Dynamics of weakly strain-hardening fluids in filament stretching devices

Yao, Minwu; Spiegelberg, Stephen H.; McKinley, Gareth H.

doi:10.1016/s0377-0257(99)00028-2

Cited by 65 publications

(78 citation statements)

References 37 publications

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“…This may be due in part to the range of Hencky-strains under consideration (up to unity) and the relatively high level of Weissenberg number (5.08) involved. These observations are in keeping with those reported in Yao et al [29]. Hence, for present purposes, we choose to neglect surface tension effects.…”

Section: Resultssupporting

confidence: 74%

“…In Fig. 3a, the resulting trend illustrated via the fv-Lax-scheme agrees well with that reported by Yao et al [28]. With the LDB-scheme, the value of extra-stress at node n 1 vanishes.…”

Section: Fluctuation Distribution (Lax or Ldb)supporting

confidence: 88%

“…We observe in Table 1, that Ca -1 values are small, being 0.02 and 0.007 for low-polymeric and high-polymeric viscosity cases, respectively This leads to only minor influence of the surface tension on resultant kinematics, particularly at larger levels of Weissenberg number (see Yao et al [29]). …”

Section: Problem Specificationmentioning

confidence: 76%

“…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%

“…At a Hencky-strain of 2 . 0 = ε , the magnitude of stress is a constant near the centreline and drops dramatically near the freesurface node due to the formation of a boundary layer [28]. We may compare two cellvertex fluctuation distribution schemes of interest, LDB (linear and linearity preserving, second-order for steady problems) and fv-Lax (linear, central-scheme with dissipation term, second order).…”

Section: Fluctuation Distribution (Lax or Ldb)mentioning

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: Resultssupporting

confidence: 74%

“…In Fig. 3a, the resulting trend illustrated via the fv-Lax-scheme agrees well with that reported by Yao et al [28]. With the LDB-scheme, the value of extra-stress at node n 1 vanishes.…”

Section: Fluctuation Distribution (Lax or Ldb)supporting

confidence: 88%

Section: Problem Specificationmentioning

confidence: 76%

Section: Problem Specificationmentioning

confidence: 99%

Section: Fluctuation Distribution (Lax or Ldb)mentioning

confidence: 99%

See 3 more Smart Citations

Sub-cell approximations for viscoelastic flows—filament stretching

Webster

Matallah

Sujatha

2005

Journal of Non-Newtonian Fluid Mechanics

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Electrical, Magnetic and Mechanical Fields, and Bent‐Core Liquid Crystals

Zhang

Diorio

Jákli

2014

Handbook of Liquid Crystals

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Prediction of foamability of polyethylene terephthalate using viscous and elastic parameters

et al. 2017

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Rheological behavior and foamability of polyethylene terephthalate (PET) with different molecular structures were investigated. The aim of this study was to find out the viscous and elastic parameters which can predict the foaming properties of PET.It is found that the foams of strain hardening PET have high expansion ratios and fine cell morphologies. This is correlated with the contribution of strain hardening to the improvement of melt strength and failure strain during elongational experiments.Basing on the fact that foamability of a material is governed by its strain hardening (a pure elastic behavior), a viscous parameter (complex viscosity), and an elastic parameter (loss tangent) obtained from dynamic shear rheology are well linked to the expansion ratios of foams. These two parameters formed an optimized viscoelastic window, which is suitable for foaming. This means the foamability of PET can be determined by viscous and elastic parameters without consideration of molecular constitution. K E Y W O R D Sfoams, polyesters, rheology, viscoelastic properties

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Dynamics of weakly strain-hardening fluids in filament stretching devices

Cited by 65 publications

References 37 publications

Sub-cell approximations for viscoelastic flows—filament stretching

Sub-cell approximations for viscoelastic flows—filament stretching

Electrical, Magnetic and Mechanical Fields, and Bent‐Core Liquid Crystals

Prediction of foamability of polyethylene terephthalate using viscous and elastic parameters

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