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Rheologica Acta

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05.01.2022 | Original Contribution

Analysis of direct force measurements during capillary pinching of visco-elastic fluids in CaBER type experiments

verfasst von: Jasper Van Aeken, Luca Passaro, Christian Clasen

Erschienen in: Rheologica Acta | Ausgabe 3/2022

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Abstract

A novel device is presented for direct measurement of the axial force evolution during the pinching of fluid filaments following an extensional step stretch, based on the “tilted-CaBER.” The bending curve of a horizontally orientation fluid filament is fitted with the full expression of a catenary function, to directly and unambiguously extract the axial force from a single fitting parameter. The general limits of axial force determination from such devices are introduced in terms of a Bond number that accounts for the axial length scale. The new set-up is validated using a Newtonian PDMS oil, for which the axial force scaling and the related prefactors X of the similarity solution are known. For dilute polymer solutions in form of a Boger fluid, the so far theoretical factor X = 1.5 for an Oldroyd-B model fluid could be experimentally approached for the first time with the new setup.

Vorheriger Artikel Application of the tan δ method in the determination of the melting temperature of κ-carrageenan gels in the presence of calcium ions

Nächster Artikel Bagnold velocity profile for steady-state dense granular chute flow with base slip

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Anna SL, McKinley GH, Nguyen DA, Sridhar T, Muller SJ, Huang J, James DF (2001) An interlaboratory comparison of measurements from filament-stretching rheometers using common test fluids. J Rheol 45(1):83–114. https://doi.org/10.1122/1.1332388CrossRef

Arnolds O, Buggisch H, Sachsenheimer D, Willenbacher N (2010) Capillary breakup extensional rheometry (CaBER) on semi-dilute and concentrated polyethyleneoxide (PEO) solutions. Rheol Acta 49(11):1207–1217. https://doi.org/10.1007/s00397-010-0500-7CrossRef

Bazilevsky AV, Entov VM, Rozhkov AN (1990) Liquid filament microrheometer and some of its applications. In: Oliver DR (eds) Third European Rheology Conference and Golden Jubilee Meeting of the British Society of Rheology. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0781-2_21

Behroozi F (2014) A fresh look at the catenary. Eur J Phys 35(5). https://doi.org/10.1088/0143-0807/35/5/055007

Bhardwaj A, Miller E, Rothstein JP (2007) Filament stretching and capillary breakup extensional rheometry measurements of viscoelastic wormlike micelle solutions. J Rheol 51(4):693–719. https://doi.org/10.1122/1.2718974CrossRef

Bhat PP, Appathurai S, Harris MT, Basaran OA (2012) On self-similarity in the drop-filament corner region formed during pinch-off of viscoelastic fluid threads. Phys Fluids 24(8). https://doi.org/10.1063/1.4745179

Boger DV (1977) A highly elastic constant-viscosity fluid. J Nonnewton Fluid Mech 3(1):87–91. https://doi.org/10.1016/0377-0257(77)80014-1CrossRef

Bousfield DW, Keunings R, Marrucci G, Denn MM (1986) Nonlinear analysis of the surface tension driven breakup of viscoelastic filaments. J Nonnewton Fluid Mech 21(1):79–97. https://doi.org/10.1016/0377-0257(86)80064-7CrossRef

Brenner MP, Lister JR, Stone HA (1996) Pinching threads, singularities and the number 0.0304. Physics of Fluids 8(11):2827–2836. https://doi.org/10.1063/1.869086CrossRef

Cardinaels RM (2010) Droplet deformation, breakup and coalescence in shear flow: effects of confinement and component viscoelasticity. Katholieke Universiteit Leuven, PhD Thesis

Clasen C (2010) Capillary breakup extensional rheometry of semi-dilute polymer solutions. Korea-Australia Rheol J 22(4):331–338

Clasen C, Eggers J, Fontelos MA, Li J, McKinley GH (2006a) The beads-on-string structure of viscoelastic threads. J Fluid Mech 556:283–308. https://doi.org/10.1017/S0022112006009633CrossRef

Clasen C, Phillips PM, Palangetic L, Vermant J (2011) Dispensing of rheologically complex fluids: the map of misery. AIChE J 61(3):857–866. https://doi.org/10.1002/aicCrossRef

Clasen C, Plog JP, Kulicke W-M, Owens M, Macosko C, Scriven LE, … McKinley GH (2006) How dilute are dilute solutions in extensional flows? J Rheol 50(6): 849–881. https://doi.org/10.1122/1.2357595

Cooper-White JJ, Fagan JE, Tirtaatmadja V, Lester DR, Boger DV (2002) Drop formation dynamics of constant low-viscosity, elastic fluids. J Nonnewton Fluid Mech 106(1):29–59. https://doi.org/10.1016/S0377-0257(02)00084-8CrossRef

Dinic J, Biagioli M, Sharma V (2017a) Pinch-off dynamics and extensional relaxation times of intrinsically semi-dilute polymer solutions characterized by dripping-onto-substrate rheometry. J Polym Sci B Polym Phys 55(22):1692–1704. https://doi.org/10.1002/polb.24388CrossRef

Dinic J, Jimenez LN, Sharma V (2017b) Pinch-off dynamics and dripping-onto-substrate (DoS) rheometry of complex fluids. Lab Chip 17(3):460–473. https://doi.org/10.1039/c6lc01155aCrossRef

Dirking T, Willenbacher N, Boggs L (2001) Elongational flow behavior of automotive coatings and its relation to atomization and mottling. Prog Org Coat 42(1–2):59–64. https://doi.org/10.1016/S0300-9440(01)00151-5CrossRef

Dontula P, Pasquali M, Scriven LE, Macosko CW (1997) Can extensional viscosity be measured with opposed-nozzle devices? Rheol Acta 36(4):429–448. https://doi.org/10.1007/BF00396329CrossRef

Dunlap PN, Leal LG (1987) Dilute polystyrene solutions in extensional flows: birefringence and flow modification. Journal of Non-Newtonian Fluid Mechanics 23(C):5–48. https://doi.org/10.1016/0377-0257(87)80009-5CrossRef

Eggers J (1993) Universal pinching of 3D axisymmetric free-surface flow. Phys Rev Lett 71(21):3458–3460. https://doi.org/10.1103/PhysRevLett.71.3458CrossRef

Eggers J (1997) Nonlinear dynamics and breakup of free-surface flows. Review of Modern Physics, 69, 865–929. Retrieved from papers2://publication/uuid/1329B18C-197E-4787–8771–930B99E1706E

Eggers J, Dupont TF (1994) Drop formation in a one-dimensional approximation of the Navier-Stokes equation. J Fluid Mech 262(1994):205–221. https://doi.org/10.1017/S0022112094000480CrossRef

Entov VM, Hinch EJ (1997) Effect of a spectrum of relaxation times on the capillary thinning of a filament of elastic liquid. J Nonnewton Fluid Mech 72(1):31–53. https://doi.org/10.1016/S0377-0257(97)00022-0CrossRef

Entov VM, Yarin AL (1984) Influence of elastic stresses on the capillary breakup of jets of dilute polymer solutions. Fluid Dyn 19(1):21–29. https://doi.org/10.1007/BF01090901CrossRef

Fong H, Chun I, Reneker DH (1999) Beaded nanofibers formed during electrospinning. Polymer 40(16):4585–4592. https://doi.org/10.1016/S0032-3861(99)00068-3CrossRef

Fontelos MA, Li J (2004) On the evolution and rupture of filaments in Giesekus and FENE models. J Nonnewton Fluid Mech 118(1):1–16. https://doi.org/10.1016/j.jnnfm.2004.02.002CrossRef

Fuller GG, Cathey CA, Hubbard B, Zebrowski BE (1987) Extensional viscosity measurements for low-viscosity fluids. J Rheol 31(3):235–249. https://doi.org/10.1122/1.549923CrossRef

García FJ, Castellanos A (1994) One-dimensional models for slender axisymmetric viscous liquid jets. Phys Fluids 6(8):2676–2689. https://doi.org/10.1063/1.868157CrossRef

Graessley WW (1980) Polymer chain dimensions and the dependence of viscoelastic properties on concentration, molecular weight and solvent power. Polymer 21(3):258–262. https://doi.org/10.1016/0032-3861(80)90266-9CrossRef

Hendricks J (2019) Supramolecular polymeric solutions in shear and extensional flows. Katholieke Universiteit Leuven, PhD Thesis

Hoath SD (ed) (2016) Fundamentals of inkjet printing: the science of inkjet and droplets. Wiley-VCH, Verlag, Weinheim, Germany. https://doi.org/10.1002/9783527684724

Klein CO, Naue IFC, Nijman J, Wilhelm M (2009) Addition of the force measurement capability to a commercially available extensional rheometer (Caber). Soft Mater 7(4):242–257. https://doi.org/10.1080/15394450903344603CrossRef

Kolte MI, Szabo P (1999) Capillary thinning of polymeric filaments. J Rheol 43(3):609–625. https://doi.org/10.1122/1.550995CrossRef

Lagnado RR, Leal LG (1990) Visualization of three-dimensional flow in a four-roll mill. Exp Fluids 9(1–2):25–32. https://doi.org/10.1007/BF00575332CrossRef

Lang C, Hendricks J, Zhang Z, Reddy NK, Rothstein JP, Lettinga MP, Vermant J, Clasen C (2019) Effects of particle stiffness on the extensional rheology of model rod-like nanoparticle suspensions. Soft Matter 15(5):833–841. https://doi.org/10.1039/c8sm01925h

Li J, Fontelos MA (2003) Drop dynamics on the beads-on-string structure for viscoelastic jets: a numerical study. Phys Fluids 15(4):922–937. https://doi.org/10.1063/1.1556291CrossRef

Mathues W, Formenti S, McIlroy C, Harlen OG, Clasen C (2018) CaBER vs ROJER—different time scales for the thinning of a weakly elastic jet. J Rheol 62(5):1135–1153. https://doi.org/10.1122/1.5021834CrossRef

McKinley GH (2005) Visco-elasto-capillary thinning and break-up of complex fluids. Rheology Reviews 3(05):1–48

McKinley GH, Tripathi A (2000) How to extract the Newtonian viscosity from capillary breakup measurements in a filament rheometer. J Rheol 44(3):653–670. https://doi.org/10.1122/1.551105CrossRef

Miller E, Clasen C, Rothstein JP (2009) The effect of step-stretch parameters on capillary breakup extensional rheology (CaBER) measurements. Rheol Acta 48:625–639. https://doi.org/10.1017/CBO9781107415324.004CrossRef

Ober TJ, Haward SJ, Pipe CJ, Soulages J, McKinley GH (2013) Microfluidic extensional rheometry using a hyperbolic contraction geometry. Rheol Acta 52(6):529–546. https://doi.org/10.1007/s00397-013-0701-yCrossRef

Papageorgiou DT (1995) On the breakup of viscous liquid threads. Phys Fluids 7(7):1529–1544. https://doi.org/10.1063/1.868540CrossRef

Rubinstein M, Colby RH (2003) Polymer physics. Oxford University Press, p 458

Sachsenheimer D, Hochstein B, Buggisch H, Willenbacher N (2012) Determination of axial forces during the capillary breakup of liquid filaments - the tilted CaBER method. Rheol Acta 51(10):909–923. https://doi.org/10.1007/s00397-012-0649-3CrossRef

Sachsenheimer D, Hochstein B, Willenbacher N (2014) Experimental study on the capillary thinning of entangled polymer solutions. Rheol Acta 53(9):725–739. https://doi.org/10.1007/s00397-014-0789-8CrossRef

Sankaran AK, Dros DA, Meerman HJ, Picken SJ, Kreutzer MT (2013) Increasing the stability of high contraction ratio flow of Boger fluids by pre-deformation. J Nonnewton Fluid Mech 196:27–35. https://doi.org/10.1016/j.jnnfm.2012.12.015CrossRef

Schümmer P, Tebel KH (1983) A new elongational rheometer for polymer solutions. J Nonnewton Fluid Mech 12(3):331–347. https://doi.org/10.1016/0377-0257(83)85006-XCrossRef

Sousa PC, Vega EJ, Sousa RG, Montanero JM, Alves MA (2017) Measurement of relaxation times in extensional flow of weakly viscoelastic polymer solutions. Rheol Acta 56(1):11–20. https://doi.org/10.1007/s00397-016-0980-1CrossRef

Szabo P (1997) Transient filament stretching rheometer: force balance analysis. Rheol Acta 284:277–284

Szabo P, McKinley GH, Clasen C (2012) Constant force extensional rheometry of polymer solutions. J Nonnewton Fluid Mech 169–170:26–41. https://doi.org/10.1016/j.jnnfm.2011.11.003CrossRef

Taylor GI (1934) The formation of emulsions in definable fields of flow. Proc R Soc Lond 146(858):501–523

Tirtaatmadja V, McKinley HG, Cooper-White JJ (2006) Drop formation and breakup of low viscosity elastic fluids: effects of molecular weight and concentration. Phys Fluids 18(4). https://doi.org/10.1063/1.2190469

Vadillo DC, Mathues W, Clasen C (2012) Microsecond relaxation processes in shear and extensional flows of weakly elastic polymer solutions. Rheol Acta 51(8):755–769. https://doi.org/10.1007/s00397-012-0640-zCrossRef

Verbeke K, Formenti S, Vangosa FB, Mitrias C, Reddy NK, Anderson PD, Clasen C (2020) Liquid bridge length scale based nondimensional groups for mapping transitions between regimes in capillary break-up experiments. Physical Review Fluids 5(5):1–8. https://doi.org/10.1103/PhysRevFluids.5.051901CrossRef

Verhulst K, Moldenaers P, Minale M (2007) Drop shape dynamics of a Newtonian drop in a non-Newtonian matrix during transient and steady shear flow. J Rheol 51(2):261–273. https://doi.org/10.1122/1.2426973CrossRef

Titel: Analysis of direct force measurements during capillary pinching of visco-elastic fluids in CaBER type experiments
verfasst von: Jasper Van Aeken
Luca Passaro
Christian Clasen
Publikationsdatum: 05.01.2022
Verlag: Springer Berlin Heidelberg
Erschienen in: Rheologica Acta / Ausgabe 3/2022
Print ISSN: 0035-4511
Elektronische ISSN: 1435-1528
DOI: https://doi.org/10.1007/s00397-021-01322-z

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