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Pumping and steady streaming driven by two-frequency oscillations of a cylinder
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DOI：10.1017/jfm.2026.11734.png)
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Abstract
En 中文
The classical problem of steady streaming induced by an oscillating object has been studied extensively; but prior work has focused almost exclusively on single-frequency oscillations; which result in symmetric; quadrupole-like flows. Here we demonstrate that dual-frequency oscillations induce asymmetric steady streaming with a non-zero net flux in a direction determined by the polarity of the oscillation – the oscillator serves as a pump. We use numerical simulations and asymptotic analysis at small amplitude to examine two-dimensional steady streaming around a cylinder; first focusing on frequency ratio 2. The computational experiments show asymmetrical streaming and pumping; i.e. net flux downstream. It is well known from asymptotic analysis that steady streaming is second order in amplitude; and we show that pumping occurs at third order. We then extend the analysis to general frequency ratios; where we give necessary conditions for pumping; and predict the order in amplitude at which pumping occurs. Finally; we corroborate the theoretical results with computational simulations for different frequency ratios; and we discuss the implications for using dual-mode vibrations to pump fluids in lab-on-a-chip and other applications.
Keywords:
microfluidics
general fluid mechanics
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3.9
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2.0W
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9.4W
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