Flows with strong interaction between the viscous and inviscid regions

Flows at high Reynolds numbers can be divided into regions which are essentially inviscid and regions which are dominated by viscous effects. The appropriate scaling rules for interactive flows are shown to include two nondimensional parameters, i.e., (rho x U x L)/mu and L/delta (where L is the characteristic length of the model and delta is the characteristic thickness of the viscous flow region). In order to analyze these flows, one should be able to compute the flows in both the inviscid and in the viscous regions. The interaction effects are obtained then through the iterative calculation involving a scheme for matching the solutions. It is found that convergent solutions are obtained when the computations of the flow particularly in the inviscid region are of high accuracy. This is illustrated in this paper by the discussion of a number of solutions for various subsonic, transonic, supersonic and hypersonic flows.