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Universality and scaling behavior of injected power in elastic turbulence in wormlike micellar gel

Majumdar, Sayantan and Sood, AK (2011) Universality and scaling behavior of injected power in elastic turbulence in wormlike micellar gel. In: Physical Review E - Statistical, Nonlinear and Soft Matter Physics, 84 (1, Par).

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Official URL: http://pre.aps.org/abstract/PRE/v84/i1/e015302

Abstract

We study the statistical properties of spatially averaged global injected power fluctuations for Taylor-Couette flow of a wormlike micellar gel formed by surfactant cetyltrimethylammonium tosylate. At sufficiently high Weissenberg numbers the shear rate, and hence the injected power p(t), at a constant applied stress shows large irregular fluctuations in time. The nature of the probability distribution function (PDF) of p(t) and the power-law decay of its power spectrum are very similar to that observed in recent studies of elastic turbulence for polymer solutions. Remarkably, these non-Gaussian PDFs can be well described by a universal, large deviation functional form given by the generalized Gumbel distribution observed in the context of spatially averaged global measures in diverse classes of highly correlated systems. We show by in situ rheology and polarized light scattering experiments that in the elastic turbulent regime the flow is spatially smooth but random in time, in agreement with a recent hypothesis for elastic turbulence.

Item Type: Journal Article
Additional Information: Copyright of this article belongs to The American Physical Society.
Department/Centre: Division of Physical & Mathematical Sciences > Physics
Depositing User: Id for Latest eprints
Date Deposited: 30 Aug 2011 05:52
Last Modified: 30 Aug 2011 05:52
URI: http://eprints.iisc.ac.in/id/eprint/40042

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