Abstract
Correlations between the properties of a rough surface and their associated drag are a very useful tool in engineering. Here, we assess the effect of different scales of roughness by numerically simulating the flow over surfaces constructed by band-passing the spectral content of a scanned grit-blasted surface. Although the velocity fluctuations are found overall to be resilient to the changes, we find existing drag correlations to be only qualitatively useful, while dispersive stresses (associated with mean flow inhomogeneity) are shown to depend on the roughness spectral content.
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