| LEC # | TOPICS | KEY DATES |
|---|---|---|
| 1 |
Introduction Class Aims Class Administration (Problem Sets, Exams, Grades, etc.) Scheduling Issues Introduction to Fluid Dynamics |
Problem set 1 out |
| 2-5 |
Kinematics of Fluid Flow Eulerian and Lagrangian Representations of Flow The Material Derivative Trajectories, Streaklines, and Streamlines Cauchy-Stokes Theorem The Velocity Gradient Tensor |
Problem set 1 due (Ses 2) Problem set out (Ses 2) Quiz 1 out (Ses 2) Quiz 1 due (Ses 3) Quiz 2 out (Ses 3) Quiz 2 due (Ses 4) Problem set 2 due (Ses 4) Problem set 3 out (Ses 4) Quiz 3 out (Ses 5) |
| 6-9 |
Conservation Equations Reynolds Transport Theorem Momentum Equations (Navier-Stokes, Boussinesq form of Navier-Stokes, Euler) Total Energy Equation, Mechanical Energy Equation, Heat Equation 2nd Law of Thermodynamics |
Quiz 3 due (Ses 6) Problem set 3 due (Ses 7) Problem set 4 out (Ses 7) Problem set 4 due (Ses 9) |
| 10-13 |
Vortex Flows, Circulation, and Vorticity Bernoulli Functions Solid Body Rotation, Point Vortex, Rankine Vortex Stokes' Theorem Potential Flows: Interacting Point Vortices Kelvin's Circulation Theorem Helmholtz Vortex Theorems Vorticity Equation |
Problem set 5 out (Ses 10) Quiz 4 out (Ses 10) Quiz 4 due (Ses 11) Problem set 5 due (Ses 12) Problem set 6 out (Ses 12) Quiz 5 out (Ses 12) Quiz 5 due (Ses 13) |
| 14-15 |
Impact of The Earth’s Rotation Momentum Equations in a Rotating Frame Centripetal Acceleration, Coriolis Acceleration Vorticity Equation in a Rotating Frame Kelvin's Circulation Theorem in a Rotating Frame |
Quiz 6 out (Ses 14) Problem set 6 due (Ses 15) Problem set 7 out (Ses 15) Quiz 6 due (Ses 15) |
| 16-18 |
GFD Kinematics Simplified Momentum Equations Inertial Flow, Geostrophy, Gradient Wind, Cyclostrophic Flow, Isallobaric Flow Impact of Viscosity Taylor-Proudman Theorem Thermal Wind |
Quiz 7 out (Ses 16) Quiz 7 due (Ses 17) Problem set 7 due (Ses 17) Problem set 8 out (Ses 17) |
| 19-20 |
Ekman Layers Brief Boundary Layer Introduction Mass Transport in Ekman Layer; Ekman Pumping and Suction Ekman Spiral Sverdrup Transport |
Problem set 8 due (Ses 19) Problem set 9 out (Ses 20) |
| 21-24 |
Waves Beta Effect Wave Kinematics Barotropic, Fixed Depth Rossby Waves Shallow Water Equations, Shallow Water Gravity Waves, Inertia-Gravity Waves, Kelvin Waves Potential Vorticity Barotropic, Quasi-Geostrophic Rossby Waves Kelvin-Helmholz Instability |
Problem set 9 due (Ses 21) |
| 25 | Final exam due |
