Readings

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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 = Amazon logo Kundu, P. K., and I. M. Cohen. Fluid Mechanics. 3rd ed. New York: Elsevier Academic Press, 2004. ISBN: 9780121782535.
CR94 = Amazon logo 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