Thin film extensional flow of a transversely isotropic viscous fluid

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dc.contributor.authorHopwood, M.J.
dc.contributor.authorHarding, B.
dc.contributor.authorGreen, J.E.F.
dc.contributor.authorDyson, R.J.
dc.date.issued2023
dc.description.abstractMany biological materials such as cervical mucus and collagen gel possess a fibrous microstructure. This microstructure affects the emergent mechanical properties of the material and hence the functional behavior of the system. We consider the canonical problem of stretching a thin sheet of transversely isotropic viscous fluid as a simplified version of the spinnbarkeit test for cervical mucus. We propose a solution to the model constructed by Green and Friedman by manipulating the model to a form amenable to arbitrary Lagrangian-Eulerian (ALE) techniques. The system of equations, reduced by exploiting the slender nature of the sheet, is solved numerically, and we discover that the bulk properties of the sheet are controlled by an effective viscosity dependent on the evolving angle of the fibers. In addition, we confirm a previous conjecture by demonstrating that the center line of the sheet need not be flat, and perform a short timescale analysis to capture the full behavior of the center line.
dc.description.statementofresponsibilityM. J. Hopwood, B. Harding, J. E. F. Green, and R. J. Dyson
dc.identifier.citationPhysical Review Fluids, 2023; 8(11):113301-1-113301-33
dc.identifier.doi10.1103/physrevfluids.8.113301
dc.identifier.issn2469-990X
dc.identifier.issn2469-990X
dc.identifier.orcidGreen, J.E.F. [0000-0001-5061-9563]
dc.identifier.urihttps://hdl.handle.net/2440/140318
dc.language.isoen
dc.publisherAmerican Physical Society (APS)
dc.rights© 2023 American Physical Society
dc.source.urihttps://doi.org/10.1103/physrevfluids.8.113301
dc.subjectLubrication theory; Thin fluid films; Complex fluids; Fluid Dynamics; Nonlinear Dynamics; Physics of Living Systems
dc.titleThin film extensional flow of a transversely isotropic viscous fluid
dc.typeJournal article
pubs.publication-statusPublished online

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