The calendar below provides information on the course's lecture (L) and tutorial (T) sessions.
Course schedule.
| SES # |
TOPICS |
KEY DATES |
| 1. The Continuum Viewpoint and the Equation of Motion |
| L1 |
Introduction: Continuum Hypothesis |
Homework 1 out |
| L2 |
The Material Derivative
Lagrangian and Eulerian Descriptions
Thermophysical Properties
Compressibility Effects in Gases |
|
| T1 |
Tutorial Session |
|
| L3 |
Forces Acting on a Continuum
The Inviscid Fluid |
|
| 2. Static Fluids |
| L4 |
Static Fluids |
Homework 2 out |
| T2 |
Tutorial Session |
|
| 3. Mass Conservation in Flowing Media |
| L5 |
Mass Conservation in Flowing Media |
Homework 3 out |
| 4. Inviscid Flow |
| L6 |
Steady Bernoulli Equation |
Homework 4 out |
| T3 |
Tutorial Session |
|
| L7 |
Unsteady/Generalized Forms of the Bernoulli Equation |
|
| 5. Control Volume Theorems and Applications |
| L8 |
The Reynolds Transport Theorem |
Homework 5 out |
| T4 |
Tutorial Session |
|
| L9 |
Conservation of Mass/Energy/Entropy |
|
| T5 |
Tutorial Session |
|
| L10 |
Conservation of Linear Momentum
Examples of Conservation of Linear Momentum |
|
| T6 |
Tutorial Session |
|
|
Quiz 1 |
|
| L11 |
Conservation of Angular Momentum |
|
| T7 |
Tutorial Session |
|
| 6. Navier-Stokes Equation and Viscous Flow |
| L12 |
Kinematics of Deformation |
Homework 6 out |
| L13 |
The Navier-Stokes Equation
Boundary Conditions for Navier-Stokes Equations |
|
| T8 |
Tutorial Session |
|
| L14 |
Fully Developed Flows, Stability of Viscous Flows |
|
| L15 |
Start-up and Transient Flows Similarity Solution for a Flat Plate (The Rayleigh Problem) |
|
| T9 |
Tutorial Session |
|
| L16 |
Quasi-Fully Developed Flows: Lubrication Theory |
|
| T10 |
Tutorial Session |
|
| 7. Dimensional Analysis |
| L17 |
The Buckingham Pi Theorem
Physical Significance of Dimensionless Variables |
Homework 7 out |
| T11 |
Tutorial Session |
|
| L18 |
Asymptotic Limits of the Governing Equations and Scaling with Dimensionless Variables |
|
| 8. Potential Flow Theory |
| L19 |
The Velocity Potential and Streamfunction
Complex Variable Formulation |
Homework 8 out |
| T12 |
Tutorial Session |
|
| L20 |
Examples of Potential Flow Solutions |
|
|
Quiz 2 |
|
| 9. Boundary Layers, Separation and Drag |
| L21 |
Boundary Layer on a Flat Plate
Effect of a Pressure Gradient
Separation |
Homework 9 out |
| T13 |
Tutorial Session |
|
| 10. Vorticity and Circulation |
| L22 |
Definition of Circulations
Kelvin's Circulation Theorems
Lift, Induced Drag |
Homework 10 out |
| T14 |
Tutorial Session |
|
| 11. Surface Tension and its Importance |
| L23 |
Free Surface Force Balance
Scaling and Dimensional Analysis |
Homework 11 out |
| L24 |
Sample Flows |
|
| T15 |
Tutorial Session |
|
| 12. Turbulence (v. Brief Introduction) |
| L25 |
Mean and Fluctuating Quantities
Reynolds Stresses, Eddy Viscosity, Taylor Microscale
Homogeneous and Wall-Bounded Turbulence
Kolmogorov Energy Cascade |
Homework 12 out |
| L26 |
Turbulence (Conclusions)
Course Review |
|
|
Final Exam |
|