MATH 8377 Advanced Fluid Mechanics
This course provides theoretical aspects of mathematical fluid mechanics and applications. 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 also include particle motion, flow kinematics, conservation laws and vorticity, boundary layers and asymptotic models, and water waves. Course material may be supplemented by classroom and laboratory demonstrations.
Prerequisite
Consent of Instructor.
Offered
As scheduled