ME6260
(058:260) Viscous Flow
Spring
2024
Instructor: Professor Frederick Stern
Time/Location: TTH 9:30-10:45 a.m. Lectures at 4030SC
After class Office Hours
Or by
appointment Frederick-stern@uiowa.edu
Text: Primary:
Viscous Fluid Flow, F. White, 4th Edition, 2022, McGraw Hill[1]
Secondary:
Fluid Mechanics, P. Kundu, I. Cohen, D. Rowling, 6th Edition, Elsevier
Incompressible
Flow, R. Panton, 4th Edition, John Wiley & Sons, Inc.
Fundamental Mechanics of Fluids, I.G. Currie, 4th Edition, CRC Press
Class Web Site: http://user.engineering.uiowa.edu/~me_260/Viscous_flow_main.htm
Course Description
Equations and boundary conditions of viscous flow; classical analytical solutions; laminar boundary layers and free shear flows; stability of laminar flows; and turbulent flow.
Objective and Approach
Provide a comprehensive and rigorous treatment of viscous flow, which is an important topic in modern fluids engineering, including detailed study of the underlying mathematical physics principles and modeling for selected topics with wide-ranging applications. More advanced topics are introduced. Viscous flow can be considered as a terminal course for M.S. students and as a sound foundation for other advanced courses such as inviscid, turbulent, or compressible flows; combustion theory; interfacial flow and transport processes; multiphase flow and transport processes; computational fluid dynamics and heat transfer; and independent and/or M.S. and Ph.D. study research. The subject material is covered through class lectures, text and other reading, homework problems, and class project.
Syllabus, Assignments and Grading
Syllabus is attached, including dates for lectures, reading and homework (HW) assignments, class project and exams. Class project consists of independent study by each student in general area of viscous flow mathematical physics principles and modeling, including proposal and class presentation. Final grade is based on HW (100) + class project (150) + exams (250) = 500 total points. Exams and point breakdown are shown in the syllabus. Exams are open textbook only.
Project proposal: objective, approach, references, anticipated results
Project outline: objective, approach, results, conclusions
Grading: technical quality 75%; organization and presentation 25%
UI and CoE Course
Guidelines
See university guidelines (required elements of syllabi )that include specific language regarding free speech and expression, accommodations for students with disabilities, and class absences for religious holy days: https://provost.uiowa.edu/student-course-policies, which include statements regarding your attendance and academic integrity/misconduct policies, specifically stating the penalty/sanctions for academic misconduct. The College of Engineering website details the process and highlights examples of offenses against the Code of Academic Honesty.
Syllabus
Date Assignments Class
Topic
1_____________________________________________________________________________
Week
01/15 Chapter 1&2 Preliminary
Concepts & Fundamental Equations of Compressible Viscous Flow
(1) Historical
Outline and Examples of Viscous Flow
1.2,1.3,1.4,1.5,1.17,1.24 (2) Fluid properties
2.1,2.7,2.12,2.14,2.15,2.16 (3) Fundamental Equations of Compressible
Due 03/22 Viscous Flow
2_____________________________________________________________________________
Week 01/22 Continued
(4)
Boundary Conditions for Viscous Flow
Problems: Dr Zhaoyuan Wang
(5)
Vorticity Considerations for Incompressible
Viscous Flow
3
Week 01/29 (6.1)
Reference Frames and Coordinate Systems
(6.2) Solution NS
for 6DoF Solid Body Motions:
Dr. Zhaoyuan
Wang
(6.3) Curvilinear
Coordinate Systems
4_____________________________________________________________________________
Week
02/05 Chapter 3 Solutions of the
Newtonian Viscous-Flow
Equations
3.2, 3.5, 3.9, 3.14,
3.17, 3.37 Topics (1)-(4)
Couette/Poiseuille/Gravity and Free
Due 03/22 Surface
Topic
(5) Unsteady
5_____________________________________________________________________________
Week 02/12 Topic
(5) Unsteady (Continued)
Topic
(6) Suction and Injection
Topic
(7) Wind-Driven
6_____________________________________________________________________________
Week 02/19 Topic
(8) Similarity
7_____________________________________________________________________________
Week 02/26 Topic
(8) Similarity (Continued)
Topic
(9) Stokes
8_____________________________________________________________________________
Week 03/04 Topic
(9) Stokes (Continued)
Project
Discussion
Week 03/11 Spring Break
9____________________________________________________________________________
Week 03/18 Midterm
Exam Chapter 3 Topics 1-4 (75
points)
Exam
Chapter 3 Topics 5-9 (75 points)
10____________________________________________________________________________
Week 03/25 Chapter
4 Laminar Boundary Layers
4.10, 4.11, 4.17, 4.18, 4.37 Topics (1)-(2) Background/Concepts and
Theory
4.40, 4.41
Due 04/08
11____________________________________________________________________________
Week 04/01 Continued
12____________________________________________________________________________
Week 04/08 Chapter
5 The Stability of Laminar Flows
Topic
(1) Background/Concepts and Theory
Topic
(2) Exchange of Stabilities
13____________________________________________________________________________
Week
04/15 Topic
(3) Kelvin-Helmholtz Instability
Topics
(4)–(6) Orr-Sommerfeld Equation and Instability
Parallel Flows
14___________________________________________________________________________
Week 04/22 Topic
(7) Turbulent Transition and Transition Modeling
15____________________________________________________________________________
Week 04/29 Chapter
6 Incompressible Instantaneous and Mean Turbulent Flow
Turbulence
Modeling
05/03 Close of Classes
______________________________________________________________________________
Project
Final Presentations
Exam
Chapter 4 Topic 2 (75 points)
Exam Chapter 4
Topic 3 (75 points)
Exam Chapter 5
(100 points)