The following table presents lecture outlines for each section.
Course notes.
| SES # |
TOPICS |
| 1. The Continuum Viewpoint and the Equation of Motion (PDF) |
| L1 |
Introduction: Continuum Hypothesis |
| L2 |
The Material Derivative
Lagrangian and Eulerian Descriptions
Thermophysical Properties
Compressibility Effects in Gases |
| L3 |
Forces Acting on a Continuum
The Inviscid Fluid |
| 2. Static Fluids (PDF) |
| L4 |
Static Fluids |
| 3. Mass Conservation in Flowing Media (PDF) |
| L5 |
Mass Conservation in Flowing Media |
| 4. Inviscid Flow (PDF) |
| L6 |
Steady Bernoulli Equation |
| L7 |
Unsteady/Generalized Forms of the Bernoulli Equation |
| 5. Control Volume Theorems and Applications (PDF) |
| L8 |
The Reynolds Transport Theorem |
| L9 |
Conservation of Mass/Energy/Entropy |
| L10 |
Conservation of Linear Momentum
Examples of Conservation of Linear Momentum |
| L11 |
Conservation of Angular Momentum |
| 6. Navier-Stokes Equation and Viscous Flow (PDF) |
| L12 |
Kinematics of Deformation |
| L13 |
The Navier-Stokes Equation
Boundary Conditions for Navier-Stokes Equations |
| L14 |
Fully Developed Flows, Stability of Viscous Flows |
| L15 |
Start-up and Transient Flows Similarity Solution for a Flat Plate (The Rayleigh Problem) |
| L16 |
Quasi-Fully Developed Flows: Lubrication Theory |
| 7. Dimensional Analysis (PDF) |
| L17 |
The Buckingham Pi Theorem
Physical Significance of Dimensionless Variables |
| L18 |
Asymptotic Limits of the Governing Equations and Scaling with Dimensionless Variables |
| 8. Potential Flow Theory (PDF) |
| L19 |
The Velocity Potential and Streamfunction
Complex Variable Formulation |
| L20 |
Examples of Potential Flow Solutions |
| 9. Boundary Layers, Separation and Drag (PDF) |
| L21 |
Boundary Layer on a Flat Plate
Effect of a Pressure Gradient
Separation |
| 10. Vorticity and Circulation (PDF) |
| L22 |
Definition of Circulations
Kelvin's Circulation Theorems
Lift, Induced Drag |
| 11. Surface Tension and its Importance (PDF) |
| L23 |
Free Surface Force Balance
Scaling and Dimensional Analysis |
| L24 |
Sample Flows |
| 12. Turbulence (Brief Introduction) |
| L25 |
Mean and Fluctuating Quantities
Reynolds Stresses, Eddy Viscosity, Taylor Microscale
Homogeneous and Wall-Bounded Turbulence
Kolmogorov Energy Cascade |
| L26 |
Turbulence (Conclusions)
Course Review |