Export citation

Export citation

Choose format for download:

Download Citation

    Interplay between streaks and vortices in shock-boundary layer interactions with conditional bubble events over a turbine airfoil

    Hugo Felippe da Silva Lui* and William Roberto Wolf

    • *Contact author: hugolui@unicamp.br

    Phys. Rev. Fluids 11, 013401 – Published 13 January, 2026

    DOI: https://doi.org/10.1103/sy5g-jz1m

    Abstract

    The shock-boundary layer interaction (SBLI) over the convex wall of a supersonic turbine vane is studied with a focus on extreme separation bubble events and the interplay between the bubble, streaks, and streamwise vortices. The present analysis is performed on a dataset computed by a wall-resolved large-eddy simulation (LES) of a supersonic turbine at Mach number 2.0 and Reynolds number of 395 000. Building on findings related to near-wall streaks and vortices that drive the bubble breathing motion, here, we employ conditional analysis to study extreme bubble events. First, mean and turbulence statistics are computed to examine differences between expanding and contracting bubble states. Then, finite-time Lyapunov exponent calculations are used to understand the interactions between streaks and streamwise vortices along large and small separation bubble events. Additionally, a deforming control volume methodology is applied to analyze the mass imbalance within the bubble and to identify regions that are more susceptible to mass inflow and outflow. In events where the recirculation region is small, near-wall high-speed streaks penetrate the bubble and lead to higher tangential Reynolds stresses upstream of the incident shock compared with those with large recirculation. The streaks are accompanied by streamwise vortices that meander and induce intense fluid mixing, leading to higher wall-normal and spanwise Reynolds stresses, and consequently, higher turbulent kinetic energy. This turbulent activity also causes intense fluctuations in wall pressure and skin-friction coefficient along the separation region. In contrast, during events with bubble expansion, high-speed streaks are advected over the separation region, with streamwise vortices appearing only downstream of the shock, resulting in minimal fluid mixing inside the bubble. The analysis of mass flux along the bubble surface reveals that during its contraction phase, mass flux out of the bubble occurs predominantly upstream of the incident shock because of high-speed streaks dragged toward the wall by the streamwise vortices. In the expansion phase, pronounced mass flux into the bubble is observed downstream of the shock, near reattachment. This increased fluid injection is associated with the presence of streamwise vortices and low-momentum flow structures near reattachment, suggesting that fluid entrainment by vortices plays a key role in the mass flux into the bubble.

    Physics Subject Headings (PhySH)

    Authorization Required

    We need you to provide your credentials before accessing this content.

    Supplemental Material (Subscription Required)

    References (Subscription Required)

    Outline

    Information

    Sign In to Your Journals Account

    Filter

    Filter

    Article Lookup

    Enter a citation