High-spatial-resolution PIV measurements of a self-similar adverse pressure gradient turbulent boundary layer at the verge of separation

This study presents high-spatial-resolution two-component, two-dimensional particle image velocimetry (PIV) measurements of a self-similar adverse pressure gradient turbulent boundary layer (SS-APG-TBL) at the verge of separation. The experiments were performed in the LTRAC APG-TBL wind tunnel, where the flexible roof was adjusted to impose the pressure distribution required for self-similar development within the test section. The APG-TBL had a Reynolds number based on the boundary-layer thickness of R e δ = 7 . 9 × 1 0 4 , and the Clauser pressure-gradient parameter β = 18 . 8 was maintained throughout the measurement domain. A dual-camera 2C-2D PIV system was employed to capture both large-field and near-wall velocity fields, enabling accurate measurement of the flow adjacent to the wall. Calibration procedures, including lens-distortion correction and camera-overlap alignment, were performed to ensure sub-pixel accuracy in the velocity fields. The probability density and cumulative distribution functions of the instantaneous streamwise velocity adjacent to the wall are used to assess the wall-shear condition and demonstrate that the boundary layer is at the verge of separation. The probability density distribution peaks near zero and exhibits positive skewness, indicating a near-zero mean with intermittent high-velocity events. The results confirm a low-skin-friction state consistent with incipient separation, with nearly constant wall-shear stress across the measurement stations. Furthermore, the mean-velocity defect and Reynolds stresses collapse when expressed in self-similar variables, providing strong experimental evidence of a self-similar APG-TBL at moderate Reynolds number. The present database establishes an experimental benchmark, extending the study of SS-APG-TBLs beyond direct numerical simulation and to higher Reynolds numbers, and offers a new reference for turbulence modelling and theoretical analyses of self-similar adverse pressure gradient turbulent boundary layers. • Self-similar APG-TBL at the verge of separation created with a contoured tunnel roof. • Dual-camera 2C-2D PIV combined high spatial resolution with a large field of view. • Near-zero wall shear stress confirmed by near-wall velocity PDF. • Mean-defect and Reynolds stresses collapse under self-similar scaling. • Experimental database at β ≈ 20 . 3 and Re δ ≈ 7 . 9 × 1 0 4 for SS-APG-TBL studies.

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Publication Details

Journal
Experimental Thermal and Fluid Science
Published
2026-03-07
DOI
https://doi.org/10.1016/j.expthermflusci.2026.111730
Primary Topic
Fluid Dynamics and Turbulent Flows
Type
article
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article

High-spatial-resolution PIV measurements of a self-similar adverse pressure gradient turbulent boundary layer at the verge of separation

Alireza Heidarian, Bihai Sun, Callum Atkinson, Ziqi Chen et al.
Experimental Thermal and Fluid Science
Fluid Dynamics and Turbulent Flows
article

High-spatial-resolution PIV measurements of a self-similar adverse pressure gradient turbulent boundary layer at the verge of separation

Alireza Heidarian, Bihai Sun, Callum Atkinson, Ziqi Chen, Julio Soria
article en

Abstract

This study presents high-spatial-resolution two-component, two-dimensional particle image velocimetry (PIV) measurements of a self-similar adverse pressure gradient turbulent boundary layer (SS-APG-TBL) at the verge of separation. The experiments were performed in the LTRAC APG-TBL wind tunnel, where the flexible roof was adjusted to impose the pressure distribution required for self-similar development within the test section. The APG-TBL had a Reynolds number based on the boundary-layer thickness of R e δ = 7 . 9 × 1 0 4 , and the Clauser pressure-gradient parameter β = 18 . 8 was maintained throughout the measurement domain. A dual-camera 2C-2D PIV system was employed to capture both large-field and near-wall velocity fields, enabling accurate measurement of the flow adjacent to the wall. Calibration procedures, including lens-distortion correction and camera-overlap alignment, were performed to ensure sub-pixel accuracy in the velocity fields. The probability density and cumulative distribution functions of the instantaneous streamwise velocity adjacent to the wall are used to assess the wall-shear condition and demonstrate that the boundary layer is at the verge of separation. The probability density distribution peaks near zero and exhibits positive skewness, indicating a near-zero mean with intermittent high-velocity events. The results confirm a low-skin-friction state consistent with incipient separation, with nearly constant wall-shear stress across the measurement stations. Furthermore, the mean-velocity defect and Reynolds stresses collapse when expressed in self-similar variables, providing strong experimental evidence of a self-similar APG-TBL at moderate Reynolds number. The present database establishes an experimental benchmark, extending the study of SS-APG-TBLs beyond direct numerical simulation and to higher Reynolds numbers, and offers a new reference for turbulence modelling and theoretical analyses of self-similar adverse pressure gradient turbulent boundary layers. • Self-similar APG-TBL at the verge of separation created with a contoured tunnel roof. • Dual-camera 2C-2D PIV combined high spatial resolution with a large field of view. • Near-zero wall shear stress confirmed by near-wall velocity PDF. • Mean-defect and Reynolds stresses collapse under self-similar scaling. • Experimental database at β ≈ 20 . 3 and Re δ ≈ 7 . 9 × 1 0 4 for SS-APG-TBL studies.

Experimental Thermal and Fluid ScienceVol. 175
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Fluid Dynamics and Turbulent Flows
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