Modeling of the Torque Requirements for the Mixing and Dispersion of Silica into Rubber
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Abstract
A model for the evolution of torque requirements in the batch mixing of silica agglomerates in styrene-butadiene rubber has been developed. The analysis considers the rheology of suspensions as modeled by the Krieger-Dougherty equation but with modifications so that it can apply to a wider range of solids loading, and combines that with a separate model that expresses the kinetics of the dispersion of silica agglomerates. The model shows good agreement with the trends of experimental data, and thus can be used to make predictions about torque requirements for compounding commercial grades of silica into rubber, as related to dispersion, under practical mixing conditions.
References
Batchelor, G. K., “The Effect of Brownian Motion on the Bulk Stress in a Suspension of Spherical Particles”, J. Fluid Mech., 83, 97–117 (1977) DOI: http://dx.doi.org/10.1017/S0022112077001062Search in Google Scholar
Bicerano, J., Douglas, J. F. and Brune, D. A., “Model for the Viscosity of Particle Dispersions”, Rev. Macromol. Chem. Phys., C39, 561–642 (1999) DOI: http://dx.doi.org/10.1081/MC-100101428Search in Google Scholar
Bohin, F., Feke, D. L. and Manas-Zloczower, I., “Analysis of Power Requirements and Dispersion Quality in Batch Compounding Using a Dispersion Model for Single Agglomerates”, Rubber Chem. Technol., 69, 1–7 (1996) DOI: http://dx.doi.org/10.5254/1.3538355Search in Google Scholar
Bohin, F., Manas-Zloczower, I. and Feke, D. L., “Kinetics of Dispersion for Sparse Agglomerates in Simple Shear Flows: Application to Silica Agglomerates in Silicone Polymer”, Chem. Eng. Sci., 51, 5193–5204 (1996b) DOI: http://dx.doi.org/10.1016/S0009-2509(96)00338-7Search in Google Scholar
Coran, A. Y., Donnet, J.-B., “The Dispersion of Carbon Black in Rubber Part I. Rapid Method for Assessing Quality of Dispersion”, Rubber Chem. Technol., 65, 973–997 (1992) DOI: http://dx.doi.org/10.5254/1.3538655Search in Google Scholar
Cotton, G. R., “Mixing of Carbon Black with Rubber I. Measurement of Dispersion Rate by Changes in Mixing Torque”, Rubber Chem. Technol., 57, 118–133 (1984) DOI: http://dx.doi.org/10.5254/1.3535988Search in Google Scholar
de Kruif, C. G., Van Iersel, E. M. F. and Vrij, A., “Hard Sphere Colloidal Dispersions: Viscosity as a Function of Shear Rate and Volume Fraction”, J. Chem. Phys., 83, 4717–4725 (1985) DOI: http://dx.doi.org/10.1063/1.448997Search in Google Scholar
Einstein, A., “Eine neue Bestimmung der Moleküldimensionen”, Ann. Physik, 324, 289–306 (1906) DOI: http://dx.doi.org/10.1002/andp.19063240204Search in Google Scholar
Feke, D. L., “Chapter 18 Shear-Induced Dispersion of Particle Agglomerates”, in Granulation, Salman A. D. et al. (Eds.), Elsevier, Amsterdam, p. 815–852 (2007) DOI: http://dx.doi.org/10.1016/S0167-3785(07)80053-4Search in Google Scholar
Guth, E., Gold, O., “On the Hydrodynamical Theory of the Viscosity of Suspensions”, Phy. Rev., 53, 322–322 (1938)Search in Google Scholar
Hashim, A. S., Azahari, B., Ikeda, Y. and Kohjiya, S., “The Effect of Bis(3-triethoxysilylpropyl)tetrasulfide on Silica Reinforcement of Styrene-butadiene Rubber”, Rubber Chem. Technol., 71, 289–299 (1998) DOI: http://dx.doi.org/10.5254/1.3538485Search in Google Scholar
Krieger, I. M., Dougherty, T. J., “A Mechanism for Non-Newtonian Flow in Suspensions of Rigid Spheres”, Trans. Soc. Rheol., 3, 137–152 (1959) DOI: http://dx.doi.org/10.1122/1.548848Search in Google Scholar
Krieger, I. M., “Rheology of Monodisperse Latices”, Adv. Colloid Interface Sci., 3, 111–136 (1972) DOI: http://dx.doi.org/10.1016/0001-8686(72)80001-0Search in Google Scholar
Lin, C. J., Hergenrother, W. L., Alexanian, E. and Böhm, G. G. A., “On the Filler Flocculation in Silica-Filled Rubbers Part I. Quantifying and Tracking the Filler Flocculation and Polymer-Filler Interactions in the Unvulcanized Rubber Compounds”, Rubber Chem. Technol., 75, 865–890 (2002) DOI: http://dx.doi.org/10.5254/1.3547689Search in Google Scholar
Manas-Zloczower, I., Tadmor, Z., “Chapter 1 Basic Concepts”, in Mixing and Compounding of Polymers: Theory and Practice, 2nd Edition, Manas-Zloczower, I. (Ed.), Hanser, Munich, p. 3–4 (2009)10.3139/9783446433717.001Search in Google Scholar
Quemada, D., “Rheology of Concentrated Disperse Systems and Minimum Energy-Dissipation Principle .1. Viscosity-Concentration Relationship”, Rheol. Acta, 16, 82–94 (1977) DOI: http://dx.doi.org/10.1007/BF01516932Search in Google Scholar
Rauline, R., EP Patent 0501227A1 (1992)Search in Google Scholar
Rwei, S. R., “Observation and Analysis of Carbon Black Agglomerates Dispersion in Simple Shear Flows”, PhD Dissertation, Case Western Reserve University, Cleveland, OH (1991)10.3139/217.910098Search in Google Scholar
ScuratiA., Manas-Zloczower, I. and Feke, D. L., “Influence of Powder Surface Treatment on the Dispersion Behavior of Silica into Polymeric Materials”, Rubber Chem. Technol., 75, 725–737 (2002) DOI: http://dx.doi.org/10.5254/1.3544998Search in Google Scholar
ten Brinke, J. W., Debnath, S. C., Reuvekamp, L. A. E. M. and Noordermeer, J. W. M., “Mechanistic Aspects of the Role of Coupling Agents in Silica-Rubber Composites”, Compos. Sci. Technol., 63, 1165–1174 (2003) DOI: http://dx.doi.org/10.1016/S0266-3538(03)00077-0Search in Google Scholar
Wang, M. J., “Effect of Polymer-Filler and Filler-Filler Interactions on Dynamic Properties of Filled Vulcanizates”, Rubber Chem. Technol., 71, 520–589 (1998) DOI: http://dx.doi.org/10.5254/1.3538492Search in Google Scholar
Wolff, S., “Chemical Aspects of Rubber Reinforcement by Fillers”, Rubber Chem. Technol., 69, 325–346 (1996) DOI: http://dx.doi.org/10.5254/1.3538376Search in Google Scholar
© 2014, Carl Hanser Verlag, Munich
Articles in the same Issue
- Contents
- Contents
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- The Effect of Molecular Parameters on the Thermal Behavior of Recycled and Virgin Polyamides and Their Glass Fiber Composites
- Carbon Nanotube Conductive Networks through the Double Percolation Concept in Polymer Systems
- Application of the Experimental Results to the Modified Halpin-Tsai Micromechanical Model to Evaluate the Clay Dispersion in Clay-Reinforced Polyethylene Nanocomposites
- Influence of Solvent Washing and Soxhlet Extraction on the Thermal Stability of Organically Modified Layered Silicates
- Effect of Screw Rotation Speed on the Properties of Polycarbonate/Vapor-Grown Carbon Fiber Composites Prepared by Melt Compounding
- Simulation of Co-Rotating Twin Screw Extrusion Process Subject to Pressure-Dependent Wall Slip at Barrel and Screw Surfaces: 3D FEM Analysis for Combinations of Forward- and Reverse-Conveying Screw Elements
- Preparation of Polymer-Clay Nanocomposites by Melt Mixing in a Twin Screw Extruder: Using On-Line SAOS Rheometry to Assess the Level of Dispersion
- Residence Time Distribution in a High Shear Twin Screw Extruder
- PVDF/Carbonnanotubes/Nanoclay Composites for Piezoelectric Applications
- Viscoelastic and Electrical Properties of Carbon Nanotubes Filled Poly(butylene succinate)
- Sealability and Seal Characteristics of PE/EVA and PLA/PCL Blends
- Effects of Polymer Viscosity and Nanofillers on Morphology of Nanofibers Obtained by a Gas Jet Method
- Modeling of the Torque Requirements for the Mixing and Dispersion of Silica into Rubber
- High Shear Processing of (PP/EPR)/Silica Nanocomposites: Improvement of Morphology and Properties
- An Overview of Molten Polymer Drawing Instabilities
- PPS News
- PPS News
- Seikei-Kakou Abstracts
- Seikei-Kakou Abstracts
Articles in the same Issue
- Contents
- Contents
- Invited Articles
- The Effect of Molecular Parameters on the Thermal Behavior of Recycled and Virgin Polyamides and Their Glass Fiber Composites
- Carbon Nanotube Conductive Networks through the Double Percolation Concept in Polymer Systems
- Application of the Experimental Results to the Modified Halpin-Tsai Micromechanical Model to Evaluate the Clay Dispersion in Clay-Reinforced Polyethylene Nanocomposites
- Influence of Solvent Washing and Soxhlet Extraction on the Thermal Stability of Organically Modified Layered Silicates
- Effect of Screw Rotation Speed on the Properties of Polycarbonate/Vapor-Grown Carbon Fiber Composites Prepared by Melt Compounding
- Simulation of Co-Rotating Twin Screw Extrusion Process Subject to Pressure-Dependent Wall Slip at Barrel and Screw Surfaces: 3D FEM Analysis for Combinations of Forward- and Reverse-Conveying Screw Elements
- Preparation of Polymer-Clay Nanocomposites by Melt Mixing in a Twin Screw Extruder: Using On-Line SAOS Rheometry to Assess the Level of Dispersion
- Residence Time Distribution in a High Shear Twin Screw Extruder
- PVDF/Carbonnanotubes/Nanoclay Composites for Piezoelectric Applications
- Viscoelastic and Electrical Properties of Carbon Nanotubes Filled Poly(butylene succinate)
- Sealability and Seal Characteristics of PE/EVA and PLA/PCL Blends
- Effects of Polymer Viscosity and Nanofillers on Morphology of Nanofibers Obtained by a Gas Jet Method
- Modeling of the Torque Requirements for the Mixing and Dispersion of Silica into Rubber
- High Shear Processing of (PP/EPR)/Silica Nanocomposites: Improvement of Morphology and Properties
- An Overview of Molten Polymer Drawing Instabilities
- PPS News
- PPS News
- Seikei-Kakou Abstracts
- Seikei-Kakou Abstracts