“…• half-angle variable-bluntness cone at zero angle of attack with similar nosetip bluntness values, which have also been shown to transition from laminar to turbulent flow without significant predicted amplification of first-or second-mode instability for smooth nosetips with radius larger than 1 mm and sufficient freestream Reynolds numbers. 66 A subset of the smooth cases, with R N = 5.08 mm and R N = 15.24 mm, have been repeated with 15 µm laser-machined roughness elements of approximately cubical shape located on the circle at 45 degrees from the apex of the spherical tip, which is near the sonic line for zero angle of attack. The array of roughness elements has been designed following the transient growth results of subsection III.C.…”