Summer 2022 - MATH 462 D100

Fluid Dynamics (3)

Class Number: 5075

Delivery Method: In Person

Overview

  • Course Times + Location:

    Mo 10:30 AM – 11:20 AM
    WMC 2830, Burnaby

    We 9:30 AM – 11:20 AM
    WMC 2830, Burnaby

  • Exam Times + Location:

    Aug 13, 2022
    12:00 PM – 3:00 PM
    BLU 10655, Burnaby

  • Prerequisites:

    One of MATH 314, MATH 418, PHYS 384, with a minimum grade of C-. An alternative to the above prerequisite is both of MATH 251 and (MATH 260 or MATH 310), both with grades of at least B+.

Description

CALENDAR DESCRIPTION:

Incompressible fluid flow phenomena: kinematics and equations of motion, viscous flow and boundary layer theory, potential flow, water waves. Aerodynamics. Quantitative.

COURSE DETAILS:


Note: the Summer 2022 offering will have an extra emphasis on applications relevant to the understanding of the Earth's environmental systems.

1. Kinetics and dynamics:

Streamlines, particle paths, stream functions
Velocity field, local analysis of fluid motion
Conservation of mass and momentum, Euler’s equations
Bernoulli’s principle
Rotation and vorticity

2. Inviscid flows:
 
Planar potential flow and complex variable theory
Aerodynamic lift and drag
Vorticity dynamics
Waves
 
3. Viscosity
 
Shear stresses, Cauchy stress tensor, rate of strain
Navier-Stokes equations
Flows in simplified geometries: shear flow, Couette flow, Poiseuille flow
Dynamic similarity and the Reynolds number
 
4. Viscous flows (as time permits):
 
Boundary layer theory
Low Reynolds number flow: Stokes flow and lubrication theory

MATH 462 is cross-listed with the graduate section MATH 762.

Grading

  • Weekly Assignments (equally weighted) 40%
  • Active Participation in Class and Canvas Discussions
  • Midterm 25%
  • Final Exam 35%

NOTES:

THE INSTRUCTOR RESERVES THE RIGHT TO CHANGE ANY OF THE ABOVE INFORMATION. 
Students should be aware that they have certain rights to confidentiality concerning the return of course papers and the posting of marks. 
Please pay careful attention to the options discussed in class at the beginning of the semester.

Materials

REQUIRED READING:

Elementary Fluid Dynamics
D.J. Acheson
OUPTO; 1990

This text is not available for purchase at the SFU Bookstore. Copies will be on reserve at the library for short lending periods. Further discussion about the text during the first week of class.
ISBN: 9780198596790

Registrar Notes:

ACADEMIC INTEGRITY: YOUR WORK, YOUR SUCCESS

SFU’s Academic Integrity web site http://www.sfu.ca/students/academicintegrity.html is filled with information on what is meant by academic dishonesty, where you can find resources to help with your studies and the consequences of cheating.  Check out the site for more information and videos that help explain the issues in plain English.

Each student is responsible for his or her conduct as it affects the University community.  Academic dishonesty, in whatever form, is ultimately destructive of the values of the University. Furthermore, it is unfair and discouraging to the majority of students who pursue their studies honestly. Scholarly integrity is required of all members of the University. http://www.sfu.ca/policies/gazette/student/s10-01.html

TEACHING AT SFU IN SUMMER 2022

Teaching at SFU in summer 2022 will involve primarily in-person instruction.  Some courses may be offered through alternative methods (remote, online, blended), and if so, this will be clearly identified in the schedule of classes. 

Enrolling in a course acknowledges that you are able to attend in whatever format is required.  You should not enroll in a course that is in-person if you are not able to return to campus, and should be aware that remote, online, or blended courses study may entail different modes of learning, interaction with your instructor, and ways of getting feedback on your work than may be the case for in-person classes.

Students with hidden or visible disabilities who may need class or exam accommodations, including in the context of remote learning, are advised to register with the SFU Centre for Accessible Learning (caladmin@sfu.ca or 778-782-3112) as early as possible in order to prepare for the summer 2022 term.