Laminar, transitional, and turbulent heat transfer after a sharp convex corner

Abstract

A flow model lias been previously developed for treating the boundary-layer characteristics downstream of a surface discontinuity. The flow field in the neighborhood of the discontinuity or a sharp corner is divided into three regions: the flow upstream of the discontinuity which is obtained by standard techniques, that immediately downstream which is obtained by expanding both the supersonic and subsonic flow fields upstream of the discontinuity inviscidly around the corner, and that downstream of the discontinuity. The flow in the last region is represented by a viscous nonsimilar sublayer that starts at the discontinuity and by a viscous shear layer that has the profiles immediately downstream of the discontinuity as initial conditions. Based upon this flow model, analysis has been developed using the inner and outer expansion techniques. It is the purpose of this report to improve on the treatment of the laminar analysis and to extend the technique of application of this model to include turbulent and transitional flow downstream of the corner. Finally, the results are compared with some of the experimental data available in the literature. It is indicated that good agreement was obtained.