18.355 Fluid mechanics

 

Mathematical methods applied to problems in fluid dynamics. Particular attention will be given to the power of dimensional analysis and scaling arguments. Topics will include: particle motion (e.g. the dynamics of sports balls); animal locomotion (swimming and flying); viscous flows (e.g. geological fluid dynamics); rotating and stratified flows (geophysical fluid dynamics); gravity currents and plumes (environmental fluid mechanics); drops, bubbles and films. Course material will be supplemented by classroom and laboratory demonstrations.

Prerequisite: undergraduate fluids course or permission of Instructor.

 

SYLLABUS

 

HANDOUTS

Handout 0 : The history of fluid mechanics

Handout_1 : Review of vector & tensor calculus

Handout  2

Handout 3

Handout 4

Handout 5

Handout 6

Handout 7

Handout 8

 

PROBLEM SETS

Problem Set 1

Problem Set 2

Problem Set 3

Problem Set 4

Problem Set 5

Problem Set 6

Problem Set 7