Simon Fraser University
Engaging the World

Course Outlines

Spring 2024 - MATH 762 G100

Fluid Dynamics (3)

Class Number: 7726

Delivery Method: In Person

Overview

  • Course Times + Location:

    Jan 8 – Apr 12, 2024: Mon, Wed, Fri, 11:30 a.m.–12:20 p.m.
    Burnaby

  • Exam Times + Location:

    Apr 15, 2024
    Mon, 8:30–11:30 a.m.
    Burnaby

Description

CALENDAR DESCRIPTION:

Incompressible fluid flow phenomena: kinematics and equations of motion, viscous flow and boundary layer theory, potential flow, water waves. Aerodynamics. Students may not take a 700-division course if it is being offered in conjunction with a 400-division course which they have taken previously.

COURSE DETAILS:

Math 762 offering will have an extra emphasis on application relevant to the understanding of the Earth's environmental systems.

1. Kinetics and dynamics: Particle paths, streamlines & streamfunctions Velocity fields & local analysis of fluid motion Conservation of mass & momentum, Euler’s equations Fluid Pressure & Bernoulli’s principle Rotational flow & vorticity
2. Inviscid flows: 2D potential flow & complex variable theory Early theory of flight: aerodynamic lift & drag Water waves & vortices Theory of sound waves
3. Viscosity Theory of viscosity & the Navier-Stokes equations Flows in simplified geometries: shear flows, Couette & Poiseuille flow Dynamic similarity & the Reynolds number Stokes drag on a moving sphere Boundary-layer theory
4. Geophysical flows (time permitting) Shallow-water theory & Rossby waves MATH 762 is cross-listed with the undergraduate section MATH 462. Students enrolled in the graduate section (MATH 762) will be assigned addtional homework questions.

Grading

  • Weekly Assignments (equally weighted) 40%
  • Midterm 25%
  • Final Exam 35%

NOTES:

During the term, mathematics graduate students will also work on special computational projects of their choice.

Materials

REQUIRED READING:

Elementary Fluid Dynamics D.J. Acheson Oxford Univ Press; 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

REQUIRED READING NOTES:

Your personalized Course Material list, including digital and physical textbooks, are available through the SFU Bookstore website by simply entering your Computing ID at: shop.sfu.ca/course-materials/my-personalized-course-materials.

Graduate Studies Notes:

Important dates and deadlines for graduate students are found here: http://www.sfu.ca/dean-gradstudies/current/important_dates/guidelines.html. The deadline to drop a course with a 100% refund is the end of week 2. The deadline to drop with no notation on your transcript is the end of week 3.

Registrar Notes:

ACADEMIC INTEGRITY: YOUR WORK, YOUR SUCCESS

SFU’s Academic Integrity website 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