Viscous Flows and Boundary Layers

An introduction to the mechanics of viscous flows. The kinematics and dynamics of viscous flows. Exact solutions to the Navier-Stokes equations. Lubrication theory. The behavior of vorticity. The boundary layer approximation. Laminar boundary layers with and without pressure gradients. Introduction to stability. Introduction to turbulence. Several case studies will be introduced to expose students to fluid mechanics themes in biology, polymer processing, complex fluids and reacting flows.