M E 522 Lectures and Homework, Spring 2008

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