Instructor: Prof. Tony Saad
Phone Number: 801 585 0344
Office Hours: Fridays from 2-3:30 PM or Announced in Class
Office Location: CME 115
Teaching Assistant: Mokbel Karam
Office Hours: Fridays from 1:00 – 3:00 PM.
Course Catalog Description
After completing the course, students must be able to:
- Specify governing equations and boundary conditions for fluid flow problems.
- Simplify the Navier-Stokes equations as applied to a given flow situation as much as is possible without substantial loss of accuracy.
- Calculate velocity distributions for simple flows and find forces on solid objects using analytical methods.
- Use physical intuition in conjunction with the governing PDEs to obtain analytical solutions that predict the effects of experimental parameters on laminar flows occurring in practical engineering problems.
- Analyze and interpret the results, and reformulate the problem if necessary to find an appropriate solution.
- Describe and explain the introductory concepts of turbulent flows, non-Newtonian flows, viscoelastic flows, and computational fluid dynamics.
Textbook & Reading Material:
The following textbooks will be used in this course:
- James O. Wilkes: Fluid Mechanics for Chemical Engineers, Prentice Hall (3rd Edition) [You can also find this book online at the Marriott Library on safari books online]
- Bird, Stewart, Lightfoot: Transport Phenomena
- James A. Fay: Introduction to Fluid Mechanics, MIT Press, ISBN: 0262061651. This book is out of print but you can probably find used copies on amazon. I will also provide you with scanned pages as needed.
Other useful references (will also provide you with PDF scans as needed):
- Frank M. White, Fluid Mechanics (8th Edition) ISBN: 0073398276
- Munson et al., Introduction to Fluid Mechanics
- Frank M. White, Viscous Flow
Click here for All Lectures – hosted on my youtube channel under the Advanced Fluid Mechanics playlist
Wilkes 1, Fay 1, Munson 1, White 1
|2||Wed||21-Aug||Review of vector algebra and calculus 1||
Wilkes 5.1-5.3, Wilkes Appendix C, Fay 1
Review of vector algebra and calculus 2
|4||Mon||26-Aug||Conservation laws, Eulerian/Lagrangian Views, Material derivative, Reynolds transport theorem||Fay 3.1-3.2, Fay 5.2, White 3.1-3.2, Munson 4||HW1 out|
|5||Wed||28-Aug||Conservation of Mass: Integral form + examples||
Fay 3.3, White 3.3, Munson 5.1
|6||Fri||30-Aug||Conservation of Mass: Differential form + examples||
Wilkes 5.5, Munson 6.2, White 4.2
Labor Day – no class
HW1 due, HW2 out
|7||Wed||4-Sep||Linear Momentum Balance: Forces||
Fay 2.1-2.2, Fay 5.2
|8||Fri||6-Sep||Integral form of momentum balance||
Fay 5, White 3.4, Munson 5.2
Differential form of momentum balance
HW2 due, HW3 out
Inviscid Flows 1
|11||Fri||13-Sep||Inviscid Flows 2||Wilkes 5.4-5.5|
The Viscous Stress tensor 1
HW3 due, HW4 out
|13||Wed||18-Sep||The Viscous Stress tensor 2||Wilkes 5.7|
Derivation of the Navier-Stokes equations
|15||Mon||23-Sep||Navier-Stokes equations example 1||Wilkes 6||
HW4 due, HW5 out
Navier-Stokes equations example 2
Navier-Stokes equations example 3
Review for Midterm
|19||Wed||2-Oct||Intro to Scaling and Non-Dimensionalization: Falling Ball Example||Cengel 7.1|
Fall Break, no class
Fall Break, no class
Fall Break, no class
|20||Mon||14-Oct||Exam 1 Solution and discussion||Wilkes 14|
|21||Wed||16-Oct||Introduction to CFD and Comsol||Wilkes 13.1-13.2, 14||Proj. Ideas Due|
|22||Fri||18-Oct||Scaling of NS Equations||Cengel 9|
|23||Mon||21-Oct||Dimensional Analysis||Wilkes 4.10||HW7 out|
Examples of dimensional analysis
Vorticity formulation of the N-S equations
|26||Mon||28-Oct||Stream functions||Wilkes 7.1-7.8||
HW7 due, HW8 out
Example: Creeping flow around a sphere
Stokes flow, Stokes flow around a sphere
Velocity potential and irrotational flows
HW8 due, HW9 out
Example of irrotational flows
|31||Fri||8-Nov||Boundary Layer theory||Wilkes 8.1-8.7|
|32||Mon||11-Nov||Finish B.L theory, lubrication approximation||Wilkes 8.8||
HW8 due, HW9 out
|33||Wed||13-Nov||Introduction to turbulence||Wilkes 9|
RANS model of turbulent momentum transport
HW9 due, HW10 out
Mixing length theory, alternative transport models
|38||Mon||25-Nov||Generalization of Newton’s law of viscosity||Wilkes 11|
Two- and four-parameter models of non-Newtonian (apparent) viscosity
No class – Day after thanksgiving
Linear viscoelastic models
Final exam, in normal classroom
Addressing Sexual Misconduct
Title IX makes it clear that violence and harassment based on sex and gender (which includes sexual orientation and gender identity/expression) is a Civil Rights offense subject to the same kinds of accountability and the same kinds of support applied to offenses against other protected categories such as race, national origin, color, religion, age, status as a person with a disability, veteran’s status or genetic information. If you or someone you know has been harassed or assaulted, you are encouraged to report it to the Title IX Coordinator in the Office of Equal Opportunity and Affirmative Action, 135 Park Building, 801-581-8365, or the Office of the Dean of Students, 270 Union Building, 801-581-7066. For support and confidential consultation, contact the Center for Student Wellness, 426 SSB, 801-581-7776. To report to the police, contact the Department of Public Safety, 801-585-2677(COPS).
All instances of academic misconduct will be handled in accordance with the Student Code (http://regulations.utah.edu/academics/6-400.php).
Students with Disabilities (ADA)
The University of Utah seeks to provide equal access to its programs, services, and activities for people with disabilities. If you will need accommodations in this class, reasonable prior notice needs to be given to the Center for Disability Services, 162 Olpin Union Building, (801) 581-5020. CDS will work with you and the instructor to make arrangements for accommodations. All written information in this course can be made available in an alternative format with prior notification to the Center for Disability Services.
Important Safety Information
The University of Utah values the safety of all campus community members. To report suspicious activity or to request a courtesy escort, call campus police at 801-581-COPS (801-585-2677). You will receive important emergency alerts and safety messages regarding campus safety via text message. For more information regarding safety and to view available training resources, including helpful videos, visit https://safeu.utah.edu