Radial temperature differences during the melt spinning of fibers

Hutchenson, Keith W.; Edie, D.D.; Riggs, Dennis M

doi:10.1002/app.1984.070291135

Cited by 13 publications

(9 citation statements)

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“…The Crank-Nicolson method [14] is used to solve equation (20). A Q × M 2-D finite difference grid is created along the fiber axis crossing the fiber center, covering the domain of 0 ≤ ξ ≤ 1 and 0 ≤ ζ ≤ 1, as shown in Figure 3.…”

Section: Methodsmentioning

confidence: 99%

“…Assuming (a) constant physical properties of density, specific heat capacity, and thermal conductivity of melt, (b) negligible radial crystallinity and orientation distributions, the 2-D governing equation of energy reads [14] (20)…”

Section: -D Governing Equationsmentioning

confidence: 99%

“…Andrews [12] firstly deduced a 2-D energy balance equation and predicted the radial temperature distribution, which shows that the radial temperature gradient reaches to 4000 o C/cm. Matsuo et al [13] and Hutchenson et al [14] also calculated and found the radial temperature gradient is huge and affects the properties of fibers. Henson et al [15] Unfortunately, rare attention is being paid for on the 2-D distributions of parameters of sea-island bi-component fiber spinning process.…”

Section: Introductionmentioning

confidence: 96%

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Studies on melt spinning of sea-island fibers. II. Dynamics of melt spinning of polypropylene/polystyrene blend fibers

Chen

Zhang

et al. 2015

Fibers Polym

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A two-dimensional (2-D) model for melt spinning of iPP/aPS blend fibers is proposed based on two-phase models on density and crystallinity and log-additive rule on elongational viscosity. A computer program is developed based on a hybrid method of fourth-order Runge-Kutta method and implicit Crank-Nicolson method to solve the model equations to obtain the axial profiles of fiber diameter, velocity, gradient of velocity and crystallinity, and the 2-D profiles of temperature, elongational viscosity and elongational stress. The simulated fiber diameters are compared with the measured diameters to verify the certainness of the simulation. The simulated results show that polymer melt jets solidify at the positions of about 40 cm beneath the spinneret which is verified by on-line measurement of fiber diameter. And the radial gradient of temperature, elongational viscosity and elongational stress reaches to 10 4 to 10 5 o C/m, 10 5 to 10 6 Pa·s/m and 10 5 to 10 6 Pa/m, respectively, at the discussed take-up velocities.

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Section: Methodsmentioning

confidence: 99%

Section: -D Governing Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 96%

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Studies on melt spinning of sea-island fibers. II. Dynamics of melt spinning of polypropylene/polystyrene blend fibers

Chen

Zhang

et al. 2015

Fibers Polym

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“…The simulation parameters are the material and rheological properties of the polymer, the screw, hopper and die geometry, and the operating conditions (screw speed and barrel temperature profile). Hutchenson et al [4] developed a numerical model to predict the temperature distribution in a fiber during melt spinning. The results of the various runs showed that ambient air temperature and mass flow rate had a significant effect on the predicted radius profile, spinline tension, and temperature distribution.…”

Section: Introductionmentioning

confidence: 99%

Recognition of fault process parameters for diameter uniformity variation in melt spinning

Kuo

Huang

et al. 2014

Fibers Polym

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This study focused on the abnormal condition of diameter variation in melt spinning, and attempted to recognize the machine processing parameter that deviates from the set value. The experiment used polypropylene as the experimental material. The machine processing parameters included nine factors, including temperatures in three extruder barrel sections, temperature of metering pump, die temperature, spinneret temperature, speed of an extruder screw, speed of metering pump and speed of take-up roll. The biaxial laser sensor measured the yarn diameter instantly, and the optimum parameter combination for minimum diameter variation was obtained by Taguchi method and analysis of variance (ANOVA). The degree of influence of various processing parameters on the diameter variation was determined. The optimum parameter combination was used as parameter setting value, and the processing parameters of various factors were changed for experiment, so as to obtain the signals of abnormal condition. Two methods were used for feature extraction. The minimum entropy of wavelet transform signal was used as eigenvector, and two features were selected by analyzing the statistical process control chart, which are skewness and kurtosis. The abnormal processing parameters and normal condition were recognized effectively and accurately by using the three eigenvalues and back-propagation neural network. With enough training samples, the recognition success rate was as high as 100 %. For complete abnormity diagnosis of melt spinning machine, a two-factor classification process was established by using the single-factor classification result and backpropagation neural network. The experimental results proved that the proposed method can recognize various abnormal conditions successfully and effectively.

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“…Assuming predetermined values at the boundary and using a finite difference method, Edie and coworkers [11,12] analyzed the radial distribution of internal stress and temperature. Simple mathematical model utilizing 1dimensional formulation has been recently developed to investigate this process with heat conduction and radiation effects [13].…”

Section: Introductionmentioning

confidence: 99%

Experimental and Theoretical Study of Rectangular Fiber Melt Spinning

Noh

Kim

Kwon

1997

International Polymer Processing

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In order to study the process of rectangular fiber melt spinning, experimental and theoretical investigations are conducted. Several different values of such process variables as die dimension, flow rate, take-up speed, quench air speed and temperature, and die temperature are chosen for manufacturing poly(ethylene terephthalate) fibers. Both 1-and 2-dimensional formulations are employed under the Newtonian fluid assumption. Two separate mathematical schemes are then combined via the Picard iteration to provide a convenient tool estimating the process with all variables taken into account and with as little computational effort as possible. From this experiment, it is found that the extrudate exhibits negative swelling in the fiber width direction, which results from the negative second normal stress direction in shear flow inside the die. Fiber cross-section takes elliptical shape at the point of maximum thickness swell and then gets flat as it approaches the take-up point. As to numerical simulation, all the quantities such as fiber dimension, velocity, temperature and tension except variables related to cross-sectional area are relatively well described by this simple theory. Neglect of material elasticity and over-simplification of temperature variation along fiber cross-section are main causes for the deviation of calculated values from experimental data.

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Radial temperature differences during the melt spinning of fibers

Cited by 13 publications

References 0 publications

Studies on melt spinning of sea-island fibers. II. Dynamics of melt spinning of polypropylene/polystyrene blend fibers

Studies on melt spinning of sea-island fibers. II. Dynamics of melt spinning of polypropylene/polystyrene blend fibers

Recognition of fault process parameters for diameter uniformity variation in melt spinning

Experimental and Theoretical Study of Rectangular Fiber Melt Spinning

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