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: https://stern.lab.uiowa.edu/me6260-viscous-flow-spring-2024
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 Topics |
Week(1)
| 1.2,1.3,1.4,1.5,1.17,1.24 Due 03/22 | Chapter 1&2 Preliminary Concepts & Fundamental Equations of Compressible Viscous Flow |
| Week(2) | Problems: Dr Zhaoyuan Wang | Continued |
| Week(3) | Motions: Dr. Zhaoyuan | (6.1) Reference Frames and Coordinate Systems (6.2) Solution NS for 6DoF Solid Body (6.3) Curvilinear Coordinate Systems |
| Week(4) | 3.2, 3.5, 3.9, 3.14, 3.17, 3.37 Due 3/22 | Chapter 3 Solutions of the Newtonian Viscous-Flow Equations Topics (1)-(4) Couette/Poiseuille/Gravity and Free Surface Topic (5) Unsteady |
| Week(5) | Topic (5) Unsteady (Continued) Topic (6) Suction and Injection Topic (7) Wind-Driven | |
| Week(6) | Topic (8) Similarity | |
| Week(7) | Topic (8) Similarity (Continued) Topic (9) Stokes | |
| Week(8) | Topic (9) Stokes (Continued) Project Discussion | |
| Week 3/11 | Spring Break | |
| Week(9) | Midterm Exam Chapter 3 Topics 1-4 (75 points) Exam Chapter 3 Topics 5-9 (75 points) | |
| Week(10) | 4.10, 4.11, 4.17, 4.18, 4.37 4.40, 4.41 Due 04/08 | |
| Week(11) | Continued | |
| Week(12) | Chapter 5 The Stability of Laminar Flows Topic (1) Background/Concepts and Theory Topic (2) Exchange of Stabilities | |
| Week(13) | Topic (3) Kelvin-Helmholtz Instability Topics (4)–(6) Orr-Sommerfeld Equation and Instability Parallel Flows | |
| Week(14) | Topic (7) Turbulent Transition and Transition Modeling | |
| Week(15) | Chapter 6 Incompressible Instantaneous and Turbulence Modeling |
Project Final Presentations
Exam Chapter 4 Topic 2 (75 points)
Exam Chapter 4 Topic 3 (75 points)
Exam Chapter 5 (100 points)
[1] Selected incompressible flow topics mostly without heat transfer