Course11210600343 lectures
Foundations of Fluid Mechanics
Prof. Anubhab Roy · IIT Madras
About
Fluid mechanics lies at the heart of how the natural and engineered world moves — from air flowing over aircraft wings to blood circulating through arteries. This course develops a fundamental understanding of fluid motion and the governing laws that describe it. Starting from the continuum description of fluids, it builds the kinematics and dynamics of flow through the principles of mass and momentum conservation. The emphasis is on connecting physical reasoning with mathematical formulation, leading to classical laminar flow solutions of the Navier–Stokes equations and an introduction to boundary-layer theory. The course provides a strong foundation for further studies and applications in fluid mechanics across engineering and the physical sciences.
Intended audience: UG/PG
Prerequisites: Basic knowledge of mathematics and mechanics
Lectures
WEEK 1
WEEK 2
- Fluid Statics-Anything but Static
- Hydrostatic Forces on Plane Surfaces
- Curved Surfaces, Buoyancy and Stability
- Manometry and Pressure Measurement
WEEK 3
Week 4
Week 5
- CV and the Reynold's Transport Theorem
- Mass conservation in integral form
- Linear momentum conservation in integral form
- Choosing a control volume; Moving CV
Week 6
- Force on Nozzles and Pipe Bends
- Jets and Vanes; Impulse Turbines
- Drag via Wake Survey
- Unsteady CV; Angular Momentum
Week 7
- Continuity in Differential Form
- Stress in a Fluid: The Cauchy Stress Tensor
- Newtonian Constituitive Law and Navier-Stokes
- Plane Couette and Plane Poiseuille
Week 8
- Hagen-Poiseuille Flow
- Thin film flow down an inclined plate
- Stokes First Problem
- Developing Flow and the Entrance Length
Week 9
- Euler Equation and Bernoulli Along a Streamline
- Head Form; HGL/EGL; the Pitot Tube
- "Bernoulli Flowmeters — Venturi, Orifice, Pitot"
- Energy Form for Real Flows — Friction, Pumps, Turbines
Week 10
- Why Dimensions Constrains Physics?
- The Buckingham Pi Theorem
- Similarity, Models and Scaling in Nature
Week 11
- Instability and transition to Turbulence
- Friction Factor and Darcy-Weisbach Equation
- Moody Chart and the Three Pipe Problems
- Minor Losses, Pipe Systems and Pump Matching
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
- 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