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Criteria for Shear Banding in Time-Dependent Flows of Complex Fluids

Moorcroft, R.L.; Fielding, S.M.

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Authors

R.L. Moorcroft



Abstract

We study theoretically the onset of shear banding in the three most common time-dependent rheological protocols: step stress, finite strain ramp (a limit of which gives a step strain), and shear startup. By means of a linear stability analysis we provide a fluid-universal criterion for the onset of banding for each protocol, which depends only on the shape of the experimentally measured time-dependent rheological response function, independent of the constitutive law and internal state variables of the particular fluid in question. Our predictions thus have the same highly general status, in these time-dependent flows, as the widely known criterion for banding in steady state (of negatively sloping shear stress vs shear rate). We illustrate them with simulations of the Rolie-Poly model of polymer flows, and the soft glassy rheology model of disordered soft solids.

Citation

Moorcroft, R., & Fielding, S. (2013). Criteria for Shear Banding in Time-Dependent Flows of Complex Fluids. Physical Review Letters, 110(8), Article 086001. https://doi.org/10.1103/physrevlett.110.086001

Journal Article Type Article
Publication Date Feb 1, 2013
Deposit Date Mar 19, 2013
Publicly Available Date Jun 3, 2014
Journal Physical Review Letters
Print ISSN 0031-9007
Electronic ISSN 1079-7114
Publisher American Physical Society
Peer Reviewed Peer Reviewed
Volume 110
Issue 8
Article Number 086001
DOI https://doi.org/10.1103/physrevlett.110.086001

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Copyright Statement
© 2013 American Physical Society







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