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| 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 | ||
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