NONLINEAR UNSTEADY SUPERSONIC-FLOW ANALYSIS FOR SLENDER BODIES OF REVOLUTION - SERIES SOLUTIONS, CONVERGENCE AND RESULTS

In Ref. [6] the authors constructed analytical solutions including one arbitrary function for the problem of nonlinear, unsteady, supersonic flow analysis concerning slender bodies of revolution due to small am plitude oscillations. An application describing a flow past a right ci rcular cone was presented and the constructed solutions were given in the form of infinite series through a set of convenient boundary and i nitial conditions in accordance with the physical problem. In the pres ent paper we develop an appropriate convergence analysis concerning th e before mentioned series solutions for the specific geometry of a rig id right circular cone. We succeed in estimating the limiting values o f the series producing velocity and acceleration resultants of the pro blem under consideration. Several graphics for the velocity and accele ration flow fields are presented. We must underline here that the prop osed convergence technique is unique and can be applied to any other g eometry of the considered body of revolution.