| SES # | TOPICS | KEY DATES |
|---|---|---|
| L1 | Introduction Fluids vs. Solids Liquids vs. Gases | Problem set 1 out |
| Basic Equations | ||
| L2 | Description of a Flow Flow Visualization - Flow Lines Concept and Consequences of Continuous Flow Material/Substantial/Total Time Derivative Langrangian and Eulerian Time Derivative | Problem set 1 due Problem set 2A out |
| R1 | Basic Tools - Calculus Review | |
| L3 | Stress Tensor Mass and Momentum Conservation | Problem set 2B out |
| L4 | Newtonian Fluids Navier-Stokes Equations Boundary Conditions Surface Tension Body Forces - Gravity | Problem sets 2A and 2B due Problem set 3A out |
| R2 | Control Volume | |
| Similitude | ||
| L5 | Dimensional Analysis | Problem set 3B out |
| L6 | Similarity Parameters Using Governing Equations and Boundary Conditions Using Physical Arguments Importance | Problem sets 3A and 3B due Problem set 4A out |
| R3 | Dimensional Analysis and Similitude | |
| Ideal Fluid Flow | ||
| L7 | Governing Equations and Boundary Conditions Circulation - Kelvin's Theorem Vorticity | Problem set 4B out |
| L8 | Properties of Vortex Structures Bernoulli Equation for Steady, Ideal, and Rotational Flow | Problem sets 4A and 4B due Problem set 5A out |
| R4 | Ideal Flow | Challenge problem 1 out |
| L9 | Vorticity Equation Potential Flow | Problem set 5B out |
| R5 | Quiz 1 Review and P-Flow | Problem sets 5A and 5B due |
| Quiz 1 | Challenge problem 1 due Problem set 6 out | |
| L10 | Governing Equations and Boundary Conditions for P-Flow Linear Superposition for P-Flow Laplace Equation Simple Potential Flows | Problem set 6 due Problem set 7A out P-Flow tutorial out |
| L11 | Method of Images D'Alembert's Paradox Lift Due to Circulation | Problem set 7B out P-Flow homework 1 out |
| L12 | Lifting Surfaces Potential Flow and Kutta Condition Thin Wing, Small Angle of Attack | Problem sets 7A and 7B due P-Flow homework 1 due Problem set 8A out |
| R6 | P-Flow Summary and Added Mass | |
| L13 | Unsteady Motion - Added Mass General 6 Degrees of Freedom Motions | Problem set 8B out |
| L14 | Properties of Added-Mass Coefficients Slender Body Approximation Buoyancy Effects Due to Accelerating Flow | Problem sets 8A and 8B due Problem set 9A out |
| R7 | Added Mass Tensor | |
| Real Fluid Effects | ||
| L15 | Form Drag | Problem set 9B out |
| L16 | Drag on a Very Streamlined Body Known Solutions of the Navier-Stokes Equations Boundary Layer Growth Over an Infinite Flat Plate for Unsteady Flow | Problem sets 9A and 9B due Problem set 10A out |
| R8 | Quiz 2 Review and Boundary Layers | |
| Quiz 2 | Problem set 10B out | |
| L17 | Laminar Boundary Layers Steady Flow over a Flat Plate Flow Over a Body of General Geometry | Problem set 10A due Problem set 11A out |
| R9 | Laminar Boundary Layers and Model Testing | Problem set 10B due |
| L18 | Turbulent Flow - Reynolds Stress Turbulent Boundary Layer Over a Smooth Flat Plate | Problem set 11B out |
| L19 | Turbulent Boundary Layers: Roughness Effects Model Testing | Problem set 11A due Problem set 12 out |
| Water Waves | ||
| R10 | Forces on Cylinder, Labs, and Linear Water Waves | Problem set 11B due |
| L20 | Exact (Nonlinear) Governing Equations for Surface Gravity Waves Linearized (Airy) Wave Theory Characteristics of Linear Plane Progressive Waves | Problem set 12 due Problem set 13A out |
| R11 | Dispersion Relation | |
| L21 | Superposition of Linear Plane Progressive Waves Wave Energy Energy Propagation - Group Velocity Energy Conservation Equation Steady Ship Waves, Wave Resistance | Problem set 13B out |
| L22 | Wave Forces on a Body | Problem sets 13A and 13B due Challenge problems 2 and 3 out |
| R12 | Problem Solving for Lifting Surfaces | Challenge problems 2 and 3 due Problem set 14A (optional) |
| Final Exam | ||