Course11210521859 lectures
Advanced Fluid Mechanics - IITKGP
Prof. Suman Chakraborty · IIT Kharagpur
About
This is an advanced course in Fluid Mechanics. The subject Fluid Mechanics has a wide scope and is of prime importance in several fields of engineering and science. Present course emphasizes the fundamental underlying fluid mechanical principles and application of those principles to solve real life problems. Special attention is given towards deriving all the governing equations starting from the fundamental principle. There is a well balanced coverage of physical concepts, mathematical operations along with examples and exercise problems of practical importance. After completion of the course, the students will have a strong fundamental understanding of the basic principles of Fluid Mechanics and will be able to apply the basic principles to analyze fluid mechanical systems.
Intended audience: Mechanical EngineeringChemical EngineeringCivil EngineeringAerospace EngineeringMining EngineeringAtmospheric and Ocean EngineeringPhysics
Prerequisites: Basic knowledge of Mathematics and Fluid Mechanics
Lectures
Week 1
- Lecture 1 : Lagrangian and Eulerian Approach, Types of fluid flow
- Lecture 2 : Streamlines, Streakline and Pathline
- Lecture 3 : Acceleration of fluid flow
- Lecture 4 : Deformation and Conservation of mass of fluid element
- Lecture 5 : Angular deformation of a fluid element, vorticity & streamfunction and velocity potential
Week 2
- Lecture 6 : Euler’s equation
- Lecture 7 : Bernoulli’s equation (Part I)
- Lecture 8 : Bernoulli’s equation (Part II)
- Lecture 9 : Reynolds Transport Theorem (RTT)
Week 3
- Lecture 11 : Application of RTT: Conservation of linear momentum
- Lecture 12 : Application of RTT in accelerating reference frames
- Lecture 13 : Navier's equation of motion
- Lecture 14 : Derivation of Navier-Stokes equation
- Lecture 15 : Derivation of Navier-Stokes equation (contd.)
Week 4
- Lecture 16 : Derivation of Navier-Stokes equation (contd.)
- Lecture 17 : Fully developed flow between two parallel plates
- Lecture 18 : Fully developed flow between two parallel plates (contd.)
- Lecture 19 : Couette flow
- Lecture 20 : Flow with interfaces
Week 5
- Lecture 21 : Thin film flow on an inclined plane and Hagen-Poiseuille flow
- Lecture 22 : Hagen-Poiseuille flow (contd.)
- Lecture 23 : Flow between two rotating cylinders
- Lecture 24 : Stokes 1st problem
- Lecture 25: Stokes 2nd problem
Week 6
- Lecture 26: Introduction to turbulence: basic concepts
- Lecture 27: Eddies
- Lecture 28: Eddies (contd) and Vortex shredding
- Lecture 29: Statistical description of turbulent flows
- Lecture 30: Reynolds stress
Week 7
- Lecture 31 : Reynolds averaged Navier Stokes equation (RANS)
- Lecture 32 : Prandtl's mixing length
- Lecture 33 : Wall effect in turbulent flow
- Lecture 34 : Introduction to Boundary layer: scaling and order of magnitude analysis
- Lecture 35 : Scaling and order of magnitude analysis (contd.)
Week 8
- Lecture 36: Flow over a fat plate: Blasius equation
- Lecture 37: Momentum integral method for boundary layer analysis
- Lecture 38: Approximate solution of the momentum integral equation
- Lecture 39: Displacement and Momentum thickness
- Lecture 40: Illustrative examples
Week 9
- Lecture 41 : Boundary layer separation
- Lecture 42 : Resultant force on a body immersed in a fluid under motion
- Lecture 43 : Potential flow
- Lecture 44 : Examples of Potential flow
- Lecture 45 : Some more examples of Potential flows, Lift and Drag force
Week 10
- Lecture 46 : Applications of lift and drag force
- Lecture 47 : Some examples of flow past immersed bodies
- Lecture 48 : Sports Ball aerodynamics
- Lecture 49 : Introduction to compressible flows
- Lecture 50 : Significance of Mach number
Week 11
- Lecture 51 : Stagnation properties
- Lecture 52 : Isentropic flow through variable area ducts
- Lecture 53 : Some example problems on isentropic flow
- Lecture 54 : Normal Shock
- Lecture 55 : Converging norzzle
Week 12
Syllabus and materials
At NPTEL, as the course publishes them.
Credits and licence
- Institution
- IIT Kharagpur
- Department
- Mechanical Engineering
- Teacher
- Prof. Suman Chakraborty
- Level
- Undergraduate
- 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