Law-of-the-wall analysis for turbulent heating on rough surfaces

An engineering boundary-layer technique that accounts for surface roughness is presented. A law-of-the-wall solution procedure is used for the boundary-layer equations cast in a form to account for the blockage effect of the roughness elements. The effect of roughness is described by a sink term in the momentum equation and a source term in the static enthalpy equation. Law-of-the-wall profiles that explicitly account for roughness height, spacing and type are developed. Predictions are in good agreement with representative flat-plate and sharp-cone data.