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Experimental characterization of surface-piercing turbulent wake flows
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Experimental characterization of surface-piercing turbulent wake flows

David Butler
University of Iowa
Master of Science (MS), University of Iowa
Spring 2026
DOI: 10.25820/etd.008425
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Abstract

Surface-piercing bluff body wakes govern the surface signature, drag, and flow control strategies of naval vessels, and drive wake-induced erosion of structures such as bridge piers. The deformable free surface produces anisotropic mass and momentum transfer that remains poorly characterized experimentally, particularly for sharp trailing edge geometries within the subcritical Froude number regime. High-fidelity experimental data is needed to compute and validate the eddy viscosity and diffusivity tensors via the macroscopic forcing method (MFM) for the closure of the Reynolds-averaged Navier-Stokes. In this work, the turbulent wakes of two 2D surface-piercing models, a triangular wedge and a slender extended wedge, were characterized over $Re_L=O(10^4-10^5)$ and $Fr_L=0.1-1$. Complemented by fluorescent dye visualization, planar PIV was used to measure the shear layer, color-encoded dual-plane PIV to synchronously resolve the near-surface and sub-surface wake, and stereoscopic PIV to obtain a cross-stream measurement. At low Froude numbers, the interface behaved as a rigid free-slip wall, stabilizing the wake such that the periodic shedding component accounted for 40-50\% of the near-surface streamwise fluctuations. As the Froude number increased, the deformable interface progressively delayed and suppressed K\'{a}rm\'{a}n shedding, producing a 38\% elongation of the near-surface recirculation region for the triangle, attenuation of the dominant peak in the transverse-velocity power spectra, a near half-cycle phase lag between the near-surface and sub-surface shedding, and a loss of coherence in swirling strength. Stereo PIV directly resolved a mean counter-rotating streamwise vortex pair near the interface that is responsible for the suppression. A term-by-term analysis of the mean streamwise vorticity transport equation identifies surface-normal tilting as the dominant production mechanism of the streamwise vorticity. In contrast to prior results for surface-piercing circular cylinders, the fixed separation point concentrates the horizontal shear and the competing surface-parallel tilting term does not cancel the surface-normal tilting.
Free surface Vorticity transport Wake flow

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