MATH 8377 Mathematical Fluid Mechanics
This course provides an introduction to fundamental aspects of mathematical fluid mechanics. Topics include classification of fluids, flow characteristics, dimensional analysis, derivations of Euler, Bernoulli and Navier-Stokes equations, complex analysis for two-dimensional potential flows, exact solutions for simple cases of flow such as plane Poiseuille flow, and Couette flow. The course also introduces mathematical methods applied to problems in fluid dynamics. Particular attention is given to the power of dimensional analysis and scaling arguments. Topics include particle motion, flow kinematics, conservation laws and vorticity, boundary layers and asymptotic models, and water waves. Course material could be supplemented by classroom and laboratory demonstrations.
Prerequisite
Departmental approval
Offered
As scheduled