Prepared by Professor J. M. Cimbala, Penn State University
Latest revision, 09 February 2009
| Week | Dates | Lecture topics | Files ("handouts") to discuss in class | Lecture notes (tablet PC) | Homework assignments |
| 1 | 01/14 - 01/18 | Chapter 10 - 2-D laminar boundary layers (continued from M E 521): free shear flows | Example_2D_laminar_jet.pdf |
Lecture 1 Lecture 2 Lecture 3 |
No homework this week |
| 2 | 01/21 - 01/25 | Axisymmetric laminar boundary layers: introduction, equations; Mangler transformation | - |
No class on Monday - MLK Day
Lecture 4 Lecture 5 |
HW Set 1 - Due Friday 01/25 |
| 3 | 01/28 - 02/01 | Three-dimensional laminar boundary layers: introduction, coordinate systems; secondary flow |
Three_D_BL_equations.pdf
Three_D_BL_cone.pdf Blasius_secondary_flow.mcd Blasius_secondary_flow.pdf |
Lecture 6 Lecture 7 Lecture 8 |
HW Set 2 - Due Friday 02/01 |
| 4 | 02/04 - 02-08 | Chapter 12 - Instability: introduction; linear stability theory; method of normal modes | Some_Instabilities.pdf |
Lecture 9 Lecture 10 Lecture 11 |
HW Set 3 - Due Friday 02-08 |
| 5 | 02/11 - 02/15 | Chapter 12 - Instability (continued): the Benard problem; Kelvin-Helmholtz instability |
Benard_prob_summary.pdf
Benard_Mathcad.mcd Benard_Mathcad.pdf Benard_and_Taylor_cells.pdf |
Lecture 12 Lecture 13 Lecture 14 |
HW Set 4 - Due Friday 02/15 |
| 6 | 02/18 - 02/22 | Chapter 12 - Instability (continued): locally parallel flows; Squire’s theorem; the Orr-Sommerfeld equation |
Orr_Sommerfeld_Eq.pdf
T_S_waves.pdf |
Lecture 15 Lecture 16 Lecture 17 |
HW Set 5 - Due Friday 02/22 |
| 7 | 02/25 - 02/29 | Chapter 12 - Instability (continued) - the Rayleigh equation; transition to turbulence |
Instability_far_wake.pdf
Turbulent_spots.pdf |
Lecture 18 Lecture 19 Lecture 20 |
HW Set 6 - Due Friday 02/29
Submit Benard results View Benard results |
| 8 | 03/03 - 03/07 |
**End of Midterm Exam Material**
Turbulence, The Final Frontier: introduction - the characteristics & features of turbulence, definitions |
Grid_turbulence.pdf
Momentumless_wake.pdf |
Lecture 21 Lecture 22 No class on Friday, March 7 |
No HW this week - Midterm Exam |
| - | 03/10 - 03/14 | SPRING BREAK | NO NOTES | NO LECTURES | NO HOMEWORK |
| 9 | 03/17 - 03/21 | Turbulence (continued) - Turbulence statistics; Reynolds decomposition; turbulent shear stress and the closure problem |
Reynolds_decomposition.pdf
Closure_Reynolds_stress.pdf |
Lecture 24 Lecture 25 Lecture 26 |
HW Set 7 - Due Friday 03/21 |
| 10 | 03/24 - 03/28 | Turbulence (continued) - turbulent kinetic energy; Kolmogorov’s contributions; energy scales and the energy cascade | MKE_and_TKE_eqs.pdf |
Lecture 27 Lecture 28 Lecture 29 |
HW Set 8 - Due Friday 03/28 |
| 11 | 03/31 - 04/04 | Turbulence (continued) - the turbulent scales problem and why we need turbulence models |
Fastest supercomputers IBM Sequoia |
Lecture 30 Lecture 31 Lecture 32 |
HW Set 9 - Due Friday 04/04 |
| 12 | 04/07 - 04/11 | Turbulence Models: introduction to turbulence modeling, zero-, one-, and two-equation models | One_eq_turbulence_models.pdf |
Lecture 33
Lecture 34 Lecture 35 |
HW Set 10 - Due Friday 04/11 |
| 13 | 04/14 - 04/18 | Turbulence Models (continued) - wall treatment, RSM models, example problems |
Wilcox_exact_epsilon_eq.pdf
Two_eq_turbulence_models.pdf Reynolds_stress_models.pdf Summary_turbulence_models.pdf |
Lecture 36 Lecture 37 Lecture 38 |
HW Set 11 - Due Friday 04/18 |
| 14 | 04/21 - 04/25 | Turbulence Flow Solutions: turbulent channel flow; turbulent boundary layer | - |
Lecture 39 Lecture 40 Lecture 41 |
HW Set 12 - Due Friday 04/25, but can turn in by Monday 04/28
Marasli_wake_data.txt |
| 15 | 04/28 - 05/02 | Turbulence Flow Solutions (continued): free shear flows: jets, wakes, and mixing layers |
Turbulent_jets.pdf
Turbulent_mixing_layers.pdf |
Lecture 42 Lecture 43 Lecture 44 |
HW Set 13 - Due 8:00 a.m., Monday 05/05 |