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arXiv · 0811.3028

A Universality in Oscillating Flows

K. L. Ekinci·D. M. Karabacak·V. Yakhot
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Abstract

We show that oscillating flow of a simple fluid in both the Newtonian and the non-Newtonian regime can be described by a universal function of a single dimensionless scaling parameter $ωτ$, where $ω$ is the oscillation (angular) frequency and $τ$ is the fluid relaxation-time; geometry and linear dimension bear no effect on the flow. Experimental energy dissipation data of mechanical resonators in a rarefied gas follow this universality closely in a broad linear dimension ($10^{-6}$ m$< L < 10^{-2}$ m) and frequency ($10^5$ Hz $< ω/2π< 10^8$ Hz) range. Our results suggest a deep connection between flows of simple and complex fluids.

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K. L. Ekinci, D. M. Karabacak, V. Yakhot. 2008-11-28. A Universality in Oscillating Flows. https://doi.org/10.1103/physrevlett.101.264501

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