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MATH556 - Introduction to Fluid Mechanics

Fundamentals including continuum hypothesis surface tension, classical thermodynamics, and transport phenomena. Introduction to Cartesian tensors. Kinematics of flow including Lagrangian and Eulerian descriptions, streamline, path line, streak line, vorticity and circulation. Derivation of the conservation laws for mass, momentum, and energy and a detailed description of the Boussinesq approximation. Conservation laws in a rotating frame. Vortex lines and tubes, role of viscosity in vortices, Kelvin's circulation theorem, the vorticity equation in nonrotating and rotating frames. Irrotational flow including its relevance, velocity potential, sources and sinks, and flow past various shapes. Gravity waves in deep and shallow water with and without surface tension in both the linear and nonlinear contexts. Dynamic similarity and Buckingham's Pi Theorem. Prerequisites: One of MATH 311, 411 and MATH 436 or consent of Instructor.

Winter Term 2015

Lecture Sections

Winter Term 2015 - LEC Q1 (96918)

MW 14:00:00 - 15:20:00 (C W4 44)
Instructor: krechet@ualberta.ca - Profile
Fall Term 2009

Lecture Sections

Fall Term 2009 - LEC A1 (32418)

MWF 14:00:00 - 14:50:00 (CAB 457)
Instructor: bmoodie@ualberta.ca - Profile
Fall Term 2008

Lecture Sections

Fall Term 2008 - LEC A1 (53067)

MWF 14:00:00 - 14:50:00 (CAB 457)
Instructor: bmoodie@ualberta.ca - Profile
Fall Term 2007

Lecture Sections

Fall Term 2007 - LEC A1 (92566)

MWF 14:00:00 - 14:50:00 (CAB 457)
Instructor: bmoodie@ualberta.ca - Profile