Readings

The handouts from Jim Price  (Sr. Scientist, Woods Hole Oceanographic Institution) used in the lecture notes section of this course are now available as an online publication:  Topics in Fluid Dynamics: Dimensional Analysis, the Coriolis Force, and Lagrangian and Eulerian Representations.

KC04 = Kundu, P. K., and I. M. Cohen. Fluid Mechanics. 3rd ed. New York: Elsevier Academic Press, 2004. ISBN: 9780121782535. 
CR94 = Cushman-Roisin, B. Introduction to Geophysical Fluid Dynamics. New York: Prentice Hall, 1994. ISBN: 9780133533019.

LEC #	TOPICS	READINGS
1	Introduction Class Aims  Class Administration (Problem Sets, Exams, Grades, etc.)  Scheduling Issues  Introduction to Fluid Dynamics
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	Session 2 KC04: 1.1-1.7, 3.1-3.5, 3.13 (optional Chap 2)  CR94: Chapter 1  KFF I, II, IV Session 3 KC04: 3.6-3.10 Session 4 KC04: 3.6-3.10 Session 5 KFF V  KC04: 4.1-4.4
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	Session 6 KC04: 4.5-4.11 Session 7 KC04: 4.13 - 4.15 Session 8 KC04: 4.13 - 4.17 Session 9 KC04: 4.16 - 4.18
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	Session 10 KC04: 4.16 - 4.18 Session 11 KC04: 5.1-5.3, 5.8-5.9, 3.11 (review) Session 12 KC04: 5.4-5.5 Session 13 KC04: 5.4-5.5
14-15	Impact of The Earth’s Rotation Momentum Eequations in a Rotating Frame  Centripetal Acceleration, Coriolis Acceleration  Vorticity Equation in a Rotating Frame  Kelvin’s Circulation Theorem in a Rotating Frame	Session 14 KC04: 4.12, CR: 2.1-2.5 Session 15 KC04: 5.7, 14.1-14.4
16-18	GFD Kinematics Simplified Momentum Equations  Inertial Flow, Geostrophy, Gradient Wind, Cyclostrophic Flow, Isallobaric Flow  Impact of Viscosity  Taylor-Proudman Theorem  Thermal Wind	Session 16 KC04: 14.5 Session 17 Holton 92: 3.2, 3.4
19-20	Ekman Layers Brief Bboundary Layer Introduction  Mass Transport in Ekman Layer; Ekman Pumping and Suction  Ekman Spiral  Sverdrup Transport	Session 20 14.6-14.7
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	Session 21 KC04: 14.8 Session 22 KC04: 12.9, 14.16 Session 23 KC04: 14.13, 14.15 Session 24 KC04: 14.11-14.12