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1

Li, Youbing, and Kaizhi Shen. "Improving Melt Flow Behavior via Melt Vibration." Journal of Macromolecular Science, Part B 46, no. 4 (June 2007): 785–92. http://dx.doi.org/10.1080/00222340701389134.

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2

Shenoy, A. V., and D. R. Saini. "Copolymer melt rheograms from melt flow index." British Polymer Journal 17, no. 3 (September 1985): 314–20. http://dx.doi.org/10.1002/pi.4980170311.

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3

Sowjanya, M., and T. Kishen Kumar Reddy. "Flow Dynamics in the Melt Puddle during Planar Flow Melt Spinning Process." Materials Today: Proceedings 4, no. 2 (2017): 3728–35. http://dx.doi.org/10.1016/j.matpr.2017.02.268.

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4

KOYAMA, Kiyohito, and Osamu ISHIZUKA. "Elongational Flow of Polymer Melt." Nihon Reoroji Gakkaishi(Journal of the Society of Rheology, Japan) 13, no. 3 (1985): 93–100. http://dx.doi.org/10.1678/rheology1973.13.3_93.

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5

Kim, Hwan Chul, Ajit Pendse, and John R. Collier. "Polymer melt lubricated elongational flow." Journal of Rheology 38, no. 4 (July 1994): 831–45. http://dx.doi.org/10.1122/1.550595.

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6

Molenaar, J., and R. J. Koopmans. "Modeling polymer melt‐flow instabilities." Journal of Rheology 38, no. 1 (January 1994): 99–109. http://dx.doi.org/10.1122/1.550603.

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7

Ku, Te-Hsing, and Chin-An Lin. "Shear Flow Properties and Melt Spinning of Thermoplastic Polyvinyl Alcohol Melts." Textile Research Journal 75, no. 9 (September 2005): 681–88. http://dx.doi.org/10.1177/0040517505059207.

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8

Komuro, Ryohei, Koji Kobayashi, Takashi Taniguchi, Masataka Sugimoto, and Kiyohito Koyama. "Wall slip and melt-fracture of polystyrene melts in capillary flow." Polymer 51, no. 10 (May 2010): 2221–28. http://dx.doi.org/10.1016/j.polymer.2010.03.014.

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9

Liang, Ji-Zhao, and Liu He. "Melt Flow Properties and Melt Density of POM/EVA/HDPE Nanocomposites." Polymer-Plastics Technology and Engineering 50, no. 13 (September 2011): 1338–43. http://dx.doi.org/10.1080/03602559.2011.584235.

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10

Shenoy, A. V., and D. R. Saini. "Estimation of melt elasticity of degraded polymer from melt flow index." Polymer Degradation and Stability 11, no. 4 (January 1985): 297–307. http://dx.doi.org/10.1016/0141-3910(85)90034-5.

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11

Dospíšil, D., J. Kubát, P. Sáha, J. Trlica, and J. Becker. "Melt Flow Instabilities of Filled HDPE." International Polymer Processing 13, no. 1 (March 1998): 91–98. http://dx.doi.org/10.3139/217.980091.

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12

Smith, Alan. "Melt flow testing finds greater usefulness." Plastics, Additives and Compounding 3, no. 5 (May 2001): 28–31. http://dx.doi.org/10.1016/s1464-391x(01)80164-1.

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13

Chen, Yang, Wei Luo, Yi Li, Huawei Zou, Mei Liang, and Ya Cao. "Melt flow instabilities in polyethylene resins." Polymer Science Series A 56, no. 5 (September 2014): 662–70. http://dx.doi.org/10.1134/s0965545x1405006x.

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14

Brown, M., F. J. Korhonen, and C. S. Siddoway. "Organizing Melt Flow through the Crust." Elements 7, no. 4 (July 25, 2011): 261–66. http://dx.doi.org/10.2113/gselements.7.4.261.

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15

Perez, M. A., and J. R. Collier. "Melt transformation coextrusion. II: Flow analysis." Polymer Engineering and Science 29, no. 15 (August 1989): 1010–17. http://dx.doi.org/10.1002/pen.760291507.

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16

Huang, Qian, and H. K. Rasmussen. "Extensional flow dynamics of polystyrene melt." Journal of Rheology 63, no. 5 (September 2019): 829–35. http://dx.doi.org/10.1122/1.5110027.

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17

Vinogradov, George. "Polymer Melt Rheology and Flow Birefringence." Journal of Non-Newtonian Fluid Mechanics 17, no. 1 (January 1985): 117–21. http://dx.doi.org/10.1016/0377-0257(85)80009-4.

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18

Kolnaar, J. W. H., and A. Keller. "A singularity in the melt flow of polyethylene with wider implications for polymer melt flow rheology." Journal of Non-Newtonian Fluid Mechanics 67 (November 1996): 213–40. http://dx.doi.org/10.1016/s0377-0257(96)01471-1.

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19

Kolnaar, J. W. H., and A. Keller. "A singularity in the melt flow of polyethylene with wider implications for polymer melt flow rheology." Journal of Non-Newtonian Fluid Mechanics 69, no. 1 (March 1997): 71–98. http://dx.doi.org/10.1016/s0377-0257(97)00017-7.

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20

Deng, Rongjian, Yong Liu, Yumei Ding, Pengcheng Xie, Lu Luo, and Weimin Yang. "Melt electrospinning of low-density polyethylene having a low-melt flow index." Journal of Applied Polymer Science 114, no. 1 (October 5, 2009): 166–75. http://dx.doi.org/10.1002/app.29864.

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21

Marschik, Christian, Wolfgang Roland, and Tim A. Osswald. "Melt Conveying in Single-Screw Extruders: Modeling and Simulation." Polymers 14, no. 5 (February 23, 2022): 875. http://dx.doi.org/10.3390/polym14050875.

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Numerous analyses have modeled the flow of polymer melts in the melt-conveying zones of single-screw extruders. While initial studies mainly provided exact analytical results for combined drag and pressure flows of Newtonian fluids, more recently developed, numerical methods seek to deepen the understanding of more realistic flow situations that include shear-thinning and non-isothermal effects. With the advent of more powerful computers, considerable progress has been made in the modeling and simulation of polymer melt flows in single-screw extruders. This work reviews the historical developments from a methodological point of view, including (1) exact analytical, (2) numerical, and (3) approximate methods. Special attention is paid to the mathematical models used in each case, including both governing flow equations and boundary conditions. In addition, the literature on leakage flow and curved-channel systems is revisited.
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22

Liu, Qingsheng, Jie Ouyang, Zhijun Liu, and Wuming Li. "Visualization and simulation of filling process of simultaneous co-injection molding based on level set method." Journal of Polymer Engineering 35, no. 9 (November 1, 2015): 813–27. http://dx.doi.org/10.1515/polyeng-2014-0339.

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Abstract Co-injection molding (CIM) is an advanced technology which was developed to meet quality requirements and to reduce the material cost. Theoretical investigations concerning it are very limited, especially for simultaneous CIM. The interactions of air, skin and core polymer melt in the process are very complex, which makes it more challenging to simulate free surface flows in the mold. Thus, this article presents a mathematical model for it. The extended Pom-Pom (XPP) model is selected to predict the viscoelastic behavior of polymer melt. The free surface is captured by the level set method. The article vividly shows the simultaneous CIM process by means of a visual numerical simulation technique. Both two-dimensional (2D) and 3D examples are presented to validate the model and illustrate its capabilities. The 3D flow behaviors of simultaneous CIM process are hard to predict numerically. To our knowledge, this is the first attempt at simulating melt flow behaviors in 3D simultaneous CIM based on the XPP constitutive equation and visual technique. The numerical results are in good agreement with the available experiment results, which establish the capability of the multiphase flow model presented in this article to simulate the flow behaviors of polymer melt in simultaneous CIM process.
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23

Shore, Joel D., David Ronis, Luc Piché, and Martin Grant. "Theory of melt fracture instabilities in the capillary flow of polymer melts." Physical Review E 55, no. 3 (March 1, 1997): 2976–92. http://dx.doi.org/10.1103/physreve.55.2976.

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24

Dodin, Mark G. "Mathematical Models of Polymer Melt Viscosity in Shearing Flow 1 Polyethylene Melts." International Journal of Polymeric Materials 11, no. 2 (January 1986): 115–35. http://dx.doi.org/10.1080/00914038608080191.

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25

Shore, Joel D., David Ronis, Luc Piché, and Martin Grant. "Model for Melt Fracture Instabilities in the Capillary Flow of Polymer Melts." Physical Review Letters 77, no. 4 (July 22, 1996): 655–58. http://dx.doi.org/10.1103/physrevlett.77.655.

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26

MITSUHASHI, Masanori, Keiichi NISHIMURA, Takehiro YAMAMOTO, Noriyasu MORI, and Kiyoji NAKAMURA. "Welding Flow of Low Density Polyethylene Melt." Sen'i Kikai Gakkaishi (Journal of the Textile Machinery Society of Japan) 54, no. 11 (2001): T165—T173. http://dx.doi.org/10.4188/transjtmsj.54.11_t165.

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27

Kiselev, A. A., A. A. Anikin, and Yu V. Chernukhin. "Mathematical model of melt flow channel granulator." Proceedings of the Voronezh State University of Engineering Technologies, no. 1 (April 11, 2016): 11–15. http://dx.doi.org/10.20914/2310-1202-2016-1-11-15.

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28

Sahai, Yogeshwar, and Toshihiko Emi. "Melt Flow Characterization in Continuous Casting Tundishes." ISIJ International 36, no. 6 (1996): 667–72. http://dx.doi.org/10.2355/isijinternational.36.667.

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29

Araki, Katsuhiko, and Kiyoji Nakamura. "Melt Flow Properties of Whisker Reinforced Nylon." Sen'i Kikai Gakkaishi (Journal of the Textile Machinery Society of Japan) 42, no. 9 (1989): T135—T148. http://dx.doi.org/10.4188/transjtmsj.42.9_t135.

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30

Masanori, MITSUHASHI, NISHIMURA Keiichi, YAMAMOTO Takehiro, MORI Noriyasu, and NAKAMURA Kiyoji. "Welding Flow of Low Density Polyethylene Melt." Journal of Textile Engineering 49, no. 1 (2003): 14–22. http://dx.doi.org/10.4188/jte.49.14.

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31

Mitsoulis, Evan, and Savvas G. Hatzikiriakos. "Capillary extrusion flow of a fluoropolymer melt." International Journal of Material Forming 6, no. 1 (August 7, 2011): 29–40. http://dx.doi.org/10.1007/s12289-011-1062-7.

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32

Shenoy, A. V., and D. R. Saini. "Melt Flow Behaviour of Liquid Crystalline Polymer." Molecular Crystals and Liquid Crystals 135, no. 3-4 (January 1986): 343–54. http://dx.doi.org/10.1080/00268948608084816.

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33

Richardson, Chris N. "Melt flow in a variable viscosity matrix." Geophysical Research Letters 25, no. 7 (April 1, 1998): 1099–102. http://dx.doi.org/10.1029/98gl50565.

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34

Fan, Bingfeng, Mahesh Munavalli, and David O. Kazmer. "Polymer Flow in a Melt Pressure Regulator." Journal of Manufacturing Science and Engineering 128, no. 3 (December 7, 2005): 716–22. http://dx.doi.org/10.1115/1.2193545.

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A non-Newtonian, non-isothermal flow analysis has been developed to assist the design of a self-compensating polymer melt regulator, which is a device capable of regulating the melt pressure in polymer processing via an open loop control architecture. The governing mass and momentum equations for the two-dimensional, axisymmetric flow field are solved by a mixed finite element method, in which the velocity components are interpolated by quadratic functions, and the pressure is interpolated by a linear function. The temperature field is solved by the finite difference method. Results of the outlet pressure, valve pin position, bulk temperature rise, and flow rate as functions of the control force for Newtonian isothermal analyses and non-Newtonian non-isothermal analyses are provided. The simulation demonstrates the behavior of candidate regulator designs and provides the performance attributes such as outlet pressure, flow rate, temperature rise, etc., given the decision variables, such as valve parameters, process conditions, and polymer melt rheology. The results indicate that for a regulator design on the order of 20mm diameter, the regulator operates in a mostly closed condition with an aperture opening varying between 0.1 and 1mm. The results suggest that the bulk temperature increases with control force and flow rate and is largely attributable to the increases in viscous heating of the melt through the flow channels, rather than the pinch off between the valve pin and the valve body.
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35

Hong, Zhang, Li Shengping, and Luo Honglie. "Melt flow and fiber properties of copolyesters." Journal of Applied Polymer Science 34, no. 4 (September 1987): 1353–66. http://dx.doi.org/10.1002/app.1987.070340403.

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36

Hristov, Velichko. "Melt Flow Instabilities of Wood Polymer Composites." Composite Interfaces 16, no. 7-9 (January 2009): 731–50. http://dx.doi.org/10.1163/092764409x12477434799525.

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37

Black, William B., and Michael D. Graham. "Wall-Slip and Polymer-Melt Flow Instability." Physical Review Letters 77, no. 5 (July 29, 1996): 956–59. http://dx.doi.org/10.1103/physrevlett.77.956.

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38

BAGDASSAROV, N., and A. DORFMAN. "Granite rheology: magma flow and melt migration." Journal of the Geological Society 155, no. 5 (September 1998): 863–72. http://dx.doi.org/10.1144/gsjgs.155.5.0863.

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39

Nagai, Tohru, Yuichi Kimizuka, Keiichi Nito, and Jun'Etsu Seto. "Melt viscosity and flow birefringence of polycarbonate." Journal of Applied Polymer Science 44, no. 7 (March 5, 1992): 1171–77. http://dx.doi.org/10.1002/app.1992.070440706.

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40

Shidara, Hideo, and Morton M. Denn. "Polymer melt flow in very thin slits." Journal of Non-Newtonian Fluid Mechanics 48, no. 1-2 (July 1993): 101–10. http://dx.doi.org/10.1016/0377-0257(93)80066-k.

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41

Jones, A. D. W. "Flow in a model Czochralski oxide melt." Journal of Crystal Growth 94, no. 2 (February 1989): 421–32. http://dx.doi.org/10.1016/0022-0248(89)90017-1.

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42

Abbas-Abadi, Mehrdad Seifali, Mehdi Nekoomanesh Haghighi, and Hamid Yeganeh. "Effect of the melt flow index and melt flow rate on the thermal degradation kinetics of commercial polyolefins." Journal of Applied Polymer Science 126, no. 5 (May 13, 2012): 1739–45. http://dx.doi.org/10.1002/app.36775.

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43

Li, Youbing, Jing Chen, and Kaizhi Shen. "Melt Vibration Improved Melt Flow Behavior and Mechanical Properties of High Density Polyethylene." Journal of Macromolecular Science, Part B 47, no. 4 (June 2008): 643–53. http://dx.doi.org/10.1080/00222340802118333.

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44

Huang, Jan-Chan, and Zhenghong Tao. "Melt fracture, melt viscosities, and die swell of polypropylene resin in capillary flow." Journal of Applied Polymer Science 87, no. 10 (March 7, 2003): 1587–94. http://dx.doi.org/10.1002/app.11499.

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45

Martyn, M. T., C. Nakason, and P. D. Coates. "Flow visualisation of polymer melts in abrupt contraction extrusion dies: quantification of melt recirculation and flow patterns." Journal of Non-Newtonian Fluid Mechanics 91, no. 2-3 (July 2000): 109–22. http://dx.doi.org/10.1016/s0377-0257(99)00107-x.

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46

Steller, R., and J. Iwko. "New Approach to Melt Pressure Determination during Screw Channel Flow." International Polymer Processing 36, no. 2 (May 1, 2021): 185–92. http://dx.doi.org/10.1515/ipp-2020-4007.

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Abstract Basic equations describing steady, two-directional, isothermal and fully developed drag-pressure flow of generalized Newtonian fluid between parallel plates assumed as the appropriate flow model in flat, shallow screw channel, are given. It is shown that the flow output for any generalized Newtonian fluid in the two-directional case can be described by a simple expression with a few parameters depending in a complicated way on pressure gradient, channel geometry and constants of the constitutive model. The expression is also valid for unidirectional flow as the limiting case of the two-directional flow. The parameters must be determined as a rule with numerical methods. To simplify the practical calculations, a few (semi)analytical methods of parameters determination for unidirectional power law flow are discussed first. These methods make possible to calculate analytically the pressure gradient for known output that is typical of screw flow characterization. The results obtained for the unidirectional flow 1-D were generalized to describe the two-directional flow 2-D, which takes into account both longitudinal and transverse velocity components. The generalization is based on translation and dilation of the 1-D flow characteristics by introducing a few additional parameters, which are only dependent on the helix angle and power law exponent. It was found a very good agreement between exact numerical and approximate ( semi)analytical characteristics for both flows.
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47

Wen, Jin Song, and Xi Ling Zhou. "Numerical Simulation on the Flow Field in Melt Pump." Applied Mechanics and Materials 220-223 (November 2012): 1719–22. http://dx.doi.org/10.4028/www.scientific.net/amm.220-223.1719.

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In this paper, 3D finite element numerical simulation was used on the flow in the XXXX melt pump with POLYFLOW. By numerical simulation analysis on the flow field in the melt pump, distribution characteristics of pressure, flow velocity vectors and shear rate in the melt pump were obtained. Finally, the effects of inflow rate on the pressure difference between the exit and the entrance of the melt pump were investigated by analyzing the pressure field of the melt pump, which could be used to guide the design of melt pump and the plastics molding process.
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48

Ida, Zumrotul, Jyh-Chen Chen, and Thi Hoai Thu Nguyen. "Numerical simulation of the oxygen distribution in silicon melt for different argon gas flow rates during Czochralski silicon crystal growth process." MATEC Web of Conferences 204 (2018): 05013. http://dx.doi.org/10.1051/matecconf/201820405013.

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The effects of argon gas flow rate on the oxygen concentration in Czochralski (CZ) grown silicon crystal were examined. To analyze the influence of the argon gas flow rate in CZ growth process, a 200 mm length silicon single crystal was grown. Different argon gas flow rates are considered. The melt flow pattern, temperature and oxygen concentration distributions in the melt and crystal-melt interface are calculated. The results show that the transport of oxygen impurity is quite dependent on the flow motion in the melt. As the argon gas flow rate increases, there is no fundamental change in flow motion of the melt and the oxygen concentration decreases to a minimum value. When the argon gas flow rate increases further, the flow pattern under the melt-crystal interface starting changes and the oxygen concentration has increased after. Therefore, there is an optimum value for the argon gas flow rate for obtaining the lowest oxygen concentration in the melt.
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49

Chen, Yun, Xin Bo Qi, Dian Zhong Li, and Xiu Hong Kang. "Prediction of Melt Flow Effects on Dendrite Growth." Materials Science Forum 850 (March 2016): 334–40. http://dx.doi.org/10.4028/www.scientific.net/msf.850.334.

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The effects of melt flow on dendrite growth during solidification are studied by the quantitative phase field model coupling the Navier-Stokes equations. Through analyzing the relationship between flow velocity and dendrite growth rate in simulations, a flow Péclet number involving with characteristic flow velocity, characteristic length of the zone affected by flow and thermal (solute) diffusion coefficient, is suggested for dendrite growth under convections. The growth rate increment due to flow follows a power-law relationship with the Péclet number. As the Péclet number is much higher than one, the influence of convection on dendrite growth is apparent, whereas as it is below one, the flow effects can be neglected.
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50

GREENBERG, J. M. "Melt fracture revisited." European Journal of Applied Mathematics 12, no. 4 (August 2001): 465–77. http://dx.doi.org/10.1017/s0956792501004545.

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In a previous paper the author and Demay advanced a model to explain the melt fracture instability observed when molten linear polymer melts are extruded in a capillary rheometer operating under the controlled condition that the inlet flow rate was held constant. The model postulated that the melts were a slightly compressible viscous fluid and allowed for slipping of the melt at the wall. The novel feature of that model was the use of an empirical switch law which governed the amount of wall slip. The model successfully accounted for the oscillatory behavior of the exit flow rate, typically referred to as the melt fracture instability, but did not simultaneously yield the fine scale spatial oscillations in the melt typically referred to as shark skin. In this note, a new model is advanced which simultaneously explains the melt fracture instability and shark skin phenomena. The model postulates that the polymer is a slightly compressible linearly viscous fluid but assumes no-slip boundary conditions at the capillary wall. In simple shear the shear stress τ and strain rate d are assumed to be related by d = Fτ, where F ranges between F2 and F1 > F2. A strain-rate dependent yield function is introduced and this function governs whether F evolves towards F2 or F1. This model accounts for the empirical observation that at high shears polymers align and slide more easily than at low shears, and explains both the melt fracture and shark skin phenomena.
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