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Signature of Pressure Gradient History on Wall Shear Stress in Turbulent Boundary Layers

2025/07/01 by Marco Mattei, Mattei, Marco, Theresa Saxton-Fox +1
Engineering · Physics and Astronomy · #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Turbulent Flows #Model Reduction and Neural Networks #Plasma and Flow Control in Aerodynamics

paper · pdf · doi:10.48550/arxiv.2507.01244

openalex publication_date 2025/07/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Our experiments evaluate the presence of history effects on wall shear stress in turbulent boundary layers (TBLs) subjected to five sequences of favorable and adverse pressure gradients (FAPGs) of increasing strength. Steady but spatially varying FAPGs are imposed on a flat plate using a deformable convex false ceiling. An array of three one-dimensional capacitive probes, positioned in the adverse pressure gradient (APG) region downstream of the favorable pressure gradient (FPG), enables direct and high-frequency measurements of wall shear stress. We first characterize the sensor performance under canonical zero pressure gradient (ZPG) conditions across a range of Reynolds numbers. With increasing FAPG strength, a non-monotonic increase in skin friction and a reduction in normalized wall shear stress fluctuations are observed, indicating long-lasting upstream FPG influence within the downstream APG region. These effects are more pronounced at lower Reynolds numbers. Additionally, the influence of large-scale structures in FAPG on wall shear stress is studied through coherence spectrum, two points cross-correlation, and convection velocity.

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