This section contains the homework assignments for the course, which are assigned and organized by topics covered in the lecture notes. Many of the assignments have 1.63J/2.21J listed as the course number. This is the new course number as of Spring 2004, when the course will be offered as a joint course with the Mechanical Engineering Department, as part of an iCampus school-wide modular program on fluid mechanics at MIT.
CHAPTER 1: BASICS
Vorticity evolution in an inhomogeneous fluid (PDF)
Mechanical energy (PDF)
Cavity collapse (PDF)
Draining of a T tube (PDF)
CHAPTER 2: LOW VISCOUS FLOWS
Radome in the rain (PDF)
Spreading of lava on a horizontal plane (PDF)
Slow mud flow (PDF)
Separating a flat object from a smooth surface (PDF)
CHAPTER 3: HIGH-SPEED FLOWS AND BOUNDARY LAYERS
Motion of water beneath a spreading oil film (PDF)
Jet from a point source of momentum (PDF)
Jet from a broken pipe (PDF)
Oil slick on the sea surface (PDF)
CHAPTER 4: THERMAL EFFECTS IN FLUIDS
Differential heating of the water surface (PDF)
Channel flow through a geothermal gradient (PDF)
Dispersion in an artery (PDF)
Dispersion in an open channel (PDF)
Dispersion in an oscillating flow in a pipe (PDF)
Hot spring at Yellowstone (PDF)
CHAPTER 6: SEEPAGE AND THERMAL EFFECTS IN POROUS MEDIA
Hele-Shaw analogy between lubrication and seepage flows (PDF)
CHAPTER 7: GEOPHYSICAL FLUID DYNAMICS OF COASTAL REGION
Ekman layer under oscillatory flow (PDF)