ROSE-HULMAN INSTITUTE OF TECHNOLOGY
EM 501 Introduction to Turbulence — Fall 2008–2009
This course schedule will be updated on a regular basis. Homework assignments will be finalized a week before they appear on the schedule.
Invaluable libraries of fluid mechanics videos are located at http://web.mit.edu/fluids/www/Shapiro/ncfmf.html and http://css.engineering.uiowa.edu/fluidslab/referenc/instructional.html Check them out at your own leisure.
A resourceful library of fluid mechanics materials is located at http://www.efluids.com Explore it and appreciate the beauty of the world of fluid mechanics!
|
Class |
Date |
Day |
Topics |
HW Set Due |
|
1 |
9-4 |
R |
What is turbulence? |
|
|
2 |
9-5 |
F |
Kinematics of fluid motion |
Set 1 |
|
3 |
9-8 |
M |
Conservation of mass: continuity equation |
|
|
4 |
9-9 |
T |
Conservation of linear momentum for an inviscid fluid: Euler equation, Bernoulli equation |
Set 3 |
|
5 |
9-11 |
R |
Conservation of linear momentum for a viscous fluid: Navier-Stokes equation |
|
|
6 |
9-12 |
F |
Vorticity transport in fluid motion |
|
|
7 |
9-15 |
M |
Physis of vorticity transport, Stokes theorem |
Set 5 |
|
8 |
9-16 |
T |
Review on dimensional analysis |
Set 6 |
|
9 |
9-18 |
R |
Dynamic similarity in fluid mechanics |
|
|
10 |
9-19 |
F |
Laminar-turbulent transition: bypass versus natural |
|
|
11 |
9-22 |
M |
Linear stability theory, Orr-Sommerfeld equation |
|
|
12 |
9-23 |
T |
Viscous versus inviscid stability |
Set 10 |
|
1 |
9-25 |
R |
Scales of turbulence |
|
|
14 |
9-26 |
F |
Reynolds decomposition: mean equation |
|
|
15 |
9-29 |
M |
Closure problem of turbulence, physical interpretation of Reynolds stress |
|
|
16 |
9-30 |
T |
Reynolds decomposition: second moment equation, Reynolds stress budget |
|
|
17 |
10-2 |
R |
Overview of statistics and Fourier transform, energy spectrum | |
|
18 |
10-3 |
F |
Auto-correlation, idea of decorrelation length and time | |
|
19 |
10-6 |
M |
Two-point correlation, space-time correlation, inference on turbulent structure | |
|
20 |
10-7 |
T |
Mid-term | |
|
21 |
10-9 |
R |
Categorization of turbulent flows | |
|
22 |
10-10 |
F |
Homogeneous turbulence: isotropic, uniform strain rate | |
|
23 |
10-13 |
M |
Wall shear turbulence: viscous sublayer, wall coordinates | |
|
24 |
10-14 |
T |
Wall shear turbulence: log layer, buffer layer | |
|
Fall Break |
||||
|
25 |
10-20 |
M |
Wall shear turbulence: outer layer |
|
|
26 |
10-21 |
T |
Free shear turbulence: mixing layers | |
|
27 |
10-23 |
R |
Free shear turbulence: jets, wakes |
|
|
28 |
10-24 |
F |
Overview of measurement techniques |
|
|
29 |
10-27 |
M |
Hot wire anemometry, laser Doppler anemometry |
|
|
30 |
10-28 |
T |
Particle image velocimetry, vorticity measurement | |
|
31 |
10-30 |
R |
Hierarchy of turbulence prediction |
|
|
32 |
10-31 |
F |
Direct numerical simulation |
|
|
33 |
11-3 |
M |
Large eddy simulation |
|
|
34 |
11-4 |
T |
Classification of RANS model, algebraic model | |
|
35 |
11-6 |
R |
Two-equation model: k-e model |
|
|
36 |
11-7 |
F |
Two-equation model: k-w model |
|
|
37 |
11-10 |
M |
One-equation transport equation |
|
|
38 |
11-11 |
T |
Reynolds stress model |
|
|
39 |
11-13 |
R |
Comparison between RANS models; detached eddy simulation |
|
|
40 |
11-14 |
F |
Course wrap-up |
|
|
Final |
|
|
To be announced | |