Uniform Flows with Small Perturbations
This chapter addresses the principles of small perturbation theory, where a high speed incoming flow is perturbed by slender bodies aligned or quasi aligned to the flow. Steady state is assumed. The equation of the potential ϕ associated with irrotational compressed flow is simplified for subsonic and supersonic regimes, where the problem is linear. The nonlinear equation governing the behavior of steady three-dimensional transonic flow is presented. A derivation is given for the pressure coefficient. The chapter discusses the problem of two-dimensional steady flow over a periodic-shaped wall both in the linear subsonic and supersonic regimes.