Hemingway, Ewan J. and Kusumaatmaja, Halim and Fielding, Suzanne M. (2017) 'Edge fracture in complex fluids.', Physical review letters., 119 (2). 028006.
We study theoretically the edge fracture instability in sheared complex fluids, by means of linear stability analysis and direct nonlinear simulations. We derive an exact analytical expression for the onset of edge fracture in terms of the shear-rate derivative of the fluid’s second normal stress difference, the shear-rate derivative of the shear stress, the jump in shear stress across the interface between the fluid and the outside medium (usually air), the surface tension of that interface, and the rheometer gap size. We provide a full mechanistic understanding of the edge fracture instability, carefully validated against our simulations. These findings, which are robust with respect to choice of rheological constitutive model, also suggest a possible route to mitigating edge fracture, potentially allowing experimentalists to achieve and accurately measure flows stronger than hitherto possible.
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|Publisher Web site:||https://doi.org/10.1103/PhysRevLett.119.028006|
|Publisher statement:||Reprinted with permission from the American Physical Society: Physical Review Letters 119, 028006 © (2017) by the American Physical Society. Readers may view, browse, and/or download material for temporary copying purposes only, provided these uses are for noncommercial personal purposes. Except as provided by law, this material may not be further reproduced, distributed, transmitted, modified, adapted, performed, displayed, published, or sold in whole or part, without prior written permission from the American Physical Society.|
|Date accepted:||14 July 2017|
|Date deposited:||17 July 2017|
|Date of first online publication:||14 July 2017|
|Date first made open access:||17 July 2017|
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