Simha-Somcynsky Equation of State Modeling of the PVT Behavior of PP/Clay-Nanocomposite/CO2 Mixtures
-
M. M. Hasan
and C. B. Park
Abstract
The Pressure-Volume-Temperature (PVT) property of polymer nanocomposite (PNC)/gas solutions is an important fundamental property in the foaming of PNC. However, accurate data have not yet been reported. We examined the PVT behaviors of polypropylene (PP) and PP/organoclay polymer nanocomposite (PP-PNC) by monitoring the swelling changes of the polymer melt in supercritical carbon dioxide (scCO2). A model was adopted that describes the PVT behaviors of PP-PNC with and without dissolved gas. Based on the model, a PNC consists of two sections: a hard section (a nanoparticle surrounded by solidified polymer) and a soft section (neat polymer). It was observed that an infusion of nanoparticles decreased the swelling. It seems that the hard section had a minimal free volume in which to dissolve the blowing agents, and that the number of hard sections increased with the infusion of nanoparticles. As a result, the total gas absorption capacity of the system decreased, and consequently, the swelling also decreased.
References
Acharya, D. P., Gutiérrez, J. M., Aramakia, K., Aratanic, K. and Kunieda, H., “Interfacial Properties and Foam Stability Effect of Novel Gemini-Type Surfactants in Aqueous Solutions”, J. Colloid Interface Sci., 291, 236–243 (2005) 10.1016/j.jcis.2005.04.105Search in Google Scholar
Antunes, M., Gedler, G. and Velasco, J. I., “Multifunctional Nanocomposite Foams Based on Polypropylene with Carbon Nanofillers”, J. Cell. Plast., 49, 259–279 (2013)10.1177/0021955X13477433Search in Google Scholar
Areerat, S., Hayata, Y., Katsumoto, R., Kegasawa, T., Egami, H. and Oshima, M., “Solubility of Carbon Dioxide in Polyethylene/Titanium Dioxide Composite under High Pressure and Temperature”, J. Appl. Polym. Sci., 86, 282–288 (2002) 10.1002/app.10944Search in Google Scholar
Briscoe, B., Kelly, C., “Optical Studies of Polymers in High Pressure Gas Environments”, Mat. Sci. Eng. A, 168, 111–115 (1993) 10.1016/0921-5093(93)90281-ISearch in Google Scholar
Buckley, D. J., Berger, M., “The Swelling of Polymer Systems in Solvents. II. Mathematics of Diffusion”, J. Polym. Sci., 56, 175–188 (1962) 10.1002/pol.1962.1205616315Search in Google Scholar
Canny, J., “A Computational Approach to Edge Detection”, Patt. Analys. and Mach. Intell., IEEE Tran. On, 679–698 (1986)10.1109/TPAMI.1986.4767851Search in Google Scholar
Chapra, S. C.: Applied Numerical Methods: With MATLAB for Engineers and Scientists, Mcgraw-Hill Science Engineering, NY (2005)Search in Google Scholar
Chen, J., Sun, X., Turng, L., Zhao, L., Liu, T. and Yuan, W., “″Investigation of Crystallization Behavior of Solid and Microcellular Injection Molded Polypropylene/Nano-Calcium Carbonate Composites Using Carbon Dioxide as a Blowing Agent”, J. Cell. Plast., 49, 459–475 (2013) 10.1177/0021955X13488400Search in Google Scholar
Dean, R., Dixon, W., “Simplified Statistics for Small Numbers of Observations”, Analyt. Chem., 23, 636–638 (1951) 10.1021/ac60052a025Search in Google Scholar
Ender, D., “Elastomeric Seals”, Chemtech., 16, 52–57 (1986)Search in Google Scholar
Foster, G. N., Waldman, N. and Griskey, R. G., “Pressure-Volume-Temperature Behavior of Polypropylene”, Polym. Eng. Sci, 6, 131–134 (1996) 10.1002/pen.760060208Search in Google Scholar
Gross, J., Sadowski, G., “Perturbed-Chain SAFT: An Equation of State Based on a Perturbation Theory for Chain Molecules”, Ind. Eng. Chem. Res., 40, 1244–1260 (2001) 10.1021/ie0003887Search in Google Scholar
Gross, J., Sadowski, G., “Application of the Perturbed-Chain SAFT Equation of State to Associating Systems”, Ind. Eng. Chem. Res., 41, 5510–5515 (2002) 10.1021/ie010449gSearch in Google Scholar
Guo, Q., Park, C. B., Xu, X. and Wang, J., “Relationship of Fractional Free Volumes Derived From the Equations of State (EOS) and the Doolittle Equation”, J. Cell. Plast., 43, 69–82 (2007) 10.1177/0021955X07073140Search in Google Scholar
Han, X., Zeng, C., Lee, J., Keolling, K. W. and Tomasko, D. L., “Extrusion of Polystyrene Nanocomposite Foams with Supercritical CO2”, Polym. Eng. Sci., 43, 1261–1275 (2003) 10.1002/pen.10107Search in Google Scholar
Hasan, M. M., Li, Y. G., Li, G., Park, C. B. and Chen, P., “Determination of Solubilities of CO2 in Linear and Branched Polypropylene Using a Magnetic Suspension Balance and a PVT Apparatus”, J. Chem. Eng. Data, 55, 4885–4895 (2010) 10.1021/je100488vSearch in Google Scholar
Hirose, T., Mizoguchi, K. and Kamiya, Y., “Dilation of Polyethylene by Sorption of Carbon Dioxide”, J. Polym. Sci. Part B, 24, 2107–2115 (1986) 10.1002/polb.1986.090240915Search in Google Scholar
Horn, R., Israelachvili, J., “Molecular Organization and Viscosity of a Thin Film of Molten Polymer Between Two Surfaces as Probed by Force Measurements”, Macromolecules, 21, 2836–2841 (1988) 10.1021/ma00187a032Search in Google Scholar
Israelachvili, J. N., Tirrell, M., Klein, J. and Almog, Y., “Forces between Two Layers of Adsorbed Polystyrene Immersed in Cyclohexane Below and Above the Temperature”, Macromolecules, 17, 204–209 (1984) 10.1021/ma00132a015Search in Google Scholar
Jiang, X.-L., Bao, J.-B., Liu, T., Zhao, L., Xu, Z.-M. and Yuan, W.-K., “Microcellular Foaming of Polypropylene/Clay Nanocomposites with Supercritical Carbon Dioxide”, J. Cell. Plast., 45, 515–538 (2009) 10.1177/0021955X09339470Search in Google Scholar
Lacombe, R. H., Sanchez, I. C., “Statistical Thermodynamics of Fluid Mixtures”, J. Phys. Chem., 80, 2568–2580 (1976) 10.1021/j100564a009Search in Google Scholar
Ladin, D., Park, C. B., Park, S. S., Naguib, H. E. and Cha, S. W., “Study of Shear and Extensional Viscosities of Biodegradable PBS/CO2 Solutions”, J. Cell. Plast., 37, 109–148 (2001) 10.1106/72D3-9PX6-7C60-RD2XSearch in Google Scholar
Lee, Y. H., Park, C. B., Wang, K. H. and Lee, M. H., “HDPE-Clay Nanocomposite Foams Blown with Supercritical CO2”, J. Cell. Plast., 41, 487–502 (2005) 10.1177/0021955X05056964Search in Google Scholar
Li, G., Li, H., Turng, L. S., Gong, S. and Zhang, C., “Measurement of Gas Solubility and Diffusivity in Polylactide”, Fluid Phase Equilib., 246, 158–166 (2006a) 10.1016/j.fluid.2006.05.030Search in Google Scholar
Li, G., Li, H., Wang, J. and Park, C. B., “Investigating the Solubility of CO2 in Polypropylene Using Various EOS Models”, Cell. Polym., 25, 237–248 (2006b)10.1177/026248930602500403Search in Google Scholar
Li, G., Gunkel, F., Wang, J. and Park, C. B., “Solubility Measurements of N2 and CO2 in Polypropylene and Ethene/Octene Copolymer”, J. Appl. Polym. Sci., 103, 2945–2953 (2007a) 10.1002/app.25163Search in Google Scholar
Li, G., Wang, J., Park, C. B. and Simha, R., “Measurement of Gas Solubility in Linear/Branched PP Melts”, J. Polym. Sci. Part B., 45, 2497–2508 (2007b) 10.1002/polb.21229Search in Google Scholar
Li, G., Leung, S. N., Hasan, M. M., Wang, J. and Park, C. B., “A Thermodynamic Model for Ternary Mixture Systems-Gas Blends in a Polymer Melt”, Fluid Phase Equilib., 266, 129–142 (2008a) 10.1016/j.fluid.2008.02.003Search in Google Scholar
Li, H., Lee, L. J. and Tomasko, D. L., “Effect of Carbon Dioxide on the Interfacial Tension of Polymer Melts”, Ind. Eng. Chem. Res., 43, 509–514 (2004) 10.1021/ie034092nSearch in Google Scholar
Li, Y. G., “Development of a Novel Visualization and Measurement Apparatus for the PVT Behaviours of Polymer/Gas Solutions”, Ph.D. Thesis, MIE Dept., University of Toronto (2008)Search in Google Scholar
Li, Y. G., Park, C. B., Li, H. B. and Wang, J., “Measurement of the PVT Property of PP/CO2 Solution”, Fluid Phase Equilib., 270, 15–22 (2008b) 10.1016/j.fluid.2008.05.007Search in Google Scholar
Li, Y. G., Park, C. B., “Effects of Branching on the Pressure-Volume-Temperature Behaviors of PP/CO2 Solutions”, Ind. Eng. Chem. Res., 48, 6633–6640 (2009) 10.1021/ie8015279Search in Google Scholar
Liao, X., Li, Y. G., Park, C. B. and Chen, P., “Interfacial Tension of Linear and Branched PP in Supercritical Carbon Dioxide”, J. Supercrit. Fluids, 55, 386–394 (2010) 10.1016/j.supflu.2010.06.011Search in Google Scholar
Nofar, M., Majithiya, K., Kuboki, T. and Park, C. B., “The Foamability of Low-Melt-Strength Linear PP With Nanoclay and Coupling Agent”, J. Cell. Plast., 48, 271–287 (2012) 10.1177/0021955X12440271Search in Google Scholar
Okamoto, M., Nam, P. H., Maiti, P., Kotaka, T., Nakayama, T., Takada, M., Ohshima, M., Usuki, A., Hasegawa, N. and Okamoto, H., “Biaxial Flow-Induced Alignment of Silicate Layers in Polypropylene/Clay Nanocomposite Foam”, Nano Letters, 1, 503–505 (2001) 10.1021/nl010051Search in Google Scholar
Park, H., Park, C. B., Tzoganakis, C., Tan, K.-H. and Chen, P., “Surface Tension Measurement of Polystyrene Melts in Supercritical Carbon Dioxide”, Ind. Eng. Chem. Res., 45, 1650–1658 (2006) 10.1021/ie0509084Search in Google Scholar
Park, H., Park, C. B., Tzoganakis, C., Tan, K.-H. and Chen, P., “Simultaneous Determination of the Surface Tension and Density of Polystyrene in Supercritical Nitrogen”, Ind. Eng. Chem. Res., 47, 4369–4373 (2008) 10.1021/ie071472qSearch in Google Scholar
Park, H., Thompson, R. B., Lanson, N., Tzoganakis, C., Park, C. B. and Chen, P., “Effect of Temperature and Pressure on Surface Tension of Polystyrene in Supercritical Carbon Dioxide”, J. Phys. Chem. B, 111, 3859–3868 (2007) 10.1021/jp065851tSearch in Google Scholar
Park, S. S., Tzoganakis, C., Park, C. B., Ladin, D. and Naguib, H. E., “Development of a Dilatometer for Measurement of the PVT Properties of a Polymer/CO2 Solution Using a Foaming Extruder and a Gear Pump”, J. Manuf. Sci. Eng., 124, 86–91 (2002) 10.1115/1.1418696Search in Google Scholar
Paul, D., Robeson, L., “Polymer Nanotechnology: Nanocomposites”, Polymer, 49, 3187–3204 (2008) 10.1016/j.polymer.2008.04.017Search in Google Scholar
Rodgers, P. A., “Pressure-Volume-Temperature Relationships for Polymeric Liquids: A Review of Equations of State and their Characteristic Parameters for 56 Polymers”, J. Appl. Polym. Sci., 48, 1061–1080 (1993) 10.1002/app.1993.070480613Search in Google Scholar
Sanchez, I. C., Lacombe, R. H., “An Elementary Molecular Theory of Classical Fluids. Pure Fluids”, J. Phys. Chem., 80, 2352–2362 (1976) 10.1021/j100562a008Search in Google Scholar
Sato, Y., Fujiwara, K., Takikawa, T., Sumarno, Takishima, S. and Masuoka, H., “Solubilities and Diffusion Coefficients of Carbon Dioxide and Nitrogen in Polypropylene, High-Density Polyethylene, and Polystyrene Under High Pressures and Temperatures”, Fluid Phase Equilib., 162, 261–276 (1999) 10.1016/S0378-3812(99)00217-4Search in Google Scholar
Sato, Y., Iketani, T., Takishima, S. and Masuoka, H., “Solubility of Hydrofluorocarbon (HFC-134a, HFC-152a) and Hydrochlorofluorocarbon (HCFC-142b) Blowing Agents in Polystyrene”, Polym. Eng. Sci., 40, 1369–1375 (2000) 10.1002/pen.11266Search in Google Scholar
Sato, Y., Masuoka, H., “Solubility, Diffusivity and Related Properties for Carbon Dioxide + Polymer Solutions”, Nihon Enerugi Gakkaishi/J. of the Japan Inst. of Energy, 79, 992–997 (2000)Search in Google Scholar
Sato, Y., Takikawa, T., Takishima, S. and Masuoka, H., “Solubilities and Diffusion Coefficients of Carbon Dioxide in Poly(vinyl acetate) and Polystyrene”, J. Supercrit. Fluids, 19, 187–198 (2001) 10.1016/S0896-8446(00)00092-9Search in Google Scholar
Sato, Y., Takikawa, T., Yamane, M., Takishima, S. and Masuoka, H., “Solubility of Carbon Dioxide in PPO and PPO/PS Blends”, Fluid Phase Equilib., 194–197, 847–858 (2002)10.1016/S0378-3812(01)00687-2Search in Google Scholar
Sato, Y., Yamasaki, Y., Takishima, S. and Masuoka, H., “Precise Measurement of the PVT of Polypropylene and Polycarbonate up to 330°C and 200 MPa”, J. Appl. Polym. Sci., 66, 141–150 (1997) 10.1002/(SICI)1097-4628(19971003)66:1<141::AID-APP17>3.0.CO;2-4Search in Google Scholar
Shen, J., Zeng, C. and Lee, L. J., “Synthesis of Polystyrene-Carbon Nanofibers Nanocomposite Foams”, Polymer, 46, 5218–5224 (2005) 10.1016/j.polymer.2005.04.010Search in Google Scholar
Simha, R., Xie, H., “Applying Lattice-Hole Theory to Gas Solubility in Polymers”, Polym. Bull., 40, 329–335 (1998) 10.1007/s002890050259Search in Google Scholar
Tait, P., “Physics and Chemistry of the Voyage of HMS Challenger, Vol. II, Part IV”, Sci. Papers LXI, 2, (1900)Search in Google Scholar
Tait, P. G.: Report on Some of the Physical Properties of Fresh Water and of Sea-Water, Johnson Reprint, New York (1965)Search in Google Scholar
Utracki, L. A., Simha, R., “Pressure-Volume-Temperature Dependence of Polypropylene/Organoclay Nanocomposites”, Macromolecules, 37, 10123–10133 (2004) 10.1021/ma048262zSearch in Google Scholar
Utracki, L. A., Simha, R. and Rejon, A. G., “Pressure-Volume-Temperature Dependence of Poly-E-Caprolactam/Clay Nanocomposites”, Macromolecules, 36, 2114–2121 (2003) 10.1021/ma0215464Search in Google Scholar
Wissinger, R., Paulaitis, M., “Swelling and Sorption in Polymer-CO2 Mixtures at Elevated Pressures”, J. Polym. Sci. Part B, 25, 2497–2510 (1987) 10.1002/polb.1987.090251206Search in Google Scholar
Xie, H., Simha, R., “Theory of Solubility of Gases in Polymers”, Polym. Int., 44, 348–355 (1997) 10.1002/(SICI)1097-0126(199711)44-3<348::AID-PI877>3.0.CO;2-ISearch in Google Scholar
Yeh, S.-K., Liu, Y.-C., Wu, W.-Z., Chang, K.-C., Guo, W.-J. and Wang, S.-F., “Thermoplastic Polyurethane/Clay Nanocomposite Foam Made by Batch Foaming”, J. Cell. Plast., 49, 119–130 (2013) 10.1177/0021955X13477432Search in Google Scholar
Yuan, M., Song, Q. and Turng, L.-S., “Spatial Orientation of Nanoclay and Crystallite in Microcellular Injection Molded Polyamide-6 Nanocomposites”, Polym. Eng. Sci., 47, 765–779 (2007) 10.1002/pen.20752Search in Google Scholar
Zheng, W., Lee, Y. H. and Park, C. B., “The Effects of Exfoliated Nano-Clay on the Extrusion Microcellular Foaming of Amorphous and Crystalline Nylon”, J. Cell. Plast., 42, 271–288 (2006) 10.1177/0021955X06063514Search in Google Scholar
Zoller, P., “The Pressure-Volume-Temperature Properties of Three Well-Characterized Low-Density Polyethylenes”, J. Appl. Polym. Sci., 23, 1051–1056 (1979a) 10.1002/app.1979.070230410Search in Google Scholar
Zoller, P., “Pressure-Volume-Temperature Relationships of Solid and Molten Polypropylene and Poly(butene-1)”, J. Appl. Polym. Sci., 23, 1057–1061 (1979b) 10.1002/app.1979.070230411Search in Google Scholar
Zoller, P., Hoehn, H. H., “Pressure-Volume-Temperature Properties of Blends of Poly(2, 6-dimethyl-1,4-phenylene ether) with Polystyrene”, J. Polym. Sci. Part B, 20, 1385–1397 (1982)Search in Google Scholar
© 2014, Carl Hanser Verlag, Munich
Articles in the same Issue
- Contents
- Contents
- Invited Papers
- Simha-Somcynsky Equation of State Modeling of the PVT Behavior of PP/Clay-Nanocomposite/CO2 Mixtures
- Regular Contributed Articles
- Effect of Pre-Molding Process and Additive of Injection Molded Wood/PP Composites
- Flame Retarded PE with MH/ATH/Microencapsulated Red Phosphorous and its Toughening by Polymeric Compatibilizers
- The Porous Structure and Mechanical Properties of Injection Molded HA/PA66 Scaffolds
- A Gas-Sensor-Based Measurement Setup for Inline Quality and Process Control in Polymer Extrusion
- Extrusion and Characterization of Soy Protein Film Incorporated with Soy Cellulose Microfibers
- Development of Composites of Highly Filled Phenol Formaldehyde Resin – Coconut (Cocos nucifera) Endocarp Particles
- Structural Analysis Examining the Mold Deformation Behavior for the Detection of the Flash in the Injection Mold
- Epoxidized Esters of Palm Kernel Oil as an Effective Plasticizer for PVC: A Study of Mechanical Properties and Effect of Processing Conditions
- Injection Molding of Beverage Container Caps Made of a Composite Consisting of Wood Cellulose Fiber and an Ethylene-Acrylic Acid Copolymer
- Study on Pumping Conveying Capacity Characteristics of Polymer Solids in Vane Extruder
- Morphology Control and Stabilization in Immiscible Polypropylene and Polyamide 6 Blends with Organoclay
- Optimization of Abrasive Water Jet Turning Parameters for Machining of Low Density Polyethylene Material Based on Experimental Design Method
- PPS News
- PPS News
- Seikei Kakou Abstracts
- Seikei Kakou Abstracts
Articles in the same Issue
- Contents
- Contents
- Invited Papers
- Simha-Somcynsky Equation of State Modeling of the PVT Behavior of PP/Clay-Nanocomposite/CO2 Mixtures
- Regular Contributed Articles
- Effect of Pre-Molding Process and Additive of Injection Molded Wood/PP Composites
- Flame Retarded PE with MH/ATH/Microencapsulated Red Phosphorous and its Toughening by Polymeric Compatibilizers
- The Porous Structure and Mechanical Properties of Injection Molded HA/PA66 Scaffolds
- A Gas-Sensor-Based Measurement Setup for Inline Quality and Process Control in Polymer Extrusion
- Extrusion and Characterization of Soy Protein Film Incorporated with Soy Cellulose Microfibers
- Development of Composites of Highly Filled Phenol Formaldehyde Resin – Coconut (Cocos nucifera) Endocarp Particles
- Structural Analysis Examining the Mold Deformation Behavior for the Detection of the Flash in the Injection Mold
- Epoxidized Esters of Palm Kernel Oil as an Effective Plasticizer for PVC: A Study of Mechanical Properties and Effect of Processing Conditions
- Injection Molding of Beverage Container Caps Made of a Composite Consisting of Wood Cellulose Fiber and an Ethylene-Acrylic Acid Copolymer
- Study on Pumping Conveying Capacity Characteristics of Polymer Solids in Vane Extruder
- Morphology Control and Stabilization in Immiscible Polypropylene and Polyamide 6 Blends with Organoclay
- Optimization of Abrasive Water Jet Turning Parameters for Machining of Low Density Polyethylene Material Based on Experimental Design Method
- PPS News
- PPS News
- Seikei Kakou Abstracts
- Seikei Kakou Abstracts