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    Hydrodynamic instabilities of active jets

    Marco Vona1, Isabelle Eisenmann2, Nicolas Desprat2, Raphaël Jeanneret2,*, Takuji Ishikawa3, and Eric Lauga1,†

    • 1Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, United Kingdom
    • 2Laboratoire de Physique de l'École normale supérieure, ENS, Université PSL, CNRS, Sorbonne Université, Université Paris Cité, F-75005 Paris, France
    • 3Department of Biomedical Engineering, Tohoku University, 6-6-01, Aoba, Aramaki, Aoba-ku, Sendai 980-8579, Japan

    • *Contact author: raphael.jeanneret@phys.ens.fr
    • †Contact author: e.lauga@damtp.cam.ac.uk

    Phys. Rev. Fluids 10, 113101 – Published 6 November, 2025

    DOI: https://doi.org/10.1103/pbzf-svnr

    Abstract

    Using a combination of theory, experiments, and numerical simulations, we investigate the stability of coherent structures in a suspension of strongly aligned active swimmers. We show that a dilute jet of pullers undergoes a pearling instability, while a jet of pushers exhibits a helical (or, in two dimensions, zigzag) instability. We further characterize the nonlinear evolution of these instabilities, deriving exact and approximate solutions for the spreading and mutual attraction of puller clusters, as well as the wavelength coarsening of the helical instability. Our theoretical predictions closely match the experimentally observed wavelengths, timescales, and flow fields in suspensions of photophobic algae, as well as results from direct numerical simulations. These findings reveal the intrinsic instability mechanisms of aligned active suspensions and demonstrate that coherent structures can be destabilized by the flows they generate.

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    See Also

    Pure Hydrodynamic Instabilities in Active Jets of Puller Microalgae

    Isabelle Eisenmann, Marco Vona, Nicolas Desprat, Takuji Ishikawa, Eric Lauga, and Raphaël Jeanneret
    Phys. Rev. Lett. 135, 198301 (2025)

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