Free Volume from Pressure and Temperature Dependent Viscosity and from PVT Measurements for Homo- and Copolymers
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L. Halász
Abstract
Pressure and temperature dependency of shear and elongation viscosity and the thermal expansivity and the compressibility determined from PVT data were investigated for propylene homo- and propylene-1-pentene, -1-hexene, 1-heptene and -nonene copolymers and ethylene homopolymer and ethylene-1-butene, 1-pentene and 1-hexene copolymers. The short branching degree dependence of thermal sensitivity and pressure coefficient and the thermal expansivity and the compressibility has been determined. The fractional free volumes were calculated from the viscosity and PVT curves and the thermal expansion coefficient and compressibility factor of fractional free volume were determined. The temperature, pressure and stress dependence of fractional free volume was investigated. The fractional free volume calculated from viscosity data were compared from values comes from PVT measurement. A conversion equation was suggested.
References
Barus, C. J., “Note on the Dependence of Viscosity on Pressure and Temperature”, Proc. Am. Acad., 27, 13–19(1891), DOI: 10.2307/20020462Suche in Google Scholar
Binding, D. M., et al., “The Pressure Dependence of the Shear and Elongational Properties of Polymer Melts”, J. Non-Newton Fluid Mech., 79, 137–155(1998), DOI: 10.1016/S0377-0257(98)00102-5Suche in Google Scholar
Capt, L., Kamal, M., “The Pressure–volume–temperature Dependence Behaviour of Polyethylene Melts”, Int. Polym. Proc., 15, 83–94(2001)Suche in Google Scholar
Cardinaels, R., et al., “Evaluation and Comparison of Routes to Obtain Pressure Coefficient from High-pressure Capillary Rheometry Data”, Rheol. Acta, 46, 495–505(2007), DOI: 10.1007/s00397-006-0148-5Suche in Google Scholar
Carreras, E. S., et al., “Pressure Effects on Viscosity and Flow Stability of Polyethylene Melts during Extrusion”, Rheol. Acta, 45, 209–222(2006), DOI: 10.1007/s00397-005-0010-1Suche in Google Scholar
Carreau, P. I., “Rheological Equation from Molecular Network Theories”, Trans. Soc. Rheol., 16, 99–127(1972), DOI: 10.1122/1.549276Suche in Google Scholar
Cogswell, F. N., “Converging Flow of Polymer Melts in Extrusion Dies”, Polym. Eng. Sci., 12, 64–68(1972a), DOI: 10.1002/pen.760120111Suche in Google Scholar
Cogswell, F. N., McGowan, J. C., “The Effects of Pressure and Temperature upon the Viscosities of Liquids with Special Referencc to Polymeric Liquids”, Br. Polym. J., 4, 183–198(1972b), DOI: 10.1002/pi.4980040304Suche in Google Scholar
Couch, M. A., Binding, D. M., “High Pressure Capillary Rheometry of Polymeric Fluids”, Polymer, 41, 6323–6334(2000), DOI: 10.1016/S0032-3861(99)00865-4Suche in Google Scholar
Dealy, J. M., “Misuse of the Term Pressure in Rheology”, Rheology Bulletin, 77, 10–13, 26–27(2008)Suche in Google Scholar
Doolitlle, A. K., “Studies in Newtonian flow 2. The Dependence of the Viscosity of Liquids on Free-space”, J. Appl. Phys., 22, 1471–1475(1951), DOI: 10.1063/1.1699894Suche in Google Scholar
Doolittle, A. K., “Studies in Newtonian flow III. The Dependence of the Viscosity of Liquids on Molecular Weight and Free-space (in Homologous Series)”, J. Appl. Phys, 23, 236–239(1952), DOI: 10.1063/1.1702182Suche in Google Scholar
Fox, T. G., Flory, P., “Second Order Transition Temperatures and Related Properties of Polystyrene. I. Influence of Molecular Weight”, J. Appl. Phys., 21, 581–591(1950), DOI: 10.1063/1.1699711Suche in Google Scholar
Goubert, A., et al., “Comparison of Measurement Techniques for Evaluating the Pressure Dependence of the Viscosity”, J. Appl. Rheol., 11, 26–32(2001)Suche in Google Scholar
Göttfert Rheograph 25/75/120, High Pressure Capillary Rheometers, Production Description (2007)Suche in Google Scholar
Halász, L., et al., “Rheological, Thermal and Crystallization Properties of Ethylene, Propylene and α-Olefin Copolymers I. Rheological Properties”, Plast. Rubber Compos., 33, 195–203(2004), DOI: 10.1179/174328904X4909Suche in Google Scholar
Halász, L., et al., “Rheological, Thermal and Crystallization Properties of Ethylene, Propylene and α-Olefin Copolymers II. Thermal and Crystallization Properties”, Plast. Rubber Compos., 33, 204–211(2004)Suche in Google Scholar
Halász, L., et al., “The Effect of Short Chain Branching on the Rheological and Thermal Properties of Olefin-α-Olefin Copolymers”, Rheol. Acta, 44, 76–80(2005)Suche in Google Scholar
Huilgol, R. R., “On the Definition of Pressure in Rheology”, Rheology Bulletin, 78, 12–15, 29(2009)Suche in Google Scholar
Kajdik, S. E., Van Den Brule, B. H., “On the Pressure Depence of Viscosity of Molten Polymers”. Polym. Eng. Sci., 34, 1535–1546(1994), DOI: 10.1002/pen.760342004Suche in Google Scholar
Larson, R. G.: Constitutive Equations for Polymer Melts and Solution, Butterworth, Boston, London(1988)10.1016/B978-0-409-90119-1.50012-9Suche in Google Scholar
La Mantia, F. P., “Non-Linear Viscoelasticity of Polymer Liquids Interpreted by Means of a Stress Dependence of Free Volume”, Rheol. Acta, 16, 302–308(1972), DOI: 10.1007/BF01523740Suche in Google Scholar
Laun, H. M., “Pressure Dependent Viscosity and Dissipative Heating in Capillary Rheometry of Polymer Melts”, Rheol. Acta, 42, 295–308(2003), DOI: 10.1007/s00397-002-0291-6Suche in Google Scholar
Laun, H. M., “Capillary Rheometry for Polymer Melts Revisited”, Rheol Acta, 43, 509–528(2004), DOI: 10.1007/s00397-004-0387-2Suche in Google Scholar
Laun, H. M., Such, H., “Transient Elongational Viscosities and Drawability of Polymer Melts”, J. Rheol., 33, 119–134(1989), DOI: 10.1122/1.550058Suche in Google Scholar
Mackey, M. R., Spitteler, P. H. J., “Experimental Observations on the Pressure Dependent Polymer Melt Rheology of Linear Low-Density Polyethylene Using Multi-Pass Rheometer”, Rheol. Acta, 35, 202–209(1996), DOI: 10.1007/BF00396047Suche in Google Scholar
Macosko, C. W.: Rheology: Principles, Measurements and Applications, Wiley-VCH, New York(1994)Suche in Google Scholar
Oosterlinck, F.: Flow of Polymers under High Pressure, Master Thesis, Katholieke Universiteit Leuven, Belgium(2000)Suche in Google Scholar
Prigogine, I., et al.: The Molecular Theory of Solutions, North Holland, Amsterdam(1957)Suche in Google Scholar
Sanches, I. C., Lacombe, R. H., “Statistical Thermodynamics of Polymer Solutions”, Macromolecules, 11, 1145–1156(1978), DOI: 10.1021/ma60066a017Suche in Google Scholar
SanchesI.C., LacombeR.H., “Elementary Molecular Theory of Classical Fluids-Pure Fluids”, J. Phys. Chem., 80, 2353–2362(1976)Suche in Google Scholar
Sarkar, D., Gupta, M., “Further Investigation of the Effect of Elongational Viscosity on Entrance Flow”, J. Reinf. Plastics Compos., 1473–1478(2001)10.1177/073168401772679101Suche in Google Scholar
Sato, Y., et al., “PVT Properties Polyethylene Copolymer Melts”, Fluid Phase Equilibra, 257, 124–130(2007), DOI: 10.1016/j.fluid.2007.01.013Suche in Google Scholar
Sedlacek, T., et al., “On the Effect of Pressure on the Shear and Elongational Viscosity of Polymer Melts”, Polym Eng. Sci., 44, 1328–1332(2004), DOI: 10.1002/pen.20128Suche in Google Scholar
Sedlacekt, C. R., et al., “On PVT and Rheological Measurements of Polymer Melts”, Int. Polym. Proc., 20, 286–295(2005)Suche in Google Scholar
Simha, R., Slomcynsky, T., “On the Statistical Thermodynamics of Spherical and Chain Molecule Fluids”, Macromolecules, 2, 342–350(1969), DOI: 10.1021/ma60010a005Suche in Google Scholar
Simha, R., “Polymer and Oligomer Melts Thermodynamics, Correlations and Lattice Hole Theory”, Polym. Eng. Sci., 36, 1567–1573(1996), DOI: 10.1002/pen.10553Suche in Google Scholar
Simha, R., “Configurational Thermodynamics of the Liquid and Glassy Polymeric States”, Macromolecules, 10, 1025–1035(1977), DOI: 10.1021/ma60059a028Suche in Google Scholar
Simha, R., et al., “Bulk Modulus and Thermal Expansivity of Melt Polymer Composites Statistical Versus Micromechanics”, Polym. Compos., 5, 3–10(1984), DOI: 10.1002/pc.750050104Suche in Google Scholar
Slomcynsky, T., Simha, R., “Hole Theory of Liquids and Glass Transition”, J. Appl. Phys., 42, 4545–4548(1971), DOI: 10.1063/1.1659821Suche in Google Scholar
Tincul, I., et al., “Propylene Copolymers with Linear Fischer-Tropsch Derived a-Olefins”, Polypropylene'99, 8th Annual Wold Congress, Zürich (1999)Suche in Google Scholar
Utracki, L. A., “Pressure Dependence of Newtonian Viscosity”. Polym. Eng. Sci., 23, 446–451(1983), DOI: 10.1002/pen.760230806Suche in Google Scholar
Utracki, L. A., “A Method of Computation of Pressure Effect on Melt Viscosity”, Polym. Eng. Sci., 25, 655–668(1985), DOI: 10.1002/pen.760251104Suche in Google Scholar
Utracki, L. A., “Correlation between P–V–T Behaviour and the Zero Shear Viscosity of Liquid Mixtures”, in Hartmann, B. (Ed.) Thermodynamics and Rheology, J. Rheol., 30, 829–841(1986)Suche in Google Scholar
Utracki, L. A., “Pressure–Volume–Temperature Dependencies of Polystyrenes”, Polymer, 46, 11548–11556(2005), DOI: 10.1016/j.polymer.2005.10.020Suche in Google Scholar
Utracki, L. A., Simha, R., “Analytical Representation of Solutions to Lattice-Hole Theory”, Macromol. Chem. Phys. Molecul. Theory Simul., 10, 17–24(2001), DOI: 10.1002/1521-3919(20010101)10:1<17::AID-MATS17>3.0.CO;2-BSuche in Google Scholar
Utracki, L. A., Sedlacek, T., “Free Volume Dependence of Polymer Viscosity”, Rheol. Acta, 46, 479–494. (2007), DOI: 10.1007/s00397-006-0133-zSuche in Google Scholar
Yasuda, K. Y., et al., “Shear Flow Properties of Concentrated Solutions of Linear and Short Branched Polystyrenes”. Rheol. Acta, 20, 163–178(1981), DOI: 10.1007/BF01513059Suche in Google Scholar
© 2011, Carl Hanser Verlag, Munich
Artikel in diesem Heft
- Contents
- Contents
- Regular Contributed Articles
- Evaluation of Vacuum Venting for Micro-injection Molding
- Effect of Mechanical Milling on the Thermal Behavior of Polyethylene Reinforced with Nano-sized Alumina
- Preparation of Poly(acrylic acid)-Poly(ethylene oxide) Nanofibers via Electrospinning and Investigation of Their Morphology
- Concentration Effects of Organosilane (TESPD) on Mechanical Properties of Silica Filled Silicone Rubber/Natural Rubber Compounds
- Microcellular PP vs. Microcellular PP/MMT Nanocomposites: A Comparative Study of Their Mechanical Behavior
- Influence of Processing Conditions on Productivity, Thermal and Rheological Properties of Reprocessed Low Density Polyethylene
- Optimization of Dispersion of Nanosilica Particles in a PP Matrix and Their Effect on Foaming
- Paint/Polymer Interface Structure for ABS Injection Moldings
- Free Volume from Pressure and Temperature Dependent Viscosity and from PVT Measurements for Homo- and Copolymers
- Investigation into the Differences in the Selective Laser Sintering between Amorphous and Semi-crystalline Polymers
- Rheological Modeling and Dynamic Characteristics of Disc Extruders
- The Effect of Polymer Additives on Surface Quality of Microcellular Injection Molded Parts
- Using Supercritical Carbon Dioxide for Physical Foaming of Advanced Polymer Materials
- Effect of Ionomer on Barrier and Mechanical Properties of PET/Organoclay Nanocomposites Prepared by Melt Compounding
- Rapid Communications
- Triangle Rule for Operating Windows and Scale-up Criteria for Volume Resistivity of PP/Carbon Nanotubes Composites
- Crystallization in Polymer Melts: Metamorphism of Flow Induced Nuclei
- PPS-News
- PPS News
- Seikei Kakou Abstracts
- Seikei-Kakou Abstracts
Artikel in diesem Heft
- Contents
- Contents
- Regular Contributed Articles
- Evaluation of Vacuum Venting for Micro-injection Molding
- Effect of Mechanical Milling on the Thermal Behavior of Polyethylene Reinforced with Nano-sized Alumina
- Preparation of Poly(acrylic acid)-Poly(ethylene oxide) Nanofibers via Electrospinning and Investigation of Their Morphology
- Concentration Effects of Organosilane (TESPD) on Mechanical Properties of Silica Filled Silicone Rubber/Natural Rubber Compounds
- Microcellular PP vs. Microcellular PP/MMT Nanocomposites: A Comparative Study of Their Mechanical Behavior
- Influence of Processing Conditions on Productivity, Thermal and Rheological Properties of Reprocessed Low Density Polyethylene
- Optimization of Dispersion of Nanosilica Particles in a PP Matrix and Their Effect on Foaming
- Paint/Polymer Interface Structure for ABS Injection Moldings
- Free Volume from Pressure and Temperature Dependent Viscosity and from PVT Measurements for Homo- and Copolymers
- Investigation into the Differences in the Selective Laser Sintering between Amorphous and Semi-crystalline Polymers
- Rheological Modeling and Dynamic Characteristics of Disc Extruders
- The Effect of Polymer Additives on Surface Quality of Microcellular Injection Molded Parts
- Using Supercritical Carbon Dioxide for Physical Foaming of Advanced Polymer Materials
- Effect of Ionomer on Barrier and Mechanical Properties of PET/Organoclay Nanocomposites Prepared by Melt Compounding
- Rapid Communications
- Triangle Rule for Operating Windows and Scale-up Criteria for Volume Resistivity of PP/Carbon Nanotubes Composites
- Crystallization in Polymer Melts: Metamorphism of Flow Induced Nuclei
- PPS-News
- PPS News
- Seikei Kakou Abstracts
- Seikei-Kakou Abstracts