The Reynolds number effects and scaling on response and recovery of flow over square bar roughness elements are numerically examined at a range of Reynolds numbers between 5 × 103 and 1.56 × 105. The square bar roughness element has a height of 0.05D, where D is the pipe diameter. The response is examined using streamline plots and reattachment lengths. An asymptotic trend is observed in reattachment lengths with increasing the Reynolds number. The recovery is examined quantitatively by tracing the transport of Reynolds shear stress downstream of the roughness element. While the overall trend for recovery is similar for all Reynolds numbers, the collapse of stresses toward the wall appears earlier at lower Reynolds numbers. The recovery trends follow a power-law of diffusion toward the centerline. The point of initial response, that is, the point of collapse, appears independent from the effects of Reynolds numbers at Re ≥ 5.0 × 104.
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