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Three-Dimensional, Non-Isothermal Simulations of the Effect of Speed Ratio in Partially-Filled Rubber Mixing

  • H. Poudyal , I. Ahmed and A. J. Chandy
Published/Copyright: April 18, 2019
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Abstract

Three-dimensional, transient, non-isothermal calculations have been carried out using a commercial computational fluid dynamics (CFD) software in a two-wing rotor-equipped chamber partially-filled (75% fill factor) with rubber, to analyze the mixing efficiency for three different rotor speed ratios of 1, 1.125 and 1.5. The moving mesh technique has been used to incorporate the motion of the rotors. The Eulerian based volume of fluid (VOF) method has been used to track the interface between the two fluids, which are rubber and air. To assign the highly viscous and non-Newtonian properties of rubber, the Carreau-Yasuda model along with an exact Arrhenius formulation that accounts for the shear and temperature dependent viscosity, has been used here. Governing equations including the continuity, momentum and energy equations have been solved to characterize the flow field and various mixing parameters. Eulerian-based fields such as velocity magnitude, viscous heat generation, and average temperature and viscosity are compared between cases with different speed ratios. Dispersive and distributive mixing behaviour are assessed through a Lagrangian approach that tracks the paths of a set of massless particles. Statistical quantities such as cumulative distribution of maximum shear stress, cluster distribution index, and axial and inter-chamber particle transfer rates are calculated and presented as well. Results showed that the speed ratio of 1.5 displayed the best dispersive and distributive mixing characteristics in comparison to the other cases.


*Correspondence address, Mail address: Abhilash J. Chandy, Department of Mechanical Engineering, Indian Institute of Technology Bombay, Mumbai, Maharashtra, 400076, India, E-mail:

References

Alsteens, B., Avalosse, T., Legat, V., Marchal, T. and Slachmuylders, E., “Effect of the Full-Slip Condition along Rotors on the Mixing Efficiency of Internal Mixers”, SPE ANTEC Tech. Papers, 173177 (2003)Search in Google Scholar

Aral, B. K., Kalyon, D. M., “Effects of Temperature and Surface Roughness on Time-Dependent Development of Wall Slip in Steady Torsional Flow of Concentrated Suspensions”, J. Rheol., 38, 957972 (1994) 10.1122/1.550537Search in Google Scholar

Aral, B. K., Kalyon, D. M., “Rheology and Extrudability of Very Concentrated Suspensions: Effects of Vacuum Imposition”, Plast. Rubber Compos. Process. Appl., 24, 201210 (1995)Search in Google Scholar

Avalosse, T., Rubin, Y., “Analysis of Mixing in Corotating Twin Screw Extruders through Numerical Simulation”, Int. Polym. Proc., 15, 117123 (2000) 10.3139/217.1586Search in Google Scholar

Avalosse, T., Rubin, Y. and Fondin, L., “Non-Isothermal Modeling of Co-Rotating and Contra-Rotating Twin Screw Extruders”, J. Reinf. Plast. Compos., 21, 419429 (2002) 10.1177/0731684402021005442Search in Google Scholar

Bai, Y., Sundararaj, U. and Nandakumar, K., “Nonisothermal Modeling of Heat Transfer Inside an Internal Batch Mixer”, AIChE J., 57, 26572669 (2011) 10.1002/aic.12484Search in Google Scholar

Cheng, H., Manas-Zloczower, I., “Distributive Mixing in Conveying Elements of a ZSK-53 Corotating Twin Screw Extruder”, Polym. Eng. Sci., 38, 926935 (1998) 10.1002/pen.10260Search in Google Scholar

Cheng, J. J., “Flow Simulations in a Banbury Mixer”, PhD Thesis Case Western Reserve University, Cleveland, Ohio, USA (1990)Search in Google Scholar

Cheng, J. J., Manas-Zloczower, I., “Hydrodynamic Analysis of A Banbury Mixer 2-D Flow Simulations for the Entire Mixing Chamber”, Polym. Eng. Sci., 29, 10591065 (1989) 10.1002/pen.760291102Search in Google Scholar

Cheng, J. J., Manas-Zloczower, I., “Flow Field Characterization in a Banbury Mixer”, Int. Polym. Proc., 5, 178183 (1990) 10.3139/217.900178Search in Google Scholar

Clark, J.: Basic Rates, https://www.chemguide.co.uk/physical/basicrates/arrhenius.html (2018)Search in Google Scholar

Connelly, R. K., Kokini, J. L., “The Effect of Shear Thinning and Differential Viscoelasticity on Mixing in a Model 2D Mixer as Determined Using FEM with Particle Tracking”, J. Non-Newtonian Fluid Mech., 123, 117 (2004) 10.1016/j.jnnfm.2004.03.006Search in Google Scholar

Connelly, R. K., Kokini, J. L., “Examination of the Mixing Ability of Single and Twin Screw Mixers Using 2D Finite Element Method Simulation with Particle Tracking”, J. Food Eng., 79, 956969 (2007) 10.1016/j.jfoodeng.2006.03.017Search in Google Scholar

Das, S. R., Dhakal, P., Poudyal, H. and Chandy, A. J., “Assessment of the Effect of Speed Ratios in Numerical Simulations of Highly Viscous Rubber Mixing in a Partially Filled Chamber”, Rubber Chem. Technol., 89, 371391 (2016) 10.5254/rct.16.83778Search in Google Scholar

Das, S. R., Poudyal, H. and Chandy, A. J., “Numerical Investigation of Effect of Rotor Phase Angle in Partially-Filled Rubber Mixing”, Int. Polym. Proc., 32, 343354 (2017) 10.3139/217.3346Search in Google Scholar

Davis, B., Gramman, P., Matzig, J. and Osswald, T., “Simulating Flow and Heat Transfer in Polymer Processing Using BEM/DRM”, WIT Transactions on Modelling and Simulation, 3, 4756 (1993)Search in Google Scholar

Dhakal, P., Das, S. R. and Chandy, A. J., “Investigation of Fill Factor in Two-Wing Rotor Mixing of Rubber by Using Computational Fluid Dynamics”, Tire Sci. Technol., 45, 144160 (2017a) 10.2346/tire.17.450204Search in Google Scholar

Dhakal, P., Das, S. R., Poudyal, H. and Chandy, A. J., “Numerical Simulations of Partially-Filled Rubber Mixing in A 2-Wing Rotor-Equipped Chamber”, J. Appl. Polym. Sci., 134, 44250(9) (2017b)10.1002/app.44250Search in Google Scholar

Dhanasekharan, K. M., Kokini, J. L., “Design and Scaling of Wheat Dough Extrusion by Numerical Simulation of Flow and Heat Transfer”, J. Food Eng., 60, 421430 (2003) 10.1016/S0260-8774(03)00065-7Search in Google Scholar

Dietsche, L. J., Neubauer, A. C., “Computational Fluid Dynamics Model of Viscous Droplet Breakup”, Chem. Eng. Sci., 64, 45434552 (2009) 10.1016/j.ces.2009.06.046Search in Google Scholar

Emin, M., Schuchmann, H., “Analysis of the Dispersive Mixing Efficiency in a Twin-Screw Extrusion Processing of Starch Based Matrix”, J. Food Eng., 79, 956969 (2012)Search in Google Scholar

Erol, M., Kalyon, D. M., “Assessment of the Degree of Mixedness of Filled Polymers”, Int. Polym. Proc., 20, 228237 (2005) 10.3139/217.1882Search in Google Scholar

Ess, J. W., “Characterization of Dispersive and Distributive Mixing in a Co-Rotating Twin-Screw Compounding Extruder”, Phd Thesis Brunel University School of Engineering and Design, London, UK (1989)Search in Google Scholar

Feger, C., Gelorme, J. D., Mcglashan-Powell, M. and Kalyon, D. M., “Mixing, Rheology, and Stability of Highly Filled Thermal Pastes”, IBM J. Res. Dev., 49, 699707 (2005) 10.1147/rd.494.0699Search in Google Scholar

Fukutani, K., Higashi, K., Yamada, S. and Yamane, Y., “Numerical Study on Distributive Mixing Characteristics in a Partially Filled Internal Mixer”, 184th Technical Meeting of Rubber Division, ACS 71, American Chemical Society, Cleveland, Ohio, USA, Goodyear, Private Communication (2015)Search in Google Scholar

Ji, Z., Gotsis, A. D. and Kalyon, D. M., “Single Screw Extrusion Processing of Highly Filled Suspensions Including Wall Slip”, SPE ANTEC Tech. Papers, 36, 160163 (1990)Search in Google Scholar

Kalyon, D. M., “Apparent Slip and Viscoplasticity of Concentrated Suspensions”, J. Rheol., 49, 621640 (2005) 10.1122/1.1879043Search in Google Scholar

Kalyon, D. M., “An Analytical Model for Steady Coextrusion of Viscoplastic Fluids in Thin Slit Dies with Wall Slip”, Polym. Eng. Sci., 50, 652664 (2010) 10.1002/pen.21580Search in Google Scholar

Kalyon, D. M., Dalwadi, D., Erol, M., Birinci, E. and Tsenoglu, C., “Rheological Behavior of Concentrated Suspensions as Affected by the Dynamics of the Mixing Process”, Rheol. Acta, 45, 641658 (2006) 10.1007/s00397-005-0022-xSearch in Google Scholar

Kalyon, D. M., Gokturk, H., Yaras, P. and Aral, B., “Motion Analysis of Development of Wall Slip during the Die Flow of Concentrated Suspensions”, Annu. Tech. Conf.-Soc. Plast. Eng., 41, 11301134 (1995)Search in Google Scholar

Kalyon, D. M., Lawal, A., Yazici, R., Yaras, P. and Railkar, S., “Mathematical Modeling and Experimental Studies of Twin Screw Extrusion of Filled Polymers”, Polym. Eng. Sci., 39, 11391151 (1999) 10.1002/pen.11501Search in Google Scholar

Kalyon, D. M., Malik, M., “An Integrated Approach for Numerical Analysis of Coupled Flow and Heat Transfer in Co-Rotating Twin Screw Extruders”, Int. Polym. Proc., 22, 293302 (2007) 10.3139/217.1020Search in Google Scholar

Kalyon, D. M., Malik, M., “Axial Laminar Flow of Viscoplastic Fluids in a Concentric Annulus Subject to Wall Slip”, Rheol. Acta, 51, 805820 (2012) 10.1007/s00397-012-0641-ySearch in Google Scholar

Lawal, A., Kalyon, D. M., “Mechanisms of Mixing in Single and Co-Rotating Twin Screw Extruders”, Polym. Eng. Sci., 35, 13251338 (1995a) 10.1002/pen.760351702Search in Google Scholar

Lawal, A., Kalyon, D. M., “Simulation of Intensity of Segregation Distributions Using Threedimensional FEM Analysis: Application to Corotating Twin Screw Extrusion Processing”, J. Appl. Polym. Sci., 58, 15011507 (1995b) 10.1002/app.1995.070580912Search in Google Scholar

Lawal, A., Kalyon, D. M., “Analysis of Nonisothermal Screw Extrusion Processing of Viscoplastic Fluids with Significant Back Flow”, Chem. Eng. Sci., 54, 9991013 (1999) 10.1016/S0009-2509(98)00446-1Search in Google Scholar

Lawal, A., Kalyon, D. M. and Ji, Z., “Computational Study of Chaotic Mixing in Co-Rotating Two-Tipped Kneading Paddles: Two-Dimensional Approach”, Polym. Eng. Sci., 33, 140148 (1995) 10.1002/pen.760330304Search in Google Scholar

Liu, J., Li, F., Zhang, L. and Yang, H., “Numerical Simulation of Flow of Rubber Compounds in Partially Filled Internal Mixer”, J. Appl. Polym. Sci., 132, 42496(8) (2015)10.1002/app.42496Search in Google Scholar

Lu, G., Kalyon, D. M., Yilgör, I. and Yilgör, E., “Rheology and Processing of BaSO4-Filled Medical Grade Thermoplastic Polyurethane”, Polym. Eng. Sci., 44, 19411948 (2004) 10.1002/pen.20197Search in Google Scholar

Malik, M., Kalyon, D. M., “3D Finite Element Simulation of Processing of Generalized Newtonian Fluids in Counter-Rotating and Tangential Tse and Die Combination”, Int. Polym. Proc., 20, 398409 (2005) 10.3139/217.2013Search in Google Scholar

Malik, M., Kalyon, D. M. and Golba, J. C., “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”, Int. Polym. Proc., 29, 5162 (2014) 10.3139/217.2802Search in Google Scholar

Manas-Zloczower, I.: Mixing and Compounding of Polymers: Theory and Practice. Hanser Publishers, Munich (2012)Search in Google Scholar

Mars, W., Fatemi, A., “Factors that Affect the Fatigue Life of Rubber: A Literature Survey”, Rubber Chem. Technol., 77, 391412 (2004) 10.5254/1.3547831Search in Google Scholar

Mckelvey, J. M.: Polymer Processing. John Wiley & Sons, New York (1962)Search in Google Scholar

Medina-Bañuelos, E. F., Maín-Santibáñez, B. M., Pérez-González, J., Malik, M. and Kalyon, D. M., “Tangential Annular (Couette) Flow of a Viscoplastic Microgel with Wall Slip”, J. Rheol., 61, 10071022 (2017) 10.1122/1.4998177Search in Google Scholar

Nassehi, V., Ghoreishy, M. H. R., “Modeling of Mixing in Internal Mixers with Long Blade Tips”, Adv. Polym. Technol., 20, 132145 (2001) 10.1002/adv.1011Search in Google Scholar

Ortega-Avila, J. F., Pérez-González, J., Marín-Santibáñez, B. M., Rodrguez-González, F., Aktas, S., Malik, M. and Kalyon, D. M., “Axial Annular Flow of a Viscoplastic Microgel with Wall Slip”, J. Rheol., 60, 503515 (2016) 10.1122/1.4945820Search in Google Scholar

Peric, M., Ferguson, S., “The Advantage of Polyhedral Meshes”, CD-Adapco; http://www.cd-adapco.com/pressroom/dynamics/24/testvspoly.html (2005)Search in Google Scholar

Rathod, M. L., Kokini, J. L., “Effect of Mixer Geometry and Operating Conditions on Mixing Efficiency of a Non-Newtonian Fluid in a Twin Screw Mixer”, J. Food Eng., 118, 256265 (2013) 10.1016/j.jfoodeng.2013.04.020Search in Google Scholar

Rauwendaal, C.: Mixing in Polymer Processing. CRC Press, Boca Raton, FL, USA (1991)Search in Google Scholar

Salahudeen, S. A., Elleithy, R. H., Alothman, O. and Alzahrani, S., “Comparative Study of Internal Batch Mixer such as CAM, Banbury and Roller: Numerical Simulation and Experimental Verification”, Chem. Eng. Sci., 66, 25022511 (2011) 10.1016/j.ces.2011.02.017Search in Google Scholar

Tadmor, Z., Gogos, C. G.: Principles of Polymer Processing. John Wiley & Sons, New York (2006)Search in Google Scholar

Takeshi, I., Shin-Ichi, K. and Kazumori, F., “3D Non-Isothermal Flow Field Analysis and Mixing Performance Evaluation of Kneading Blocks in a Co-Rotating Twin Screw Extruder”, Polym. Eng. Sci., 41, 840849 (2001) 10.1002/pen.10781Search in Google Scholar

Takeshi, I., Shin-Ichi, K., Kazumori, F., Teruo, A. and Kazunori, Y., “Numerical Simulation and Experimental Verification of Nonisothermal Flow in Counter-Rotating Nonintermeshing Continuous Mixers”, Polym. Eng. Sci., 40, 365375 (2000) 10.1002/pen.11170Search in Google Scholar

Takeshi, I., Tarou, A., Shin-Ichi, K. and Kazumori, F., “Flow Patterns and Mixing Mechanisms in the Screw Mixing Element of a Co-Rotating Twin Screw Extruder”, Polym. Eng. Sci., 42, 925939 (2002) 10.1002/pen.11002Search in Google Scholar

Tang, H. S., Kalyon, D. M., “Time-Dependent Tube Flow of Compressible Suspensions Subject to Pressure Dependent Wall Slip: Ramifications on Development of Flow Instabilities”, J. Rheol., 52, 10691090 (2008a) 10.1122/1.2837104Search in Google Scholar

Tang, H. S., Kalyon, D. M., “Unsteady Circular Tube Flow of Compressible Polymeric Liquids Subject to Pressure-Dependent Wall Slip”, J. Rheol., 52, 507525 (2008b) 10.1122/1.2837104Search in Google Scholar

Vingaard, M., Endelt, B. and Declaville Christiansen, J., “Implementation of a Material Model with Shear Rate and Temperature Dependent Viscosity”. European LS-DYNA Users’ Conference, Gothenburg, Sweden (2007)Search in Google Scholar

Vyakaranam, K. V., Kokini, J. L., “Prediction of Air Bubble Dispersion in a Viscous Fluid in a Twin Screw Continuous Mixer Using FEM Simulations of Dispersive Mixing”, Chem. Eng. Sci., 84, 303314 (2012) 10.1016/j.ces.2012.07.014Search in Google Scholar

Wang, W., Manas-Zloczower, I., “Dispersive and Distributive Mixing Characterization in Extrusion Equipment”, SPE ANTEC Tech. Papers, 6–10 (2001)Search in Google Scholar

Yang, H.-H., Manas-Zloczower, I., “Analysis of Mixing Performance in a Vic Mixer”, Int. Polym. Proc., 9, 291302 (1994) 10.3139/217.940291Search in Google Scholar

Received: 2018-02-21
Accepted: 2018-06-24
Published Online: 2019-04-18
Published in Print: 2019-04-29

© 2019, Carl Hanser Verlag, Munich

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