NONLINEAR UNSTEADY SUPERSONIC-FLOW ANALYSIS FOR SLENDER BODIES OF REVOLUTION - THEORY

We construct analytical solutions for the problem of nonlinear superso nic flow past slender bodies of revolution due to small amplitude osci llations. The method employed is based on the splitting of the time de pendent small perturbation equation to a nonlinear time independent pa rtial differential equation (P.D.E.) concerning the steady flow, and a linear time dependent one, concerning the unsteady flow. Solutions in the form of three parameters family of surfaces for the first equatio n are constructed, while solutions including one arbitrary function fo r the second equation are extracted. As an application the evaluation of the small perturbation velocity resultants for a flow past a right circular cone is obtained making use of convenient boundary and initia l conditions in accordance with the physical problem.