Course11210676842 lectures
Advanced Fluid Mechanics
Prof. Anubhab Roy · IIT Madras
About
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
Week 1
- Introduction
- An introduction to tensors - I
- An introduction to tensors - II
- An introduction to tensors - III
Week 2
- Fluid kinematics - I: Flow visualization
- Fluid kinematics - II: Flow visualization
- Fluid kinematics - III: Flow visualization
Week 3
- Fluid kinematics - IV: Fluid deformation
- Fluid kinematics - V: Fluid deformation
- Fluid kinematics - VI: Fluid deformation & Stress tensor
Week 4
- Conservation laws - I: Mass
- Conservation laws - II: Momentum
- Conservation laws - III: Momentum
- Conservation laws - IV: Momentum conservation & Boundary conditions
Week 5
Week 6
- Irrotational flow - I: Bernoulli's theorem & Potential flows
- Irrotational flow - II: Two-dimensional potential flows
- Irrotational flow - III: Potential flow past a circular cylinder
- Irrotational flow - IV: Potential flow past a rotating circular cylinder
Week 7
- Irrotational flow - V: Translating rigid body in an inviscid flow
- Irrotational flow - VI: D’Alembert’s paradox & Kutta–Joukowski theorem
- Irrotational flow - VII: Added mass & Kutta condition
Week 8
- Viscous laminar steady flows - I: Introduction
- Viscous laminar steady flows - II: 2D fully developed planer flows
- Viscous laminar steady flows - III: 2D fully developed planer flows
- Viscous laminar steady flows - IV: Hagen-Poiseuille flow
Week 9
- Viscous laminar unsteady flows - I: Stokes first problem
- Viscous laminar unsteady flows - II: Stokes first problem
- Viscous laminar unsteady flows - III: Stokes second problem
Week 10
- Boundary layer theory - I: Introduction
- Boundary layer theory - II: Prandtl's boundary layer theory
- Boundary layer theory - III: Prandtl's boundary layer theory
- Boundary layer theory - IV: Blasius similarity soluitions
Week 11
- Boundary layer theory - V: Blasius similarity solutions & Drag calculation
- Boundary layer theory - VI: Drag calculation & Falkner-Skan equation
- Boundary layer theory - VII: Von Kármán momentum integral equation & Drag calculation
- Boundary layer theory - VIII: Boundary layer separation
Week 12
Syllabus and materials
At NPTEL, as the course publishes them.
Credits and licence
- Institution
- IIT Madras
- Department
- Mechanical Engineering
- Teacher
- Prof. Anubhab Roy
- Level
- Graduate
- Language
- English
- Subjects
- Engineering
- Source
- NPTEL
- Licence
- CC BY-NC-SA, as NPTEL states it. Non-commercial use only. NPTEL's terms
- Attribution
- NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge.
- Who can watch
- NPTEL gives no rating. Invisible Network shows it to Tweens profiles and older, judged from what the source says about it. How courses are placed