Fall term: 18.02A
Calculus
Fall term: 18.355
Fluid
Mechanics Prerequisite:
undergraduate fluid mechanics course or permission of instructor
Geophysical
and environmental fluid dynamics; plumes and gravity currents; rotating
fluid dynamics;
stratified fluids; viscous flows; drops and bubbles; flow in porous media;
surface-tension driven flows.
Functions
of a complex variable; calculus of residues; Sturm-Liouville theory;
expansion in series of orthogonal functions, including Fourier series;
PDEs; separation of variables; boundary value problems.
The fundamentals of rotating flows. Vorticity theory, geostrophy, rotating boundary
layers, Ekman compatibility conditions, spin-up,
source-sink flows, particle motion in rotating flows, inertial waves, rotating
plumes and
gravity currents, the stability of rotating flows.
Text: H.P. Greenspan's
I am also involved in the
IFLUIDS Program and have contributed the Surface Tension Module to
1.63J/2.21J Fluid Dynamics of the Environment.
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