Week 
Dates 
Lecture material 
Homework 
Exams 
Week 1 
08/2208/26 
Chapters 1 and 2  Introduction: notation;
review; vectors and tensors; tensor notation; eigenvalues and principal axes

HW Info 
 
Week 2 
08/2909/024 
Chapter 3  Kinematics: Lagrangian vs. Eulerian descriptions, material derivative, motion of fluid particles,
streamlines, stress and strain, vorticity, circulation, stream function;
cylindrical and polar coordinates

HW 1 
 
Week 3 
09/0509/09 
Chapter 4  Conservation Laws: Reynolds transport theorem; control volume integrals; stress tensor; constitutive equations

 
 
Week 4 
09/1209/16 
Chapter 4  Conservation Laws (continued): differential equations for conservation of mass, momentum, and energy

HW 2 
 
Week 5 
09/1909/23 
Chapter 4  Mechanical energy equation, viscous dissipation, various forms of the energy equation; Bernoulli equation; buoyancy

HW 3 
 
Week 6 
09/2609/30 
Chapter 5  Vorticity Dynamics: Kelvin’s circulation theorem; interaction of vortices

 
Exam 1 
Week 7 
10/0310/07 
Chapter 5  Interaction of vortices (continued); the vorticity equation; production of vorticity
Matlab_simple_example_2_variables.m
Matlab_simple_example_2_variables_PLOT.JPG

HW 4 
 
Week 8 
10/1010/14 
Chapter 7  Irrotational Flow: complex variables; elementary flows; superposition; images; conformal mapping; numerical solutions
Smithsonian video  Line vortex with bubbles in the ocean (sent by Christine Truong)

HW 5 
 
Week 9 
10/1710/21 
Chapters 7 and 14  Irrotational Flow (continued): application to aerodynamics; axisymmetric flows; 3D flows
Zhukhovsky_Transformation_circle_to_airfoil.xlsx

HW 6 
 
Week 10 
10/2410/28 
Chapter 14  Aerodynamics and irrotational 3D Flow (continued)  lift, induced drag, trailing vortices; fish, birds, insects, and sailboat propulsion
Begin Chapter 9  Laminar Flow Solutions
YouTube video: cool trailing vortices in a cloud.
YouTube video: Simulations of swimming fish "
YouTube video: Bee flight in slow motion

HW 7
  
Week 11 
10/3111/04 
Chapter 9  Laminar Flow Solutions: diffusion; exact analytical solutions; similarity solutions

HW 8 
 
Week 12 
11/0711/12 
Chapter 9  Laminar Flow Solutions (continued): similarity solutions using the RungeKutta technique; begin creeping flow
R_K_for_Stagnation_pt_Matlab.m
Yates_microorganisms_article_27854249.pdf
YouTube: Nematodes swimming at very low Re
YouTube: Spirillum Volutans at very low Re
avi: Spirillum Volutans bacteria at very low Re
avi: Sperm cells swimming at very low Re
YouTube: NSF Fluid Mech. film on low Re flow (by G. I. Taylor!)
picture: Boy playing in pool of plastic balls

 
Exam 2 
Week 13 
11/1411/18 
Chapters 9 and 6  Creeping flow (continued); introduction to CFD;
introduction to compressible flow

HW 9
See our Canvas website for downloading instructions for STARCCM.
Additional downloading instructions from STARCCM:
For Windows machines
For Linux machines

 
Fall Break 
11/2111/25 
 
 
 
Week 14 
11/2812/02 
Chapter 10  Laminar Boundary Layers: introduction to the boundary layer approximation; Blasius flat plate
R_K_for_Blasius_BL.m

HW 10 
 
Week 15 
12/0512/09 
Chapter 10  Laminar Boundary Layers (continued): FalknerSkan flow; separation; cylinders and spheres; free shear flows

OPTIONAL HW 11 
 
Finals Week 
12/1212/16 
The final exam is scheduled for:
Monday Dec. 11, 4:406:30 pm, 7 Business Building 
 
Final Exam 