Transition Induced by an Egg-Crate Roughness on a Flat Plate in Supersonic Flow
Measurements were made in the wake of a roughness patch with a hot wire to determine mode shapes and frequencies of the dominant instabilities. The egg-crate roughness pattern is an analytic function described by a sinusoidal equation, similar to arrays of discrete elements that are positioned in a spanwise and streamwise grid, which were considered in previous computations. This is an intermediate configuration toward understanding the underlying physics of pseudorandom distributed roughness. At a freestream unit Reynolds number of10.8×106/m, the boundary layer did not transition within the measurement region. The largest amplitude boundary layer instability was centered near 53 kHz and appeared to be similar to an antisymmetric mode centered behind the region downstream of all of the peaks in the egg-crate roughness. This mode was similar to a mode found to have the highest N factor in previous computational studies. At a freestream unit Reynolds number of12.6×106/m, the boundary layer transitioned to turbulence. The dominant instability was centered near 74 kHz and grew linearly before saturating and breaking down. The mode shape of the 74-kHz mode was again an antisymmetric mode centered behind all of the peaks in the egg-crate roughness.