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Interplay of edge fracture and shear banding in complex fluids

Hemingway, Ewan J.; Fielding, Suzanne M.

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Authors

Ewan J. Hemingway



Abstract

We explore theoretically the interplay between shear banding and edge fracture in complex fluids by performing a detailed simulation study within two constitutive models: the Johnson–Segalman model and the Giesekus model. We consider separately parameter regimes in which the underlying constitutive curve is monotonic and nonmonotonic, such that the bulk flow (in the absence of any edge effects) is, respectively, homogeneous and shear banded. Phase diagrams of the levels of edge disturbance and of bulk (or quasibulk) shear banding are mapped as a function of the surface tension of the fluid–air interface, the wetting angle where this interface meets the walls of the flow cell, and the imposed shear rate. In particular, we explore in more detail the basic result recently announced by Hemingway and Fielding [Phys. Rev. Lett. 120, 138002 (2018)]: that precursors to edge fracture can induce quasibulk shear banding. We also appraise analytical predictions that shear banding can induce edge fracture [S. Skorski and P. D. Olmsted, J. Rheol., 55, 1219 (2011)]. Although a study of remarkable early insight, Skorski and Olmsted [J. Rheol., 55, 1219 (2011)] made some strong assumptions about the nature of the “base state,” which we examine using direct numerical simulation. The basic prediction that shear banding can cause edge fracture remains valid but with qualitatively modified phase boundaries.

Citation

Hemingway, E. J., & Fielding, S. M. (2020). Interplay of edge fracture and shear banding in complex fluids. Journal of Rheology, 64(5), Article 1147. https://doi.org/10.1122/8.0000086

Journal Article Type Article
Online Publication Date Aug 28, 2020
Publication Date 2020-09
Deposit Date Oct 7, 2020
Publicly Available Date Oct 8, 2020
Journal Journal of Rheology
Print ISSN 0148-6055
Electronic ISSN 1520-8516
Publisher American Institute of Physics
Peer Reviewed Peer Reviewed
Volume 64
Issue 5
Article Number 1147
DOI https://doi.org/10.1122/8.0000086
Related Public URLs https://arxiv.org/abs/2005.09405

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Copyright Statement
© 2020 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in
Hemingway, Ewan J. & Fielding, Suzanne M. (2020). Interplay of edge fracture and shear banding in complex fluids. Journal of Rheology 64(5): 1147 and may be found at https://doi.org/10.1122/8.0000086





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