ME6260 (058:260) Viscous Flow
Spring 2026

Instructor:                  Professor Frederick Stern frederick-stern@uiowa.edu

TA:                             Christian Milano christian-milano@uiowa.edu

Time/Location:         TTH, 09:30 – 10:45 AM 2133 Seamans Center

Primary Textbook[1]:

no

Viscous Fluid Flow, 4th Edition, ISBN10: 0073529311 | ISBN13: 9780073529318, By Frank White and Joseph Majdalani © 2022

 

 

 

Secondary Textbooks:

on

Academic Press; 6th edition (June 19, 2015), ISBN-10: ‎9780124059351, ISBN-13: ‎978-0124059351

 

 

 

 

o

Ronald L. Panton, First published:24 July 2013, Print ISBN:9781118013434 |Online, ISBN:9781118713075 |DOI:10.1002/9781118713075, Copyright © 2013 John Wiley & Sons, Inc. 

 

 

 

 

4th Edition, First Published 2012, eBook Published 6 August 2012, DOI https://doi.org/10.1201/b12495 ,

p

 eBook ISBN 9780429098888

 

 

 

 

Course Description

Viscous flow is at the heart of fundamental fluid mechanics and mastering its governing differential equations (GDEs), boundary conditions (BCs), exact solutions and approximations and their solutions, and stability and transition is imperative for those who wish to become experts in either theoretical or applied fluids engineering. The goal of Viscous Flow is to guide the students through the theory and its application whereby they attain competency for industrial practice and/or academic research. The most important GDEs and BCs are derived generally but ultimately with focus on incompressible constant property flows.  Vorticity theorems, non-inertial reference frames, and curvilinear coordinates are described. Exact solutions include Couette, Poiseuille, gravity, unsteady, suction and injection, wind-driven, and non-linear similarity flows. Approximations and their solutions include low Reynolds number linearized creeping motion Stokes flows, lubrication, and boundary layers (including wall and free shear flows). Stability and transition include linear theory (normal modes and perturbations), Kelvin-Helmholtz, exchange of stabilities, Orr-Sommerfeld equation (inviscid and viscous parallel flows), and turbulent transition. The prerequisite for the class is introductory such as 57:020 (ENGR:2510) and intermediate such as ME:5160:0001 level fluid mechanics courses.  Students are graded based on class project and homework assignments.  The class website is used for lectures and provides all the class material needed other than the textbooks: ME:6260 Viscous Flow.  The class is complementary to ME:7268 Turbulent Flow and other advanced fluid mechanics courses.

 

Syllabus, Assignments and Grading

Syllabus is attached below, including dates for lectures, reading and homework (HW) assignments, and class project.  Final grade is based on HW (250) + class project (250) = 500 total points.

Project proposal: motivation, background, 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
2.1,2.7,2.12,2.14,2.15,2.16   

Due 02/16

Chapter 1&2 Preliminary Concepts & Fundamental Equations of Compressible Viscous Flow
(1)   Historical Outline and Examples of Viscous Flow
(2) Fluid properties
(3) Fundamental Equations of Compressible Viscous Flow

Week(2) 

Continued

 (4) Boundary Conditions for Viscous Flow Problems: Dr Zhaoyuan Wang

Week(3) 

Project Proposals Due

(5) Vorticity Considerations for Incompressible Viscous Flow

(6.1) Reference Frames and Coordinate Systems

Week(4) 

(6.2) Solution NS for 6DoF Solid Body Motions: Dr. Zhaoyuan Wang

(6.3) Curvilinear Coordinate Systems

Week(5)

3.2, 3.5, 3.9, 3.14, 3.17, 3.37

Due 03/09

Chapter 3 Solutions of the Newtonian Viscous-Flow Equations

Topics (1)-(4) Couette/Poiseuille/Gravity and Free Surface Flows

Topic (5) Unsteady Flows

Week(6) 

Topic (6) Suction and Injection

Topic (7) Wind-Driven

Topic (8) Non-Linear Similarity

Week(7) Topic (9) Stokes Flows
 
Week(8) Topic (10) Lubrication
Week 3/16Spring Break  
Week(9)

4.10, 4.11, 4.17, 4.18, 4.37, 4.40, 4.41

Due 04/20  

Class Project Progress Presentations

Chapter 4 Laminar Boundary Layers

Topics (1)-(2) Background/Concepts, Theory, and Equations

Similarity Solutions

Momentum Integral Methods

Boundary Layer Separation

Week(10) Continued
Week(11) Topic (3) Free Shear Flows
Week(12) Additional Topics (4)
Week(13) 

Chapter 5 The Stability of Laminar Flows

     Topic (1) Background/Concepts and Theory

     Topic (2) Exchange of Stabilities

Week(14) 

Topic (3) Kelvin-Helmholtz Instability

Topics (4) – (6) Orr-Sommerfeld Equation and Instability Parallel Flows

Week(15) Topic (7) Turbulent Transition and Transition Modeling
05/08End of Classes 
  Class Project Final Presentations

            

 


[1] Selected incompressible flow topics mostly without heat transfer