A new viscous-inviscid iteration procedure is presented which i s applicable to separated flows. me new procedure i s simple, converges rapidly, and does not require numerical smoothing, at least i n the cases computed thus far. Calculations are presented for both incompressible and compressible separated flaw in the juncture region between an axisymetric body and sting. The viscous computation is obtained with a recently developed inverse boundary-layer procedure which i s no more complicated than a standard direct finite-difference boundary-layer technique. The inviscid computation is made with an axisymetric transonic code called RAXBOD, i n which surface injection is used to represent the viscous effects. 1. Symbols skin friction coefficient coefficient of pressure transformed stream function for compressible formulation velocity ratio, ut+ total enthalpy ratio, H/He boundary-layer shape factor total enthalpy total enthalpy at boundary-layer edge interaction iteration index perturbation mass flow Mach number at boundarylayer edge free stream Mach number Prandtl number turbulent Prandtl number Reynolds number based on free stream velocity and body length body radius velocity component parallel to body surf ace *Presently Supervisor, Computational Fluid Dynamics, United Technologies Research Center, E. Htfd., IT. Member AIM. velocity component prallel to body surface at edge of boundary layer ue predicted by viscous calculation ue predicted by inviscid calculation velocity component normal to body surface normal velocity component at body surface coordinate along body surface x-coordinate after Mangler transformation coordinate normal to body surface y-coordinate after Mangler transformation pressure gradient parameter i n incompressible formulation pressure gradient parameter in compressible formulation displacement thickness transformed displacement thickness, 6*ro transformed coordinate along body surface transformed coordinate normal to body surface mmentm thickness transformed momentum thickness,Oro relaxation parameter stream function transformed stream function in Incompressible formulation density density at boundary-layer edge shear stress at body surface 1