Numerical simulation of extensional deformations of viscoelastic liquid bridges in filament stretching devices

Yao, Minwu; McKinley, Gareth H.

doi:10.1016/s0377-0257(97)00052-9

Cited by 112 publications

(135 citation statements)

References 23 publications

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“…We have chosen to report on two filament aspect-ratios, 3 / 2 0 = Λ and 1/3, following reference [25]. Two types of fluids are employed, one with a high polymeric to solvent viscosity ratio (373.9); and a second, with a relatively low ratio (0.0926).…”

Section: Problem Specificationmentioning

confidence: 99%

“…Two types of fluids are employed, one with a high polymeric to solvent viscosity ratio (373.9); and a second, with a relatively low ratio (0.0926). The set of operating parameters are described in Table 1, taking representative data from [26,29] for polyisobutylene-based fluids. As above, in this study we employ the Oldroyd-B model throughout.…”

Section: Problem Specificationmentioning

confidence: 99%

“…The primary goal of these studies has been to determine the nature of deformation in the central portion of the filament. Finite element simulations for viscous and viscoelastic fluids within filament-stretching flows has been performed and recorded extensively in the literature [8,15,16,25]. A detailed literature review on this problem is presented in our precursor work [5].…”

Section: Introductionmentioning

confidence: 99%

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Sub-cell approximations for viscoelastic flows—filament stretching

Webster

Matallah

Sujatha

2005

Journal of Non-Newtonian Fluid Mechanics

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The accuracy, stability and consistency of new stress interpolation schemes is investigated, based upon sub-cell approximations. This includes the contrast of two alternative hybrid spatial discretisations: a cell-vertex finite element/volume (fe/fv) scheme and a finite element equivalent (fe). Here, the interest is to explore the consequences of utilizing conventional methodology and to demonstrate resulting drawbacks in the presence of complex stress equation source terms. Alternative strategies worthy of consideration are presented for a constant shear viscosity model, that of Oldroyd-B, with strain-hardening and unbounded extensional properties. We demonstrate how high-order accuracy may be achieved by respecting consistency in our algorithmic constructions.Both fe-and fv-spatial discretisations are embedded within this methodology. Linear interpolation for stress, of either fe-or fv-form on triangular sub-cells, is referenced within parent triangular finite elements in two dimensions. Finite element discretization is employed for the momentum and continuity system, via a second-order pressurecorrection scheme. In this regard, a complex filament-stretching flow with a free-surface is selected to compute the transient evolution of kinematic and stress fields. Shortcomings of various up-winding schemes are discussed, whilst dealing with such free-surface type problems and appropriate strategies for dealing with these types of problems are outlined.

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Section: Problem Specificationmentioning

confidence: 99%

Section: Problem Specificationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Sub-cell approximations for viscoelastic flows—filament stretching

Webster

Matallah

Sujatha

2005

Journal of Non-Newtonian Fluid Mechanics

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“…The term < rτ zr > also vanishes in regions of strong elongational flow. It becomes, however, the dominant stress term close to the end-plates because of the no-slip boundary condition (see discussion in [48] and [50]). In the following, therefore, we shall assume that the terms < τ rr − τ θθ > and < rτ zr > can be neglected in the majority of the elongating fluid filament.…”

Section: Momentum Balancementioning

confidence: 99%

“…Differentiating equation (50) repeatedly with respect to non-dimensional time τ we may derive useful expressions for the velocity and the acceleration of the falling cylinder. We obtain the following expression for the first and second time derivatives, i.e.…”

Section: The Viscous Newtonian Fluid Bungee Jumpermentioning

confidence: 99%

Constant force extensional rheometry of polymer solutions

Szabó

McKinley

Clasen

2012

Journal of Non-Newtonian Fluid Mechanics

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We revisit the rapid stretching of a liquid filament under the action of a constant imposed tensile force, a problem which was first considered by Matta & Tytus [JN-NFM vol. 35, pp 215-229, 1990]. A liquid bridge formed from a viscous Newtonian fluid or from a dilute polymer solution is first established between two cylindrical disks. The upper disk is held fixed and may be connected to a force transducer while the lower cylinder falls due to gravity. By varying the mass of the falling cylinder and measuring its resulting acceleration, the viscoelastic nature of the elongating fluid filament can be probed. In particular, we show that with this constant force pull (CFP) technique it is possible to readily impose very large material strains and strain rates so that the maximum extensibility of the polymer molecules may be quantified. This unique characteristic of the experiment is analyzed numerically using the FENE-P model and two alternative kinematic descriptions; employing either an axially-uniform filament approximation or a quasi two-dimensional Lagrangian description of the elongating thread. In addition, a second order pertubation theory for the trajectory of the falling mass is developed for simple viscous filaments. Based on these theoretical considerations we develop an expression that enables estimation of the finite extensibility parameter characterizing the polymer solution in terms of quantities that can be extracted directly from simple measurement of the time-dependent filament diameter.

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Visualization and simulation of the transfer process of index‐matched silica microparticle inks for gravure printing

Boelens

Pablo

Lim³

et al. 2016

AIChE Journal

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A combined experimental and computational study of the transfer of transparent index‐matched silica‐particle inks between two flat plates is presented for gravure printing applications. The influence of printing speed and initial ink droplet size on the ability to accurately transfer ink during the printing process is explored systematically. Smooth interface volume of fluid simulations show the same trends as the ink transfer observed in experiments over a wide range of printing speeds and for inks having different silica particle loadings. Our calculations indicate that for ink droplets with characteristic dimensions in the vicinity of 10 μm, which are of particular interest for gravure printing applications, ink transfer improves significantly due to the diminishing effect of gravity, and the increased importance of capillary forces at small length scales. © 2016 American Institute of Chemical Engineers AIChE J, 63: 1419–1429, 2017

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Numerical simulation of extensional deformations of viscoelastic liquid bridges in filament stretching devices

Cited by 112 publications

References 23 publications

Sub-cell approximations for viscoelastic flows—filament stretching

Sub-cell approximations for viscoelastic flows—filament stretching

Constant force extensional rheometry of polymer solutions

Visualization and simulation of the transfer process of index‐matched silica microparticle inks for gravure printing

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