| 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 | |||