Spectra of turbulence in dilute polymer solutions

We investigate turbulence in dilute polymer solutions when polymers are strongly stretched by the flow. We establish power-law spectrum of velocity, which is not associated with a flux of a conserved quantity, in two cases. The first case is the elastic waves range of high Reynolds number turbulence...

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Bibliographic Details
Published in:arXiv.org 2002-07
Main Authors: Fouxon, A, Lebedev, V
Format: Article
Language:English
Subjects:
Coils
Dilution
Elastic waves
Fluid dynamics
Fluid flow
High Reynolds number
Polymers
Reynolds number
Turbulence
Turbulent flow
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Summary:We investigate turbulence in dilute polymer solutions when polymers are strongly stretched by the flow. We establish power-law spectrum of velocity, which is not associated with a flux of a conserved quantity, in two cases. The first case is the elastic waves range of high Reynolds number turbulence of polymer solutions above the coil-stretch transition. The second case is the elastic turbulence, where chaotic flow is excited due to elastic instabilities at small Reynolds numbers.
ISSN:2331-8422
DOI:10.48550/arxiv.0207008