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Calendar

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.

SES # TOPICS READINGS               KEY DATES                                          
1-2

First Class

  • Class Aims (Ses #1)
  • Class Administration (Problem Sets, Exams, Grades, etc.) (Ses #1)
  • Scheduling Issues (Ses #1)
  • Introduction (Ses #2)
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)

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)
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)
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)
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)
Midterm 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)
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)
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)
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)
KC01: 14.8-14.15
CR94: Chapters 4 and 6
Returned Problem Set 10 (Ses #22)
Review
Final