel/103106113/3574b2b2f84d) (Video)
14. [Stresses on deforming surfaces: Introduction to Perturbation Theory](https://invisiblenetwork.ai/learn/nptel/103106113/075b8356a00e) (Video)
15. [Pulsatile flow: Analytical solution](https://invisiblenetwork.ai/learn/nptel/103106113/9442a95c0e4f) (Video)
16. [Pulsatile flow: Analytical solution and perturbation solution for Rw<<1](https://invisiblenetwork.ai/learn/nptel/103106113/e6462a11fe0e) (Video)
17. [Pulsatile flow: Perturbation solution for Rw >> 1](https://invisiblenetwork.ai/learn/nptel/103106113/5b604fe5dd2a) (Video)
18. [Viscous heating: Apparent viscosity in a viscometer](https://invisiblenetwork.ai/learn/nptel/103106113/d191272738d1) (Video)
19. [Domain perturbation methods: Flow between wavy walls](https://invisiblenetwork.ai/learn/nptel/103106113/a72b10f0033f) (Video)
20. [Flow between wavy walls: Velocity profile](https://invisiblenetwork.ai/learn/nptel/103106113/e6055361328a) (Video)
21. [Introduction to stability of dynamical systems: ODEs](https://invisiblenetwork.ai/learn/nptel/103106113/e4d0e9d09e80) (Video)
22. [Stability of distributed systems (PDEs): reaction diffusion example](https://invisiblenetwork.ai/learn/nptel/103106113/ea76c4a5547e) (Video)
23. [Stability of a reaction-diffusion system contd](https://invisiblenetwork.ai/learn/nptel/103106113/e1c6fbc4fbcb) (Video)
24. [Rayleigh-Benard convection: Physics and governing equations](https://invisiblenetwork.ai/learn/nptel/103106113/e1d692cdb1fc) (Video)
25. [Rayleigh-Benard convection: Linear stability analysis part 1A](https://invisiblenetwork.ai/learn/nptel/103106113/e3996d15a098) (Video)
26. [Rayleigh-Benard convection: Linear stability analysis part 1B](https://invisiblenetwork.ai/learn/nptel/103106113/ef41d6c283dd) (Video)
27. [Rayleigh-Benard convection: Linear stability analysis part 2](https://invisiblenetwork.ai/learn/nptel/103106113/0a75d186841a) (Video)
28. [Rayleigh-Benard convection: Linear stability analysis part 3](https://invisiblenetwork.ai/learn/nptel/103106113/68cd50db5cd0) (Video)
29. [Rayleigh Benard convection: Discussion of results](https://invisiblenetwork.ai/learn/nptel/103106113/883460689917) (Video)
30. [Rayleigh-Taylor ‘heavy over light’ instability](https://invisiblenetwork.ai/learn/nptel/103106113/517c4aa778a9) (Video)
31. [Rayleigh-Taylor instability contd](https://invisiblenetwork.ai/learn/nptel/103106113/958541fb898e) (Video)
32. [Capillary jet instability: Problem formulation](https://invisiblenetwork.ai/learn/nptel/103106113/bd180f56e0f6) (Video)
33. [Capillary jet instability: Linear stability analysis](https://invisiblenetwork.ai/learn/nptel/103106113/dba2cf26d1f9) (Video)
34. [Capillary jet instability: Rayleigh’s Work Principle](https://invisiblenetwork.ai/learn/nptel/103106113/b42924aa35ef) (Video)
35. [Tutorial Session: Solution of Assignment 4 on linear stability](https://invisiblenetwork.ai/learn/nptel/103106113/a9473ac1bec8) (Video)
36. [Turing patterns: Instability in reaction-diffusion systems](https://invisiblenetwork.ai/learn/nptel/103106113/fe3100fdf8a2) (Video)
37. [Turing patterns: Results](https://invisiblenetwork.ai/learn/nptel/103106113/4367fb26b064) (Video)
38. [Marangoni convection: Generalised tangential and normal stress boundary conditions](https://invisiblenetwork.ai/learn/nptel/103106113/57b6f70afc09) (Video)
39. [Marangoni convection: Stability analysis](https://invisiblenetwork.ai/learn/nptel/103106113/fdc635881f25) (Video)
40. [Flow in a circular curved channel: Governing equations and scaling](https://invisiblenetwork.ai/learn/nptel/103106113/0cb1ff971064) (Video)
41. [Flow in a circular curved channel: Solution by regular perturbation](https://invisiblenetwork.ai/learn/nptel/103106113/e19b40126dde) (Video)
42. [Stability of flow through curved channels: Problem formulation](https://invisiblenetwork.ai/learn/nptel/103106113/8c329655b6bf) (Video)
43. [Stability of flow through curved channels: Numerical calculation](https://invisiblenetwork.ai/learn/nptel/103106113/10e2e3eb2dc3) (Video)
44. [Viscous Fingering: Darcy’s law](https://invisiblenetwork.ai/learn/nptel/103106113/275097f79ad0) (Video)
45. [Viscous Fingering: Stability analysis](https://invisiblenetwork.ai/learn/nptel/103106113/a1a20895f5eb) (Video)
46. [Shallow Cavity flows](https://invisiblenetwork.ai/learn/nptel/103106113/ad47b839b3c7) (Video)