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February 2, 2026Journal of Fluid Mechanics0 citations

Microstreaming induced by a micro-cantilever vibrating elliptically in a viscous fluid

JGJules GhesquiereGMGustav ModlerSMSaeid Mollaei

Key Points

  • This work aims to investigate the microstreaming generated by a vibrating micro-cantilever and its implications for microscale applications.
  • Experimental characterization of microstreaming in a viscous fluid using a vertically standing micro-cantilever.
  • Modeling the relationship between excitation frequency and resulting streaming flow using a semi-analytical model.
  • Utilizing laser Doppler vibrometry to measure the cantilever's vibration profile.
  • Significant fluid streaming observed at specific frequencies matching the cantilever's vibration modes.
  • Dipolar, circular, and elliptical streaming patterns emerge based on the cantilever's translational modes.
  • Elliptical streaming structures are prevalent, influenced by frequency-dependent dynamics.

Abstract

The acoustically excited vibrations of a micrometric object in a viscous liquid induce a net fluid flow known as microstreaming. This phenomenon can be harnessed for a variety of microscale applications, including particle transport, fluid mixing and the propulsion of micro-swimmers. Acoustic propulsion holds significant promise for in vivo manipulation due to its inherent biocompatibility and remote actuation capability, eliminating the need for an onboard energy source. However, designing steerable swimmers powered by vibrating tails requires a detailed understanding of the relationship between the input acoustic signal and the resulting streaming flow. In this paper, we characterise experimentally and model the microstreaming generated by a vertically standing micro-cantilever attached to a vibrating plate, as a function of the excitation frequency. Significant streaming is observed only at specific frequencies corresponding to the vibration modes of the support, which both translate and bend the cantilever. Computations based on a two-dimensional semi-analytical model enable quantitative predictions of the in-plane streaming flow structure and velocity magnitude, using as input the cantilever’s vibration profile, fully characterised by laser Doppler vibrometry. In particular, comparison between experiments and simulations allows us to rationalise the frequency-dependent emergence of dipolar, circular and elliptical streaming patterns, which are respectively induced by rectilinear, circular and elliptical translations of the cantilever. This analysis also explains the prevalence of elliptical streaming structures observed in our system. Beyond advancing our fundamental understanding of streaming generated by vibrating slender bodies, these results highlight the potential for frequency-based control of micro-swimmers through predictable, mode-specific flow responses.

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Cite This Study

Ghesquiere et al. (2026) studied this question.

synapsesocial.com/papers/6980fe48c1c9540dea810309https://doi.org/10.1017/jfm.2025.10927
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