Spectra of turbulence in dilute polymer solutions

Nonlinear Sciences – Chaotic Dynamics

Scientific paper

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14 pages, RevTeX

Scientific paper

10.1063/1.1577563

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.

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