Fluid Dynamics I - 535.620

This first graduate course in fluid dynamics starts from derivation of the flow equations and examines a number of limiting behaviors. When viscous effects are ignored all together, we obtain the familiar limit of potential flow. Boundary layer theory is introduced to examine the effect of viscosity near surfaces. And in the limit where viscosity is dominant, we obtain what is known as “creeping flow” where inertia can be ignored all together. Our approach will rely on developing the theory and considering classical examples in order to advance our understanding of fluid motion in each of these areas.