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A steady-state formulation for laminar flow is employed within a region extending from the boundary layer approaching separation downstream to the axial station of the sonic point on the axis. Included are the formation of the lip shock wave, the growth of the mixing layer into the rotational inviscid wake of the boundary layer, the recirculation region, and the wake shock wave. The entire flow is treated as a viscous interaction problem. Passage of the solution through two saddle-point singularities determines uniqueness and insures that the downstream behavior is the proper one for wake flows. The flow is divided into two regions; an inner region, which includes the recirculating flow, is determined by an integral method, while an outer region employs a finite-difference technique. A rigorous matching of the flow between the two regions is included. The model is applied to a Mach 6 wedge flow corresponding to an experimental case of Batt. NomenclatureD = base diameter h = static enthalpy H = total enthalpy; also total base height h^ = cross-stream metric /z s = streamwise metric L = body length M = Mach number M = mass flow n = distance normal to streamlines P = pressure P t2 = pitot pressure Pr = Prandtl number r = radial coordinate Re = Reynolds number s = distance along streamlines 5 = streamwise orthogonal coordinate T 0 = total temperature u = axial velocity U = total velocity v = radial velocity x = axial coordinate y = lateral coordinate (a = 0) a = dimensionality factor (0 for two-dimensional flow, 1 for axisymmetric flow) 6 = radial coordinate of matching streamline { = vorticity 6 = flow angle A = 1 + a . /i = viscosity { = profile parameter p 0 ujp d u d p = density d = profile exponent T = shearing stress 0! = profile parameter hjh d 02 = profile parameter (d/h d )(dh/dr) d O = viscous dissipation term \l/ = streamfunction and orthogonal coordinate Presented as Paper 70-792 at . the authors wish to express their appreciation to M. A. Bilyk for his expert programing of the method outlined in the present paper, and to K. J. Touryan and P. J. Roache at the Sandia Corp. for their invaluable computing support. Subscripts c = cone DSL = dividing streamline inv = inviscid o = centerline s = wake stagnation point w = wedge d = matching streamline oo = freestream flow conditions

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