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The spacings and heights of the roughness elements are random as measured from the original randomly- rough surface, but the roughness elements were generated by placing ellipsoidal blockages of equivalent area and eccentricity at the height of the original random blockage element. Because the blockage elements were created at distinct heights between the mean hydraulic elevation and the ma ximum elevation of the surface, the layered-analog surfaces have a “layered” appearance. The layered representation of the Deposit surface, the Deposit Layered surface, is shown in Figure 6.
The plastic density is 1207 kg/m3 ±2%. For heat transfer measurements, the hanging cf balance was removed and the six roughness panels were mounted on a 12- mm thick plexiglass sheet. This plexiglass sheet has approximately the same thermophysical properties as the plastic panels to avoid thermal wave reflections at the contact surface. A thermocouple sandwiched between the panels and the plexiglass sheet indicated a slight rise in temperature after approximately 30 seconds for the typical test case.
As expected, this model is adequate for the Deposit Cone surface because it is sparse. For the closely-packed cones of the Erosion Cone surface, this method greatly overestimates the drag. If a 10% uncertainty in the experimental data is assumed, then setting a datum at the mean hydraulic surface and adding shear on the area at the datum not blocked by flow models the surfaces well. Modeling the surfaces referenced to the mean hydraulic elevation and adding the wall shear to the skin friction coefficient on the area of the -16- reference surface not blocked by flow has a very low percentage difference for the Deposit Cone surface and barely exceeds the assumed uncertainty bands for the Erosion Cone surface.