Offered every fall term.
Brief description:
AMATH 463/663 is an introductory course in fluid mechanics and is a continuation of the continuum mechanics course AMATH 361. The study of fluid mechanics requires a variety of mathematical techniques. We will make use of vector calculus, complex analysis and methods for solving ordinary and partial differential equations. Familiarity with these topics is essential and assumed knowledge.
Outline of topics:
- Derive the equations of motion in a rotating frame (Chapters 1-4)
- Vorticity Dynamics, Irrotational Flow, Aerofoil Theory (Chapters 5, 6, 15)
- Water Waves (Chapter 7)
- Laminar Flow and Boundary Layer Theory (Chapters 9,10)
- Introduction to Turbulence (Chapter 13)
- Geophysical Fluid Dynamics (Chapter 14)
Prerequisite:
AMATH 353 or PHYS 365 and AMATH 361
Recommended textbook:
Fluid Mechanics (3rd Edition) by P.K. Kundu & I.M. Cohen, Academic Press, 2004.
Course web page:
The course web page.
* Students taking this course as a graduate course will do extra work.