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    Effect of expansion geometry on turbulence in axisymmetric pipe flows

    Jibu Tom Jose, Gal Friedmann, Dvir Feld, and Omri Ram*

    • *Contact author: omri.ram@technion.ac.il

    Phys. Rev. Fluids 11, 034607 – Published 16 March, 2026

    DOI: https://doi.org/10.1103/572s-84gk

    Abstract

    We investigate the influence of expansion geometry on the flow field and turbulence structure in axisymmetric pipe flows through comparative analysis of abrupt (90∘) and gradual (45∘) area expansions with an area ratio of 2.56 at step-height Reynolds numbers of 25 000 and 35 000. Using refractive-index-matched stereo particle image velocimetry, we extract turbulence statistics with high spatial resolution. The gradual expansion consistently yields elevated turbulence levels, broader shear layers, enhanced Reynolds stress anisotropy, and stronger out-of-plane fluctuations. In contrast, the abrupt expansion generates a secondary vortex that disrupts the return flow, reducing shear layer interaction and turbulent kinetic energy (TKE) production. The governing mechanism is attributed to the geometry-induced modulation of the return flow. In the gradual case, the return flow is aligned with the sloped surface and impinges obliquely on the free-stream, generating a distributed region of high shear and sustained turbulence production leading to intensified TKE and anisotropy in the near-expansion region. These findings reconcile prior observations of increased pressure loss in sloped expansions and reveal the fundamental role of expansion slope in controlling turbulence generation and energy redistribution in separated flows. The observed trends suggest a generalizable mechanism relevant to a broader range of expansion angles and flow conditions.

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