Comparison of correlations of Shuttle boundary-layer transition due to distributed roughness

The transition criteria for the windward surface of the Shuttle Orbiter, which is composed of a large number of thermal protection tiles, must include the effect of distributed roughness arising from joints and possible tile misalignments. Theoretical flow-field parameters and heat-transfer distributions were used to analyze boundary-layer transition data. Data were obtained for Mach numbers from 8 to 12 over a Reynolds number range from 1.8 million to 17.6 million with surface temperatures from 0.114 to 0.435 T sub t. The transition correlations were approximately the same both for the misaligned-tile models and for the grit-roughened model. The incipient value Re sub K, tr was 15, the critical value was 85, the effective value was 190.