Die swell in elastic and viscous fluids

Batchelor, J.; Berry, J.P; Horsfall, F.

doi:10.1016/0032-3861(73)90121-3

Cited by 41 publications

(30 citation statements)

References 5 publications

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“…To explain this discrepancy, Donnelly and Weinberger 5 proposed the effect of die swell. The magnitude of die swell, which has been numerically predicted by Nickell et al 11 and measured by Batchelor et al, 12 corresponds to a diameter increase of 13% to 13.5%. This translates into a speed at the point of maximum die swell approximately 29% below the average speed at the die exit.…”

Section: Introductionmentioning

confidence: 73%

“…Thus, two sets of values between 17.2 and 22.2 bracket the prediction of 20.21. Furthermore, when Batchelor et al 12 examined the die swell effect experimentally, gravitational effect was avoided by extruding a Newtonian fluid into a bath of liquid with matching density. The numerical prediction of Nickell et al 11 also neglected the effect of gravity.…”

Section: Introductionmentioning

confidence: 99%

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Influence of inertia and gravity on the stability of filament jet flow

2006

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The interplay between inertia and gravity is examined for a filament jet flow. The velocity is imposed at the tube exit and jet tip downstream. Both linear and nonlinear stability analyses are carried out. The loss of stability coincides with the onset of a Hopf bifurcation. While both inertia and gravity enhance the stability of steady flow, inertia plays a more dominant role regarding critical parameters. In contrast, the disturbance frequency is more sensitive to the effect of gravity. Above criticality, finite-amplitude disturbances are amplified, and sustained oscillation is achieved. It is found that the growth rate increases with velocity ratio, but decreases with inertia and gravity, which suggests that initial transients tend to take longer to die out for a fluid with stronger inertia and gravity. Transient postcritical calculations show that the nonlinearity can be effectively halted by inertia and gravity. The oscillation frequency ͑jet radius͒ decreases ͑increases͒ with velocity ratio. However, the jet oscillates more frequently but less fiercely with stronger inertia and gravity effects. The rupture of the jet is also examined, and is found to be delayed by inertia and gravity. Although the oscillation amplitude is found to be weakest at the jet tip, it is at this location that the jet tends to rupture first. Finally, comparison is carried out between theory and experiment, leading to good agreement.

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Section: Introductionmentioning

confidence: 73%

Section: Introductionmentioning

confidence: 99%

Influence of inertia and gravity on the stability of filament jet flow

2006

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“…They concluded that higher dope ow rates inside the spinneret resulted in hollow ber membranes with smaller pore sizes and denser skin layers due to the enhanced molecular orientation. Batchelor et al [6] studied die swell experimentally on elastic liquid and Newtonian liquid of similar viscosity. The Reynolds number was about 10 8 .…”

Section: Introductionmentioning

confidence: 99%

Study on the Viscoelastic Fluid Behavior in Hollow Fiber Membrane Fabrication Process Using Giesekus’ Model

2017

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Abstract. In the present study, attempts are made to study the behavior of a viscoelastic uid in the hollow ber membrane production process. For this purpose, the uid is considered to obey the Giesekus' model and ow is taken as steady, two-dimensional and isothermal one. The ow eld is obtained using DEVSS/SUPG scheme combined with a free surface tracking method. The obtained results are compared to the case of Newtonian uid. It is shown that the extrudate swell is 20% more in the case of viscoelastic uid. Moreover, the elastic behavior of the viscoelastic uid signi cantly a ects the velocity eld in the extrudate outside the die. It causes the uid ow to become reversed in the middle part of the extrudate as the direct result of the stress relaxation process, whereas such a behavior is not seen for Newtonian uid. Also, the First Normal Stress Di erence (FNSD) distribution in the extrudate is obtained and its variation is discussed. Furthermore, the e ects of operational parameters, including die back pressure and take-up velocity, are investigated. Finally, the predicted extrudate swell for various operation conditions is compared to experimental results showing good agreement between experimental and simulated data.

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“…12 Concerning Newtonian fluids, the value of the contraction/expansion ratio was found by most of the researchers to be approximately 1.12-1.13 for creeping flow, 13 which is in good agreement with experimental results. 7,14,15 Generally, studies on thin-film flow involve either gravity-or surface-tension-driven flow. 16,17 The flow of a falling film on an inclined or vertical wall is particularly emphasized in the literature.…”

Section: Introductionmentioning

confidence: 99%

Steady and transient thin-jet flow

German

Khayat

2005

Physics of Fluids

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The interplay between inertia and gravity is examined in this theoretical study for the steady and transient two-dimensional thin jet flow free of surface tension. The fluid emerges from a channel and is driven by both a pressure gradient maintained inside the channel and/or gravity. The flow is dictated by the thin-film equations of the boundary layer type, which are solved by expanding the flow field in terms of orthonormal modes depthwise, and using the Galerkin projection. The strength of inertia relative to gravity is found to be of crucial significance on the film flow. Transient behavior of the film is closely examined for various flow parameters, initial and exit conditions. It is shown that under a wide range of flow parameters, the steady state cannot be achieved.

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Die swell in elastic and viscous fluids

Cited by 41 publications

References 5 publications

Influence of inertia and gravity on the stability of filament jet flow

Influence of inertia and gravity on the stability of filament jet flow

Study on the Viscoelastic Fluid Behavior in Hollow Fiber Membrane Fabrication Process Using Giesekus’ Model

Steady and transient thin-jet flow

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