Fundamentals of Compressible Flow

Dynamics of inviscid and viscous compressible fluids through the Euler and Navier-Stokes equations coupled with thermodynamic relations. The course will cover jump equations for one-dimensional normal shock; entropy condition; Riemann invariants and characteristics; linear acoustic waves; unsteady inviscid one-dimensional flow (shock, expansion fan, contact discontinuity); eigenvalue analysis of Euler equations; channel flow with heat addition and friction; flow in nozzles and inlets; steady supersonic flow in two-dimensions (oblique shock waves, Prandtl-Meyer expansion); lift and drag of thin airfoils for supersonic flows; small disturbance theory. Prerequisites: undergraduate background in fluid mechanics and thermodynamics.