M E 522, Spring 2018
Foundations of Fluid Mechanics II

Prepared by Professor J. M. Cimbala, Department of Mechanical and Nuclear Engineering at The Pennsylvania State University
Latest revision, 13 April 2018

[Equation sheet]
[Exams]
[Grades]
[Instructor]
[References]
[Syllabus]
[TA]
[Textbook]
[Videos]
Week
Dates
Lecture material
Homework
Exams
Week 1
01/08-01/12
Chapter 10 - 2-D laminar boundary layers (continued from M E 521): free shear flows
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Week 2
01/15-01/19
Chapter 10 - Axisymmetric laminar boundary layers: introduction, equations; Mangler transformation
HW 1
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Week 3
01/22-01/26
Chapter 10 - Three-dimensional laminar boundary layers: introduction, coordinate systems; secondary flow
R_K_for_Blasius_BL.m
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Week 4
01/29-02/02
Chapter 11 - Instability: introduction; linear stability theory; method of normal modes
Hadley cells in earth's atmosphere
Cool current global map of wind
Kelvin_Helmholtz_clouds_over_mountain.jpg
HW 2
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Week 5
02/05-02/09
Chapter 11 - Instability (continued): the Benard problem; brief summary of some other instabilities
Benard Marginal Stability Curve, Matlab code
HW 3
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Week 6
02/12-02/16
Chapter 11 - Instability (continued): locally parallel flows; Squire’s theorem; the Orr-Sommerfeld equation
Youtube video: NSF Instability film with corrected sound
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Exam 1
Week 7
02/19-02/23
Chapter 11 - Instability (continued): the Rayleigh equation; transition to turbulence
Cimbala, Nagib, Roshko 1988 JFM paper: Far Wakes
Youtube video, T-S waves
HW 4
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Week 8
02/26-03/02
Chapter 12 - Turbulence, The Final Frontier: introduction - the characteristics & features of turbulence, definitions
HW 5
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Spring Break
03/05-03/09
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Week 9
03/12-03/16
Chapter 12 - Turbulence (continued): Turbulence statistics; Reynolds decomposition; turbulent shear stress and the closure problem
HW 6
hw_06_Problem_02_Benard_POST.xls
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Week 10
03/19-03/23
Chapter 12 - Turbulence (continued): turbulent kinetic energy; Kolmogorov’s contributions; energy scales and the energy cascade
HW 7
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Week 11
03/26-03/30
Chapter 12 - Turbulence (continued): the turbulent scales problem and why we need turbulence models
HW 8
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Week 12
04/02-04/06
Chapter 12 - Turbulence Models: introduction to turbulence modeling, zero-equation models
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Exam 2
BYOS
Week 13
04/09-04/13
Chapter 12 - Turbulence Models (continued): one- and two-equation models, wall treatment
HW 9
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Week 14
04/16-04/20
Chapter 12 - Turbulence Models (continued): RSM models; Turbulent Flow Solutions: turbulent channel flow; turbulent boundary layer
Turbulence_Model_Summary_Chart.pdf
HW 10
hw_10_Problem_04_Post.xlsx
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Week 15
04/23-04/27
Chapter 12 - Turbulent Flow Solutions (continued): free shear flows: jets, wakes, and mixing layers
OPTIONAL HW 11
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Finals Week
04/30-05/04
The final exam is scheduled for:
Monday, April 30, 2:30-4:20 pm, 171 Willard Bldg
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Final Exam
BYOS