Universality in oscillating flows

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 omega tau, where omega is the oscillation (angular) frequency and tau is the fluid relaxation time; geometry and lin...

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Bibliographic Details
Published in:Physical review letters 2008-12, Vol.101 (26), p.264501-264501, Article 264501
Main Authors: Ekinci, K L, Karabacak, D M, Yakhot, V
Format: Article
Language:English
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Summary: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 omega tau, where omega is the oscillation (angular) frequency and tau is the fluid relaxation time; geometry and linear dimension bear no effect on the flow. Energy dissipation of mechanical resonators in a rarefied gas follows this universality closely in a broad linear dimension (10(-6) m < L < 10(-2) m) and frequency (10(5) Hz < omega/2pi < 10(8) Hz) range. Our results suggest a deep connection between flows of simple and complex fluids.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.101.264501