Using laminar-flow velocity profiles to locate the wall behind roughness elements
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abstract
Boundary-layer experiments that use hotwire anemometry often perform least-squares fits of the boundary-layer velocity profile to estimate the position of the wall in the hotwire's coordinate frame. This approach fails in the wake of roughness elements where the profile is nonlinear at the wall. A modified approach makes least-squares fits only at selected locations outside roughness wakes and estimates the wall location across entire lines using a function generated from these estimates. Comparing these two approaches shows that the first produces incorrect results just behind roughness elements but that the techniques produce identical results farther down-stream.
