Part A: Foundations of the mechanics of real fluids. Basic concepts will be emphasized. Subjects covered will include a selection from the following topics: physical properties of real gases; the equations of motion of viscous and inviscid fluids in Lagrangian and Eulerian form; potential flow; flow past bodies; the dynamical significance of vorticity; vortex dynamics; exact solutions of the Navier-Stokes equations. Passive and active scalar mixing. Elements of compressible flow. Part B: Extensions on the foundations of the mechanics of fluids. Transition from incompressible and potential flow to weakly compressible flow, acoustics, sound generation, transonic flow, and fully compressible flow. Extensions to flow past bodies and shock waves. Not offered 2023-24.