Mechanical aspects of fibre spinning process in molten polymers

Ziabicki, Andrzej; Kedzierska, Krystyna

doi:10.1007/bf01520325

Cited by 69 publications

(13 citation statements)

References 7 publications

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“…One can then define the ratio of these as the apparent (transient) elongational viscosity, qapp (see for example: Nitschmann and Schrade 1948, Ziabicki and Kedzierska 1960a, 1960b, Ziabicki 1961, Fehn 1968, Ghibashi et al 1970, Acierno et al 1971, Han and Lamonte 1972, Spearot and Metzner 1972, Acierno et al 1974. It is worth noting that the shear viscosity of the fluids involved is still relatively high (> 50 N s m-2) and the loads required to produce elongation correspondingly large.…”

mentioning

confidence: 99%

The Fluctuon States of Electrons in Disordered Systems

Krivoglaz¹

1972

Sov. Phys. Usp.

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The measurement of the elongational viscosity of polymer solutions and melts has become of major importance in contemporary rheology. This paper describes a new viscometer which is capable of measuring the extremely small loads required to elongate filaments of polymer solutions of low concentration. The data obtained from this instrument are used to evaluate the apparent elongational viscosities of several solutions, and the results are correlated in terms of the strains imposed.

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confidence: 99%

The Fluctuon States of Electrons in Disordered Systems

Krivoglaz¹

1972

Sov. Phys. Usp.

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“…The thin filament equations that correctly govern the extension of fluids and solids taking the form of fine filaments as formulated previously by Kase and coworkers [2,6,21,22] among works by others [4,5] consist of continuity, momentum, energy, and constitutive equations. The first two of the above four equations are as follows [6].…”

Section: Thin Filament Equationsmentioning

confidence: 99%

Neck propagation as a shock wave

Kase

Chang

1990

Rheol Acta

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Abstract." Neck propagation in the stretching of elastic solid filaments having a yield point was analyzed using the space one-dimensional thin filament governing equations developed previously by the authors and other researchers. Constitutive model for the filament was assumed to be expressible as engineering tensile stress r/(X) (tensile force) given as a function of elongational strain with the ~/(X) curve having a yield point maxima followed by a minima and a breaking point greater than the yield point maxima. Also incorporated into the model is the hysteresis of irreversible plastic deformation. When inertia is taken into consideration, the thin filament equations were found to reduce to the nonlinear wave equation 02/~(X)/02 2= CI02X/O'~ 2 where ~ is Lagrangean space coordinate, r is time, and C 1 is inertia coefficient. The above nonlinear wave equation yields a solution X(2, z) having a stepwise discontinuity in X which propagates along the 2 axis. The zero speed limit of the step wave solution was found to describe the above neck propagation occurring in solid filaments. Furthermore, it was recognized that the nonlinear wave equation was known for many years to also govern the plastic shock wave which propagates axially within a metal rod subjected to a very strong impact on its end. The one-dimensional atmospheric shock wave also was known to be governed by the nonlinear wave equation upon making certain simplifying assumptions. The above and other evidences lead to the conclusion that neck propagation occurring in the extension of solid filament obeying the above r/(X) function can be formally described as a shock wave.

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“…Early interest in this flow geometry was connected with fiber-spinning mechanisms [161]. The first orientation measurements in elongational flow were reported by Zabicki and Kedzierska in the late 1950s, for different polymer melts leaving a circular spinneret [162][163][164]. From birefringence data, these authors determined that orientation was insignificant below a strain-rate of 0.5 S-l but increased rapidly with the gradient until saturation at about 10 S-l.…”

Section: Affine Deformation Modelmentioning

confidence: 99%

Flexible Polymer Chains in Elongational Flow

Nguyen¹,

Kausch²

1999

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Mechanical aspects of fibre spinning process in molten polymers

Cited by 69 publications

References 7 publications

The Fluctuon States of Electrons in Disordered Systems

The Fluctuon States of Electrons in Disordered Systems

Neck propagation as a shock wave

Flexible Polymer Chains in Elongational Flow

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