Simon Fraser University
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Course Outlines

Spring 2020 - MATH 462 D100

Fluid Dynamics (3)

Class Number: 3741

Delivery Method: In Person

Overview

  • Course Times + Location:

    Jan 6 – Apr 9, 2020: Mon, Wed, Fri, 12:30–1:20 p.m.
    Burnaby

  • Exam Times + Location:

    Apr 19, 2020
    Sun, 12:00–3:00 p.m.
    Burnaby

  • Prerequisites:

    one of MATH 314, MATH 418, PHYS 384. An alternative to the above prerequisite is both of MATH 251 and 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:

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

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
ISBN: 9780198596790

RECOMMENDED READING:

Introduction to the Physics of Fluids and Solids
James S. Trefil
Dover; 2010
ISBN: 9780486474373

Registrar Notes:

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

ACADEMIC INTEGRITY: YOUR WORK, YOUR SUCCESS