“…Lee et al (2011) presumed that the failure of the wall-similarity could be attributed to the regularized roughness array with a square-shaped plane and a long streamwise spacing, which would be sufficient to significantly disrupt the structures, although the roughness effects of the 3D cube were less significant than those of the 2D rod. Lee et al (2012) recently attempted to observe the effects of the streamwise spacing on the turbulence statistics, both in the nearwall region and in the outer layer, for 2D rods and 3D cubes. They varied the streamwise spacing over the values p x /k = 2, 3, 4, 6, 8, and 10, while holding the spanwise spacing fixed, at the value used in the previous study (p z /k = 2).…”