Summer 2022 - MATH 462 D100

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

• Instructor:

David Muraki
muraki@sfu.ca
1 778 782-4814
• 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.

• 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

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