M E 522, Spring 2017
Foundations of Fluid Mechanics II

Prepared by Professor J. M. Cimbala, Department of Mechanical and Nuclear Engineering at The Pennsylvania State University
Latest revision, 06 April 2017

[Equation sheet]
[Exams]
[Grades]
[Instructor]
[References]
[Syllabus]
[TA]
[Textbook]
[Videos]
Week
Dates
Lecture material
Homework
Exams
Week 1
01/09-01/13
Chapter 10 - 2-D laminar boundary layers (continued from M E 521): free shear flows
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Week 2
01/168-01/20
Chapter 10 - Axisymmetric laminar boundary layers: introduction, equations; Mangler transformation
HW 1
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Week 3
01/23-01/27
Chapter 10 - Three-dimensional laminar boundary layers: introduction, coordinate systems; secondary flow
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Week 4
01/30-02/03
Chapter 11 - Instability: introduction; linear stability theory; method of normal modes
Hadley cells in earth's atmosphere
HW 2
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Week 5
02/06-02/10
Chapter 11 - Instability (continued): the Benard problem; brief summary of some other instabilities
Benard Marginal Stability Curve, Matlab code
HW 3
R_K_for_Blasius_BL.m
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Week 6
02/13-02/17
Chapter 11 - Instability (continued): locally parallel flows; Squire’s theorem; the Orr-Sommerfeld equation
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Exam 1
Week 7
02/20-02/24
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
STAR-CCM+ tutorial
by Matt Erdman
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Week 8
02/27-03/03
Chapter 12 - Turbulence, The Final Frontier: introduction - the characteristics & features of turbulence, definitions
HW 5
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Spring Break
03/06-03/10
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Week 9
03/13-03/17
Chapter 12 - Turbulence (continued) - Turbulence statistics; Reynolds decomposition; turbulent shear stress and the closure problem
HW 6
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Week 10
03/20-03/24
Chapter 12 - Turbulence (continued) - turbulent kinetic energy; Kolmogorov’s contributions; energy scales and the energy cascade
HW 7
hw_07_Problem_02_Benard_results_post.xls
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Week 11
03/27-03/31
Chapter 12 - Turbulence (continued) - the turbulent scales problem and why we need turbulence models
HW 8
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Week 12
04/03-04/07
Chapter 12 - Turbulence Models: introduction to turbulence modeling, zero-, one-, and two-equation models
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Exam 2
BYOS
Week 13
04/10-04/14
Chapter 12 - Turbulence Models (continued) - wall treatment, RSM models, example problems
Turbulence_Model_Summary_Chart.pdf
HW 9
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Week 14
04/17-04/21
Chapter 12 - Turbulence Flow Solutions: turbulent channel flow; turbulent boundary layer
HW 10
Marasli_experimental_wake_data.txt
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Week 15
04/24-04/28
Chapter 12 - Turbulence Flow Solutions (continued): free shear flows: jets, wakes, and mixing layers
OPTIONAL HW 11
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Finals Week
05/01-05/05
The final exam is scheduled for:
Monday May 1, 2017, 8:00 to 9:50 AM, room 271 Willard
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Final Exam
BYOS