# Advanced Fluid Mechanics

- Institution: IIT Madras
- Department: Mechanical Engineering
- Teacher: Prof. Anubhab Roy
- Level: Graduate
- Language: English
- Subjects: Engineering
- Source: [NPTEL](https://nptel.ac.in/courses/112106768)
- Licence: [CC BY-NC-SA](https://nptel.ac.in/faq) (Non-commercial use only.)
- Syllabus: [at the source](https://nptel.ac.in/courses/112106768)
- Who can watch: Tweens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

This advanced course in fluid mechanics will cover the essential concepts and methods for understanding the flow of liquids and gases. We will apply fundamental fluid mechanics principles to flow scenarios from both engineering and natural environments. The goal is to develop a strong foundation in the physical principles governing fluid motion, enabling the students to analyze and conceptualize any flow situation they may come across. Students will study the key theoretical arguments and analyses needed to examine different flow systems, aiming to create a clear understanding of the phenomena and their interconnections

Intended audience: Applied Mechanics, Mechanical Engineering, Chemical Engineering, Civil Engineering, Aerospace Engineering, Atmospheric and Ocean Engineering, Physics

Prerequisites: An introductory course in Fluid Mechanics

## Lectures

1. [Introduction](https://invisiblenetwork.ai/learn/nptel/112106768/f0971005ef16) (YouTube)
2. [An introduction to tensors - I](https://invisiblenetwork.ai/learn/nptel/112106768/0c29819417e2) (YouTube)
3. [An introduction to tensors - II](https://invisiblenetwork.ai/learn/nptel/112106768/52c3a15ee2e9) (YouTube)
4. [An introduction to tensors - III](https://invisiblenetwork.ai/learn/nptel/112106768/00fbbb4b5dc4) (YouTube)
5. [Fluid kinematics - I: Flow visualization](https://invisiblenetwork.ai/learn/nptel/112106768/666ba9fe5c23) (YouTube)
6. [Fluid kinematics - II: Flow visualization](https://invisiblenetwork.ai/learn/nptel/112106768/25de6ee57d19) (YouTube)
7. [Fluid kinematics - III: Flow visualization](https://invisiblenetwork.ai/learn/nptel/112106768/64abad2e9df1) (YouTube)
8. [Fluid kinematics - IV: Fluid deformation](https://invisiblenetwork.ai/learn/nptel/112106768/ab820372cd40) (YouTube)
9. [Fluid kinematics - V: Fluid deformation](https://invisiblenetwork.ai/learn/nptel/112106768/959cae4f38b8) (YouTube)
10. [Fluid kinematics - VI: Fluid deformation & Stress tensor](https://invisiblenetwork.ai/learn/nptel/112106768/751f2884968e) (YouTube)
11. [Conservation laws - I: Mass](https://invisiblenetwork.ai/learn/nptel/112106768/c1f6cd677a7e) (YouTube)
12. [Conservation laws - II: Momentum](https://invisiblenetwork.ai/learn/nptel/112106768/4d2697b77b85) (YouTube)
13. [Conservation laws - III: Momentum](https://invisiblenetwork.ai/learn/nptel/112106768/b75ef1819f70) (YouTube)
14. [Conservation laws - IV: Momentum conservation & Boundary conditions](https://invisiblenetwork.ai/learn/nptel/112106768/153df1c701c7) (YouTube)
15. [Vorticity dynamics - I](https://invisiblenetwork.ai/learn/nptel/112106768/82a087a388cf) (YouTube)
16. [Vorticity dynamics - II](https://invisiblenetwork.ai/learn/nptel/112106768/4420da8eb099) (YouTube)
17. [Vorticity dynamics - III](https://invisiblenetwork.ai/learn/nptel/112106768/c01eb0cccb45) (YouTube)
18. [Irrotational flow - I: Bernoulli's theorem & Potential flows](https://invisiblenetwork.ai/learn/nptel/112106768/cd55503bb610) (YouTube)
19. [Irrotational flow - II: Two-dimensional potential flows](https://invisiblenetwork.ai/learn/nptel/112106768/39930cf9818f) (YouTube)
20. [Irrotational flow - III: Potential flow past a circular cylinder](https://invisiblenetwork.ai/learn/nptel/112106768/22b7037d6fd0) (YouTube)
21. [Irrotational flow - IV: Potential flow past a rotating circular cylinder](https://invisiblenetwork.ai/learn/nptel/112106768/87f44f507912) (YouTube)
22. [Irrotational flow - V: Translating rigid body in an inviscid flow](https://invisiblenetwork.ai/learn/nptel/112106768/d937df440f35) (YouTube)
23. [Irrotational flow - VI: D’Alembert’s paradox & Kutta–Joukowski theorem](https://invisiblenetwork.ai/learn/nptel/112106768/ae3ad4a3e42e) (YouTube)
24. [Irrotational flow - VII: Added mass & Kutta condition](https://invisiblenetwork.ai/learn/nptel/112106768/c9729b85b435) (YouTube)
25. [Viscous laminar steady flows - I: Introduction](https://invisiblenetwork.ai/learn/nptel/112106768/bfdd00e6b1cd) (YouTube)
26. [Viscous laminar steady flows - II: 2D fully developed planer flows](https://invisiblenetwork.ai/learn/nptel/112106768/3cf1c793e647) (YouTube)
27. [Viscous laminar steady flows - III: 2D fully developed planer flows](https://invisiblenetwork.ai/learn/nptel/112106768/646d0be8c5aa) (YouTube)
28. [Viscous laminar steady flows - IV: Hagen-Poiseuille flow](https://invisiblenetwork.ai/learn/nptel/112106768/964ecf080c94) (YouTube)
29. [Viscous laminar unsteady flows - I: Stokes first problem](https://invisiblenetwork.ai/learn/nptel/112106768/b071ad087b14) (YouTube)
30. [Viscous laminar unsteady flows - II: Stokes first problem](https://invisiblenetwork.ai/learn/nptel/112106768/a631d948245e) (YouTube)
31. [Viscous laminar unsteady flows - III: Stokes second problem](https://invisiblenetwork.ai/learn/nptel/112106768/58e52a71dda9) (YouTube)
32. [Boundary layer theory - I: Introduction](https://invisiblenetwork.ai/learn/nptel/112106768/1362b41be8f9) (YouTube)
33. [Boundary layer theory - II: Prandtl's boundary layer theory](https://invisiblenetwork.ai/learn/nptel/112106768/e429943a4224) (YouTube)
34. [Boundary layer theory - III: Prandtl's boundary layer theory](https://invisiblenetwork.ai/learn/nptel/112106768/5c070082a240) (YouTube)
35. [Boundary layer theory - IV: Blasius similarity soluitions](https://invisiblenetwork.ai/learn/nptel/112106768/cb24c51c86ad) (YouTube)
36. [Boundary layer theory - V: Blasius similarity solutions & Drag calculation](https://invisiblenetwork.ai/learn/nptel/112106768/821103948eec) (YouTube)
37. [Boundary layer theory - VI: Drag calculation & Falkner-Skan equation](https://invisiblenetwork.ai/learn/nptel/112106768/b37d29ec8ac7) (YouTube)
38. [Boundary layer theory - VII: Von Kármán momentum integral equation & Drag calculation](https://invisiblenetwork.ai/learn/nptel/112106768/81d288f509fc) (YouTube)
39. [Boundary layer theory - VIII: Boundary layer separation](https://invisiblenetwork.ai/learn/nptel/112106768/c1a96a5fb5d5) (YouTube)
40. [Boundary layer theory - IX: External flows without surfaces](https://invisiblenetwork.ai/learn/nptel/112106768/f0d2d381d1bd) (YouTube)
41. [Introduction to hydrodynamic instability - I](https://invisiblenetwork.ai/learn/nptel/112106768/e871907c1364) (YouTube)
42. [Introduction to hydrodynamic instability - II](https://invisiblenetwork.ai/learn/nptel/112106768/abc061961996) (YouTube)
