Lecturer Key
GM = Gareth McKinley
JM = Jeffrey Moran
| LEC # | TOPICS | LECTURERS |
|---|---|---|
| The Continuum Viewpoint and the Equations of Motion | ||
| 1 | Introduction: Continuum Hypothesis; Thermophysical Properties | GM |
| 2 | The Material Derivative; Lagrangian and Eulerian Descriptions | JM |
| 3 | Kinematics of Deformation | GM |
| Fluid Statics | ||
| 4 | Forces and Stresses at a Point; Hydrostatic Pressure Variations; Rigid Body Motions | GM |
| Inviscid Flow and Bernoulli | ||
| 5 | Steady Bernoulli Equation Along / Across Streamlines; Unsteady / Generalized Forms of the Bernoulli Equation | GM |
| Control Volume Theorems and Applications | ||
| 6 | The Reynolds Transport Theorem | GM |
| 7 | Conservation of Mass / Energy / Entropy; Conservation of Linear Momentum | GM |
| 8 | Examples of Conservation of Linear Momentum; Conservation of Angular Momentum | GM |
| Equations of Viscous Flow | ||
| 9 | Conservation of Mass in Differential Form; The Constitutive Equation for Newtonian Fluid; Mechanical Pressure versus Thermodynamic Press | GM |
| 10 | The Navier Stokes Equation; Boundary Conditions for Navier-Stokes Equations | GM |
| 11 | Full Developed Flows, Couette and Poiseuille Flows, Stability of Viscous Flows | GM |
| Quiz 1 | ||
| Dimensional Analysis | ||
| 12 | The Buckingham Pi Theorem; Physical Significance of Dimensionless Variables | GM |
| 13 | Asymptotic Limits of the Governing Equations and Scaling with Dimensionless Variables | GM |
| More Complex Viscous-Dominated Flows | ||
| 14 | Start-Up and Transient Flows; Similarity Solution for a Flat Plate (The Rayleigh Problem) | GM |
| 15 | Quasi-Fully Developed Flows: Lubrication Analysis | GM |
| 16 | Free Surfaces and Other Lubrication Flows | GM |
| Potential Flow Theory | ||
| 17 | The Velocity Potential and Stream Function; Complex Variable Formulation | GM |
| 18 | Examples of Potential Flow Solutions | GM |
| Vorticity and Circulation | ||
| 19 | Definition of Circulation; Connection to Inviscid Flow and Vorticity; Rotational and Irrotational Flows | JM |
| 20 | Kelvin’s Circulation Theorems; Lift, Induced Drag; Airfoils, Lifting Lines, Propellers, Windmills | JM |
| Quiz 2 | ||
| Boundary Layers, Separation and Drag | ||
| 21 | Motivation and Scaling of the Boundary Layer Equations; Measures of Boundary Layer Thickness | GM |
| 22 | Boundary Layer on a Flat Plate; Effect of a Pressure Gradient: Falkner-Skan Solutions | GM |
| 23 | Flow Separation; Turbulent Boundary Layers | GM |
| Surface Tension and Its Importance | ||
| 24 | Free Surface Force Balance; Scaling and Dimensional Analysis; Capillarity: Simple Static Solutions | GM |
| 25 | Examples of Flows Driven by Surface Tension | GM |
| 26 | Course Review | GM & JM |
| Final Exam | ||
