The algorithm of the theoretical method proposed by the authors using the speed hodograph plane and simple waves for solving the problem of coupling a two-dimensional flow in terms of flow is considered. This technique allows you to determine the boundaries of the free flow of a turbulent flow and its parameters in the flow area. it is revealed that using both planes physical OXYZ and hodograph G (,) it is possible to solve the problem uniquely analytically. All verification calculations were performed in the MathCad package. The calculation results showed a satisfactory convergence of model and experimental parameters in the free flow model, which does not exceed 10 % by error before the flow expansion within = 7; = B/b.