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    Network dynamics and suppression of spray combustion instability in a backward-facing step combustor

    Kenta Kato1, Hiroshi Gotoda1,*, Yusuke Nabae1, Maho Kawai2, and Ryoichi Kurose2

    • 1Department of Mechanical Engineering, Tokyo University of Science, 6-3-1 Niijuku, Katsushika-ku, Tokyo, 125-8585, Japan
    • 2Department of Mechanical Engineering and Science, Kyoto University, Kyoto daigaku-Katsura, Nishikyo-ku, Kyoto, 615-8540, Japan

    • *Contact author: gotoda@rs.tus.ac.jp

    Phys. Rev. Applied 24, 014002 – Published 1 July, 2025

    DOI: https://doi.org/10.1103/zhkg-c3kh

    Abstract

    We numerically study the network dynamics and suppression of spray combustion instability in a backward-facing step combustor from the perspective of a complex network. We observe the appearance, disappearance, and reappearance of a scale-free topology in a turbulence network. A scale-free topology appears when a large-scale organized vortex is formed, whereas it disappears upon the collapse of the organized vortex. A spatially irregular retention of primary hubs occurs in the turbulence network, which is closely associated with the collapse motion of a large-scale organized vortex. Spray combustion instability is significantly suppressed by placing an obstacle at the location where connector communities are mostly formed in the turbulence network.

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