Extrudate swell in some dilute elastic solutions

Butler, C. W.; Bush, Mark B.

doi:10.1007/bf01329338

“…Many problems described via systems of partial differential equations, display singular solutions near corners or crack tips. The region between stick and slip Beyond the consideration of numerical solutions, some experimental results are presented in Butler and Bush [20] and Ahmed et al [21]. Butler and Bush provided experimental evidence for dilute viscoelastic fluids (polyisobutylene -polybutene) in axisymmetric isothermal flows.…”

Section: Introductionmentioning

confidence: 99%

Computation of free surface flows with a Taylor-Galerkin/pressure-correction algorithm

Ngamaramvaranggul

¹

,

Webster

²

2000

Int. J. Numer. Meth. Fluids

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A semi-implicit Taylor Galerkin/pressure-correction finite element scheme (STGFEM) is developed for problems that manifest free surfaces associated with the incompressible creeping flow of Newtonian fluids. Such problems include stick-slip and die-swell flows, both with and without a superimposed drag flow, and for plane, axisymmetric and annular systems. The numerical solutions are compared with available analytical and numerical solutions, both in the neighbourhood of singularities and elsewhere. Close correspondence in accuracy is extracted to the literature for both stick-slip and die-swell flows. Stick-slip flow is used as a precursor study to the more complex free surface calculations involved for die-swell in extrudate flow. Two different free surface techniques are reported and results are analysed with mesh refinement and varying structure.

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“…Beyond the consideration of numerical solutions, some experimental results are presented in Butler and Bush 20 and Ahmed et al 21 Butler and Bush provided experimental evidence for dilute viscoelastic fluids (polyisobutylene-polybutene) in axisymmetric isothermal flows. Ahmed et al found correspondence between experimental observations and the numerical solutions derived from a FEM, in planar entry flows and die-swell flows for molten polyethylenes.…”

mentioning

confidence: 99%

Computation of free surface flows with a Taylor–Galerkin/pressure–correction algorithm

Ngamaramvaranggul¹,

Webster²

2000

Int. J. Numer. Meth. Fluids

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A semi-implicit Taylor Galerkin/pressure-correction finite element scheme (STGFEM) is developed for problems that manifest free surfaces associated with the incompressible creeping flow of Newtonian fluids. Such problems include stick-slip and die-swell flows, both with and without a superimposed drag flow, and for plane, axisymmetric and annular systems. The numerical solutions are compared with available analytical and numerical solutions, both in the neighbourhood of singularities and elsewhere. Close correspondence in accuracy is extracted to the literature for both stick-slip and die-swell flows. Stick-slip flow is used as a precursor study to the more complex free surface calculations involved for die-swell in extrudate flow. Two different free surface techniques are reported and results are analysed with mesh refinement and varying structure.

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“…The solution is recomputed by gradual increase of Weisenberg number (We) to the highest limit. In addition, the pressure-driven velocity flow method is taken to solve the intensive We before the final prediction of swelling ratio is compared with other literatures [21][22][23][24][25][26].…”

Section: Introductionmentioning

confidence: 99%

Simulation of Die-swell Flow for Oldroyd-B Model with Feedback Semi-implicit Taylor Galerkin Finite Element Method

Thongjub

¹

,

Ngamaramvaranggul

²

2015

KMUTNB: IJAST

1

0

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This work is focused on creeping die-swell flow for Oldroyd-B fluid in two-dimensional axisymmetric system. The governing equations are solved via a combination of semi-implicit Taylor-Galerkin/pressure-correction finite element method and feedback condition. Some extra techniques for local velocity gradient recovery scheme and streamline-upwind/Petrov-Galerkin method are employed to improve the stability of solutions. For each time step after velocity field is computed, the specific region of die swell jet is adjusted while finite triangle elements in this area are re-meshed. Finally, the benchmark of swelling ratio with other literatures and analytical theory is presented in positive direction.

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Extrudate swell in some dilute elastic solutions

Cited by 11 publications

References 21 publications

Computation of free surface flows with a Taylor-Galerkin/pressure-correction algorithm

Computation of free surface flows with a Taylor-Galerkin/pressure-correction algorithm

Computation of free surface flows with a Taylor–Galerkin/pressure–correction algorithm

Simulation of Die-swell Flow for Oldroyd-B Model with Feedback Semi-implicit Taylor Galerkin Finite Element Method

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