# Introduction to Astrophysical Fluids

- Institution: IIT Kanpur
- Department: Physics
- Teacher: Prof. Supratik Banerjee
- Level: Graduate
- Language: English
- Subjects: Physics
- Source: [NPTEL](https://nptel.ac.in/courses/115104124)
- Licence: [CC BY-NC-SA](https://nptel.ac.in/faq) (Non-commercial use only.)
- Syllabus: [at the source](https://nptel.ac.in/courses/115104124)
- Who can watch: Tweens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

The physics of astrofluids is the subject of active research during past seventy years.Starting from the solar wind and magnetospheric plasmas, the scope of astrophysical fluids expands upto large interstellar clouds. A thorough understanding of astrophysical fluid dydnamics is essential to understand fascinating phenomena like the formation of sunspots, solar flares, accretion disks, stellar winds, explosion of supernovae, the formation of stars etc. This course is structured to offer the students a systematic analytical approach towards various astrophysical concepts along with a research oriented outlook.

INTENDED AUDIENCE : Advanced UG and PG (Masters and PhD) students.

PREREQUISITES : Basic knowledge of vector analysis (algebra and calculus), partial differentiation, fluid dynamics and electromagnetism are required. A notion of Hamiltonian mechanics is preferable.

## Lectures

1. [Lecture 1: General introduction](https://invisiblenetwork.ai/learn/nptel/115104124/b67170171ec7) (YouTube)
2. [Lecture 2: Phase space and Liouville's theorem](https://invisiblenetwork.ai/learn/nptel/115104124/5d34550dfdbb) (YouTube)
3. [Lecture 3: Collisionless Boltzmann equation](https://invisiblenetwork.ai/learn/nptel/115104124/318d310eb6f4) (YouTube)
4. [Lecture 4: Boltzmann equation for collisional system I](https://invisiblenetwork.ai/learn/nptel/115104124/32828f3cee3e) (YouTube)
5. [Lecture 5: Boltzmann equation for collisional system II](https://invisiblenetwork.ai/learn/nptel/115104124/fd43eee8ce80) (YouTube)
6. [Lecture 6: Equilibrium distribution function I](https://invisiblenetwork.ai/learn/nptel/115104124/4a63f11d28f3) (YouTube)
7. [Lecture 7: Equilibrium distribution function II](https://invisiblenetwork.ai/learn/nptel/115104124/b69307c92683) (YouTube)
8. [Lecture 8: Derivation of moment equations I](https://invisiblenetwork.ai/learn/nptel/115104124/4f391a0d19b9) (YouTube)
9. [Lecture 9: Derivation of moment equations II](https://invisiblenetwork.ai/learn/nptel/115104124/e76325545878) (YouTube)
10. [Lecture 10: Application of moment equations in collisionless systems](https://invisiblenetwork.ai/learn/nptel/115104124/94a70d2c4a9f) (YouTube)
11. [Lecture 11 : Derivation of ideal fluid equations](https://invisiblenetwork.ai/learn/nptel/115104124/61f46368e8f9) (YouTube)
12. [Lecture 12: Macroscopic forces on an ideal fluid](https://invisiblenetwork.ai/learn/nptel/115104124/c32384b1d554) (YouTube)
13. [Lecture 13: Properties of ideal fluid](https://invisiblenetwork.ai/learn/nptel/115104124/ef7a00b2f2f2) (YouTube)
14. [Lecture 14: Kevin's vorticity theorem](https://invisiblenetwork.ai/learn/nptel/115104124/df5c4ac81096) (YouTube)
15. [Lecture 15: Conservative form and invariants in ideal fluids](https://invisiblenetwork.ai/learn/nptel/115104124/f3a87109b02e) (YouTube)
16. [Lecture 16: Steady flow, streamlines and stream function](https://invisiblenetwork.ai/learn/nptel/115104124/6b668cdbce17) (YouTube)
17. [Lecture 17: Departure from Maxwellian distribution](https://invisiblenetwork.ai/learn/nptel/115104124/eec2a9a41405) (YouTube)
18. [Lecture 18: Derivation of real fluid equations](https://invisiblenetwork.ai/learn/nptel/115104124/f50adb13ddda) (YouTube)
19. [Lecture 19: Hydrostatics: Model of solar corona](https://invisiblenetwork.ai/learn/nptel/115104124/f15faf8673a1) (YouTube)
20. [Lecture 20: Stellar/solar wind](https://invisiblenetwork.ai/learn/nptel/115104124/3a86c3a7b99c) (YouTube)
21. [Lecture 21: Accretion disks I](https://invisiblenetwork.ai/learn/nptel/115104124/9c4773431298) (YouTube)
22. [Lecture 22: A small digression: Newtonian fluids](https://invisiblenetwork.ai/learn/nptel/115104124/e85c47d1d50b) (YouTube)
23. [Lecture 23: Accretion disk II](https://invisiblenetwork.ai/learn/nptel/115104124/d2e71fa5a106) (YouTube)
24. [Lecture 24: Weak perturbation in a compressible fluid: sound wave](https://invisiblenetwork.ai/learn/nptel/115104124/7a5ac0c79302) (YouTube)
25. [Lecture 25: Effect of nonlinearity: shocks](https://invisiblenetwork.ai/learn/nptel/115104124/a716a53d58d1) (YouTube)
26. [Lecture 26: Supernova explosion and spherical blast waves I](https://invisiblenetwork.ai/learn/nptel/115104124/88c3c77153a2) (YouTube)
27. [Lecture 27: Supernova explosion and spherical blast waves II](https://invisiblenetwork.ai/learn/nptel/115104124/c6b1238e9d8b) (YouTube)
28. [Lecture 28: de Laval nozzle and extragalactic jets](https://invisiblenetwork.ai/learn/nptel/115104124/102622e60e30) (YouTube)
29. [Lecture 29: Convective instability and Swarzschild stability criterian](https://invisiblenetwork.ai/learn/nptel/115104124/89c263e51d8c) (YouTube)
30. [Lecture 30: Rayleigh Benard convection I](https://invisiblenetwork.ai/learn/nptel/115104124/a85c18fb0ab8) (YouTube)
31. [Lecture 31: Rayleigh Benard convection II](https://invisiblenetwork.ai/learn/nptel/115104124/20087fdff57b) (YouTube)
32. [Lecture 32: Jeans instability](https://invisiblenetwork.ai/learn/nptel/115104124/fbb62810ad3b) (YouTube)
33. [Lecture 33: Waves and instabilities in a two-fluid interface I](https://invisiblenetwork.ai/learn/nptel/115104124/23d535d21635) (YouTube)
34. [Lecture 34: Waves and instabilities in a two-fluid interface II](https://invisiblenetwork.ai/learn/nptel/115104124/2deb68c56268) (YouTube)
35. [Lecture 35: Oscillations of stars](https://invisiblenetwork.ai/learn/nptel/115104124/51bdcc11d781) (YouTube)
36. [Lecture 36: Oscillation of stars (contd.)](https://invisiblenetwork.ai/learn/nptel/115104124/5ef6cf33f89a) (YouTube)
37. [Lecture 37: Rotation in astrofluids and Rayleigh criterion](https://invisiblenetwork.ai/learn/nptel/115104124/a14f55fcbc66) (YouTube)
38. [Lecture 38: Fluid dynamics in a rotating frame of reference](https://invisiblenetwork.ai/learn/nptel/115104124/f28fd417181f) (YouTube)
39. [Lecture 39: Vorticity theorem in rotating frame and Taylor-Proudman theorem](https://invisiblenetwork.ai/learn/nptel/115104124/4cc00d835216) (YouTube)
40. [Lecture 40: Effect of rotation on a self gravitating mass](https://invisiblenetwork.ai/learn/nptel/115104124/15d1a2427517) (YouTube)
41. [Lecture 41: Effect of rotation in stars](https://invisiblenetwork.ai/learn/nptel/115104124/e2c03e5b481a) (YouTube)
42. [Lecture 42: Introduction to Plasmas](https://invisiblenetwork.ai/learn/nptel/115104124/001a736f6544) (YouTube)
43. [Lecture 43: Description of Plasma](https://invisiblenetwork.ai/learn/nptel/115104124/560b56fbb42f) (YouTube)
44. [Lecture 44: Kinetic to fluid picture of plasmas](https://invisiblenetwork.ai/learn/nptel/115104124/fb0611f7b1fc) (YouTube)
45. [Lecture 45: MHD fluids: magnetic pressure, magnetic tension and plasma beta](https://invisiblenetwork.ai/learn/nptel/115104124/5a27c6272569) (YouTube)
46. [Lecture 46: Inviscid invariants in MHD](https://invisiblenetwork.ai/learn/nptel/115104124/d374fb2898ee) (YouTube)
47. [Lecture 47: Inviscid invariants in MHD (Contd.)](https://invisiblenetwork.ai/learn/nptel/115104124/fcd7142b6a54) (YouTube)
48. [Lecture 48: Elsasser variables in MHD](https://invisiblenetwork.ai/learn/nptel/115104124/88d62e0a9aea) (YouTube)
49. [Lecture 49: Linear wave modes in MHD](https://invisiblenetwork.ai/learn/nptel/115104124/65be75bfdb53) (YouTube)
50. [Lecture 50: MHD in space plasmas](https://invisiblenetwork.ai/learn/nptel/115104124/850cab72635a) (YouTube)
51. [Lecture 51: Introduction to turbulence in fluids](https://invisiblenetwork.ai/learn/nptel/115104124/7c1becb3ffbf) (YouTube)
52. [Lecture 52: Richardson-Kolmogorov phenomenology of turbulence](https://invisiblenetwork.ai/learn/nptel/115104124/a58ae03dc91a) (YouTube)
53. [Lecture 53: Turbulent diffusion](https://invisiblenetwork.ai/learn/nptel/115104124/bca0a7ed77f2) (YouTube)
54. [Lecture 54: Turbulent viscosity](https://invisiblenetwork.ai/learn/nptel/115104124/eb91252abccc) (YouTube)
55. [Lecture 55: Turbulence in MHD fluids](https://invisiblenetwork.ai/learn/nptel/115104124/eb99da09f144) (YouTube)
56. [Lecture 56: Introduction to astrophysical dynamos](https://invisiblenetwork.ai/learn/nptel/115104124/789dc0e59292) (YouTube)
57. [Lecture 57: Anti-dynamo theorem and turbulent dynamos](https://invisiblenetwork.ai/learn/nptel/115104124/3f660457c8f7) (YouTube)