| Week |
Dates |
Lecture material |
Homework |
Exams |
| Week 1 |
08/22-08/26 |
Chapters 1 and 2 - Introduction: notation;
review; vectors and tensors; tensor notation; eigenvalues and principal axes
|
HW Info |
- |
| Week 2 |
08/29-09/024 |
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 |
09/05-09/09 |
Chapter 4 - Conservation Laws: Reynolds transport theorem; control volume integrals; stress tensor; constitutive equations
|
- |
- |
| Week 4 |
09/12-09/16 |
Chapter 4 - Conservation Laws (continued): differential equations for conservation of mass, momentum, and energy
|
HW 2 |
- |
| Week 5 |
09/19-09/23 |
Chapter 4 - Mechanical energy equation, viscous dissipation, various forms of the energy equation; Bernoulli equation; buoyancy
|
HW 3 |
- |
| Week 6 |
09/26-09/30 |
Chapter 5 - Vorticity Dynamics: Kelvin’s circulation theorem; interaction of vortices
|
- |
Exam 1 |
| Week 7 |
10/03-10/07 |
Chapter 5 - Interaction of vortices (continued); the vorticity equation; production of vorticity
Cool video of vortex rings
Amazing smoke rings from vaping
Video of water spout off the coast of Malaysia, April 2019
Matlab_simple_example_2_variables.m
Matlab_simple_example_2_variables_PLOT.JPG
YouTube video: Physics Girl - smoke rings and vortices
YouTube video: Smoke rings and turbulent scales
|
HW 4 |
- |
| Week 8 |
10/10-10/14 |
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 |
10/17-10/21 |
Chapters 7 and 14 - Irrotational Flow (continued): application to aerodynamics; axisymmetric flows; 3-D flows
Zhukhovsky_Transformation_circle_to_airfoil.xlsx
|
HW 6 |
- |
| Week 10 |
10/24-10/28 |
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 |
10/31-11/04 |
Chapter 9 - Laminar Flow Solutions: diffusion; exact analytical solutions; similarity solutions
|
HW 8 |
- |
| Week 12 |
11/07-11/12 |
Chapter 9 - Laminar Flow Solutions (continued): similarity solutions using the Runge-Kutta technique; begin creeping flow (Stokes 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
Cool video illustrating the reversibility of Stokes flow
|
- |
Exam 2 |
| Week 13 |
11/14-11/18 |
Chapters 9 and 6 - Creeping flow (continued); introduction to CFD;
introduction to compressible flow
|
HW 9
See our Canvas website for downloading instructions for STAR-CCM.
Additional downloading instructions from STAR-CCM:
For Windows machines
For Linux machines
|
- |
| Fall Break |
11/21-11/25 |
- |
- |
- |
| Week 14 |
11/28-12/02 |
Chapter 10 - Laminar Boundary Layers: introduction to the boundary layer approximation; Blasius flat plate
R_K_for_Blasius_BL.m
|
HW 10 |
- |
| Week 15 |
12/05-12/09 |
Chapter 10 - Laminar Boundary Layers (continued): Falkner-Skan flows; BL separation
|
OPTIONAL HW 11 |
- |
| Finals Week |
12/12-12/16 |
The final exam is scheduled for:
Monday Dec. 11, 4:40-6:30 pm, 7 Business Building |
- |
Final Exam |
