Note: KC01 = Kundu, P. K., and I. M. Cohen. Fluid Mechanics. Academic Press, 2001; CR94 = Cushman-Roisin, B. Introduction to Geophysical Fluid Dynamics. Prentice Hall, 1994.
1-2 |
First Class
- Class Aims (Ses #1)
- Class Administration (Problem Sets, Exams, Grades, etc.) (Ses #1)
- Scheduling Issues (Ses #1)
- Introduction (Ses #2)
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KC01: 1.1-1.7, Chapter 2
CR94: Chapter 1 |
Problem Set 1 out (Ses #1)
Problem Set 1 due (Ses #2)
Problem Set 2 out (Ses #2)
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3-6 |
Kinematics of Fluid Flow
- Eulerian and Lagrangian Representations of Flow (Ses #3)
- The Material Derivative (Ses #3)
- Trajectories, Streaklines, and Streamlines (Ses #4)
- Cauchy-Stokes Theorem (Ses #4)
- The Velocity Gradient Tensor (Ses #5-6)
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Handout: Kinematics of Fluid Flow
KC01: Chapter 3 |
Quiz 1 out (Ses #3)
Problem Set 2 due (Ses #4)
Returned Quiz 1 (Ses #4)
Problem Set 3 out (Ses #4)
Quiz 2 out (Ses #4)
Returned Problem Set 2 (Ses #6)
Returned Quiz 2 (Ses #6)
Problem Set 3 due (Ses #6)
Quiz 3 out (Ses #6)
Problem Set 4 out (Ses #6) |
7-10 |
Conservation Equations
- Reynolds Transport Theorem (Ses #6)
- Momentum Equations (Navier-Stokes, Boussinesq Form of Navier-Stokes, Euler) (Ses #7-8)
- Total Energy Equation, Mechanical Energy Equation, Heat Equation (Ses #8, 10)
- 2nd Law of Thermodynamics (Ses #10)
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Handout: Kinematics of Fluid Flow
KC01: Chapter 4 |
Returned Problem Set 3 (Ses #7)
Returned Quiz 3 (Ses #7)
Problem Set 4 due (Ses #8)
Problem Set 5 out (Ses #8)
Reurned Problem Set 4 (Ses #9)
Quiz 4 out (Ses #9) |
11-14 |
Vortex Flows, Circulation, and Vorticity
- Bernoulli Functions (Ses #9)
- Solid Body Rotation, Point Vortex, Rankine Vortex (Ses #11)
- Stokes' Theorem (Ses #11)
- Potential Flows: Interacting Point Vortices (Ses #12)
- Kelvin's Circulation Theorem (Ses #12)
- Helmholtz Vortex Theorems (Ses #13)
- Vorticity Equation (Ses #13)
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KC01: 3.11, 4.12, 5.4-5.5 |
Problem Set 5 due (Ses #11)
Problem Set 6 out (Ses #11)
Quiz 5 out (Ses #12)
Problem Set 6 due (Ses #13)
Problem Set 7 out (Ses #13)
Returned Quiz 5 (Ses #13)
Returned Problem Set 5 (Ses #14) |
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Midterm |
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Returned Problem Set 6 |
15-16 |
Impact of the Earth’s Rotation
- Momentum Equations in a Rotating Frame (Ses #14)
- Centripetal Acceleration, Coriolis Acceleration (Ses #14)
- Vorticity Equation in a Rotating Frame (Ses #15)
- Kelvin's Circulation Theorem in a Rotating Frame (Ses #15)
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KC01: 4.12
CR94: Chapter 2 |
Problem Set 7 due (Ses #15)
Problem Set 8 out (Ses #15)
Returned Midterm (Ses #16) |
17-19 |
GFD Kinematics
- Simplified Momentum Equations (Ses #16)
- Inertial Flow, Geostrophy, Gradient Wind, Cyclostrophic Flow, Isallobaric Flow (Ses #16-17)
- Impact of Viscosity (Ses #18)
- Taylor-Proudman Theorem (Ses #18)
- Thermal Wind (Ses #18)
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KC01: 14.5
CR94: 4.1-4.2, 13.1 |
Problem Set 8 due (Ses #17)
Problem Set 9 out (Ses #17)
Problem Set 9 due (Ses #19)
Problem Set 10 out (Ses #19) |
20-21 |
Ekman Layers
- Brief Boundary Layer Introduction (Ses #18)
- Mass Transport in Ekman Layer; Ekman Pumping and Suction (Ses #19)
- Ekman Spiral (Ses #19)
- Sverdrup Transport (Ses #19)
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KC01: 14.6-14.7
CR94: Chapter 5 |
Returned Problem Set 9 (Ses #21)
Problem Set 10 due (Ses #21)
Problem Set 11 out (Ses #21) |
22-25 |
Waves
- Beta Effect (Ses #19)
- Wave Kinematics (Waves Primer)
- Barotropic, Fixed Depth Rossby Waves (Ses #20)
- Shallow Water Equations, Shallow Water Gravity Waves, Inertia-Gravity Waves, Kelvin Waves (Ses #20-22)
- Potential Vorticity (Ses #21)
- Barotropic, Quasi-Geostrophic Rossby Waves (Ses #21)
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KC01: 14.8-14.15
CR94: Chapters 4 and 6 |
Returned Problem Set 10 (Ses #22) |
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Review |
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Final |
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