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Article Dans Une Revue Physical Review E Année : 2023

Vibration-induced streaming flow near a sharp edge: Flow structure and instabilities in a large span of forcing amplitude

Geyu Zhong
Yingwen Liu
Xiaofeng Guo
Laurent Royon
Philippe Brunet

Résumé

The steady streaming generated near solid walls by the periodic forcing of a viscous fluid is known to be strongly enhanced near sharp structures, owing to centrifugal effects that lead to the generation of an intense jet from the sharp tip. This flow has been shown to provide efficient active mixing in microchannels, due to strong transverse velocity. The forcing is often prescribed by acoustic transducers, but it can also be generated from low-frequency time-periodic flow ensured by mechanical vibrations. In this paper, we study the flow structure generated by low-frequency forcing (typically 10 Hz) around a sharp tip. Using direct numerical simulations, we extract both the time-periodic and steady responses within a large span of amplitude of vibrations. When the amplitude is smaller than the tip radius of curvature, we recover the flow structure observed at higher frequencies (>1 kHz) in previous studies, namely, an intense symmetric central jet and a quadratic dependence for the characteristic streaming velocity with the oscillating velocity v s ∼ v 2 a. At higher amplitudes, such a scaling no longer holds and the streaming flow pattern loses its left-right symmetry. We then analyze the mechanisms of the instability from the careful examination of the instationary flow fields, and we propose possible mechanisms for such a flow transition involving the coupling between the streaming jet and instationary vorticity.
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Dates et versions

hal-04293192 , version 1 (18-11-2023)

Identifiants

Citer

Geyu Zhong, Yingwen Liu, Xiaofeng Guo, Laurent Royon, Philippe Brunet. Vibration-induced streaming flow near a sharp edge: Flow structure and instabilities in a large span of forcing amplitude. Physical Review E , 2023, 107 (2), pp.025102. ⟨10.1103/PhysRevE.107.025102⟩. ⟨hal-04293192⟩
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