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Modeling of the Torque Requirements for the Mixing and Dispersion of Silica into Rubber

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Published/Copyright: March 1, 2014
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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.


* Mail address: Ica Manas-Zloczower, Department of Macromolecular Science and Engineering, Case Western Reserve University, Cleveland, OH 44106, USA E-mail:

References

Batchelor, G. K., “The Effect of Brownian Motion on the Bulk Stress in a Suspension of Spherical Particles”, J. Fluid Mech., 83, 97117 (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, 561642 (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, 17 (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, 51935204 (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, 973997 (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, 118133 (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, 47174725 (1985) DOI: http://dx.doi.org/10.1063/1.448997Search in Google Scholar

Einstein, A., “Eine neue Bestimmung der Moleküldimensionen”, Ann. Physik, 324, 289306 (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. 815852 (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, 322322 (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, 289299 (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, 137152 (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, 111136 (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, 865890 (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. 34 (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, 8294 (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, 725737 (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, 11651174 (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, 520589 (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, 325346 (1996) DOI: http://dx.doi.org/10.5254/1.3538376Search in Google Scholar

Received: 2013-05-20
Accepted: 2013-12-02
Published Online: 2014-03-01
Published in Print: 2014-03-28

© 2014, Carl Hanser Verlag, Munich

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