New Approach to Melt Pressure Determination during Screw Channel Flow
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R. Steller
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.
References
Agassant, J. F., Avenas, P., Carreau, P. J., Vergnes, B. and Vincent M.: Polymer Processing. Principles and Modelling, Hanser, Munich (2017), DOI:10.3139/9781569906064.fm10.3139/9781569906064.fmSuche in Google Scholar
Baird, D. G., Collias, D. I.: Polymer Processing. Principles and Design, Wiley, Hoboken (2014)Suche in Google Scholar
Chung, C. I.: Extrusion of Polymers. Theory and Practice, Hanser, Munich (2011)Suche in Google Scholar
Griffith, R. M., “Fully Developed Flow in Screw Extruders. Theoretical and Experimental Study", Ind. Eng. Chem. Fundam., 3, 180– 187 (1962), DOI:10.1021/i160003a00410.1021/i160003a004Suche in Google Scholar
Hirshberger, M.: Flow of Non-Newtonian Fluids in Rectangular Channels, M.S. Thesis, Dept. of Chem. Eng., Technion, Israel Institute of Technology, Haifa (1970)Suche in Google Scholar
Marschik, C., Loew-Baselli, B. and Miethlinger, J., “A Network-Theory-Based Comparative Study of Melt-Conveying Models in Single-Screw Extrusion: A. Isothermal Flow", Polymers, 10, 929–950 (2018), DOI:10.3390/polym1008092910.3390/polym10080929Suche in Google Scholar PubMed PubMed Central
Marschik, C., Roland, W., Loew-Baselli, B. and Miethlinger, J., “A Heuristic Method for Modelling Three-Dimensional Non-Newtonian Flows of Polymer Melts in Single Screw Extruders", J. Non-Newtonian Fluid Mech., 248, 27–39 (2017), DOI:10.1016/j.jnnfm.2017.08.00710.1016/j.jnnfm.2017.08.007Suche in Google Scholar
McAskill, B., Watt, W., Balzarini, E., Johnson, B., Kennedy, R., Melnyk, T. and Zarski, Ch.: Chapter1 Function Transformations, Pre-Calculus 12, McGraw-Hill Ryerson, Toronto, p. 6–55 (2012)Suche in Google Scholar
Pachner, S., Loew-Baselli, B., Affenzeller, M. and Miethlinger, J., “A Generalized 2D Output Model of Polymer Melt Flow in Single-Screw Extrusion", Int. Polym. Proc., 32, 209–216 (2017), DOI:10.3139/217.332610.3139/217.3326Suche in Google Scholar
Potente, H., “Approximationsgleichungen für Schmelzeextruder", Rheol. Acta, 22, 387 –395 (1983), DOI:10.1007/BF0133376910.1007/BF01333769Suche in Google Scholar
Rauwendaal, C.: Polymer Extrusion, Hanser, Munich (2014), DOI:10.3139/9781569905395.fm10.3139/9781569905395.fmSuche in Google Scholar
Steller, R. T.: “Generalized Slit Flow of an Ellis Fluid", Polym. Eng. Sci., 41, 1859 –1870 (2001), DOI:10.1002/pen.1088310.1002/pen.10883Suche in Google Scholar
Steller, R., “Flow of Generalized Newtonian Liquids in Screw Channel of Extruder Plasticating System (in Polish)", Polimery, 54, 288 – 295 (2009) (in Polish), DOI:10.14314/polimery.2009.28810.14314/polimery.2009.288Suche in Google Scholar
Steller, R., “Theoretical Model for Flow of Polymer Melts in the Screw Channel", Polym. Eng. Sci., 30, 400–407 (1990), DOI:10.1002/pen.76030070410.1002/pen.760300704Suche in Google Scholar
Steller, R., Iwko, J., “Generalized Flow of Ellis Fluid in the Screw Channel Part 1 Parallel Plates Model", Int. Polym. Proc., 16, 241– 248 (2001), DOI:10.3139/217.164910.3139/217.1649Suche in Google Scholar
Steller, R., Iwko, J., “Generalized Flow of Ellis Fluid in the Screw Channel Part 1 Curved Channel Model", Int. Polym. Proc., 16, 249–256 (2001), DOI:10.3139/217.165010.3139/217.1650Suche in Google Scholar
Tadmor, Z., Gogos, C. G.: Principles of Polymer Processing, Wiley, Hoboken (2006)Suche in Google Scholar
Tadmor, Z., Klein, I.: Engineering Principles of Plasticating Extrusion, Van Nostrand, New York (1970)Suche in Google Scholar
Torner, R. V.: Grundprozesse der Verarbeitung von Polymeren, VEB Deutscher Verlag für Grundstoffindustrie, Leipzig (1973)Suche in Google Scholar
White L. J., Potente, H.: Screw Extrusion. Science and Technology, Hanser, Munich (2003), DOI:10.3139/9783446434189.fm10.3139/9783446434189.fmSuche in Google Scholar
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Artikel in diesem Heft
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Artikel in diesem Heft
- Frontmatter
- Review Article
- Extraction, Treatment and Applications of Natural Fibers for Bio-Composites – A Critical Review
- Regular Contributed Articles
- Multi-Layer Counter-Pressure Injection Molding for Thick-Walled Optical Lens
- Enhancing the Thermal and Mechanical Characteristics of Polyvinyl Alcohol (PVA)-Hemp Protein Particles (HPP) Composites
- A Comparative Fatigue Analysis of GFRP, CFRP and Structural Steel for Connecting Rod Using ANSYS
- Morphological and Mechanical Properties of Thermoplastic Elastomers Based on Recycled High Density Polyethylene and Recycled Natural Rubber
- Design and Preparation of Magnetism-Driven Intelligent Hydrogel Actuators
- Synthesis of a Flame Retardant for Epoxy Resins: Thermal Stability, Flame Retardancy, and Flame-Retardant Modes
- New Approach to Melt Pressure Determination during Screw Channel Flow
- Effect of Basalt Intraply Fiber Hybridization on the Compression Behavior of Filament Wound Composite Pipes
- Assessment of Impact Energy, Wear Behavior, Thermal Resistance and Water Absorption Properties of Hybrid Bagasse Fiber/CaCO3 Reinforced Polypropylene Composites
- Multilevel Analysis of Strain Rate Effect on Visco-Damage Evolution in Short Random Fiber Reinforced Polymer Composites
- The Effect of the Compounding Procedure on the Morphology and Mechanical Properties of PLA/PBAT-Based Nanocomposites
- PPS News
- Seikei-kakou abstracts
- PPS Membership application
