Design and Optimization of Online Dynamic Mixer and Its Performance Analysis

Document Type : Regular Article

Authors

1 Tianjin Key Laboratory of Integrated Design and On-line Monitoring for Light Industry & Food Machinery and Equipment, Tianjin International Joint Research and Development Center of Low-carbon Green Process Equipment, College of Mechanical Engineering, Tianjin University of Science and Technology, Hexi District, Tianjin,300202, P.R. China

2 Tianjin DTH Machinery Equipment Co., Binhai New District, Tianjin, 300480, P.R. China

Abstract

In this study, a dynamic mixer was designed to mix polymer melts online during extrusion, and the flow of a polymer melt in a mixer was simulated using Polyflow software. The Orthogonal experiment was conducted to analyze the effects of three geometrical parameters (i.e. the length of entrance zone (Li), the gap between the rotor and wall (g), and the diameter of cone-shaped rotor (d2)) on mixing properties of a dynamic mixer. The Li, g, and d2 were optimized for the minimum product of segregation scale (S) and power consumption (P). Finally, the mixing properties of the dynamic mixer were compared with those of SK and SX static mixers. The results indicated that among the above-mentioned three parameters, the g was the most important parameter influencing S, and SP. The minimum SP of 1059 µm·W was obtained when the Li was 16 mm, the g was 1 mm, and the d2 was 24 mm. The S decreased with the increase of the rotation speed from 120 to 360 r/min, and increased with the increase of the flow rate from 15 to 45 mL/min. However, the P increased with the increase of both the rotation speed and flow rate. The maximum shear rate of the melt in the dynamic mixer was observed in the mixing zone, which was mainly affected by the rotation speed rather than the flow rate. To achieve the S of the same size, the length of the dynamic mixer was the shortest, and that of the SK static mixer was the longest. Moreover, to acquire the S of the same size, the dynamic mixer required the largest P, the SX static mixer needed a smaller P, and the SK static mixer required the minimum P.

Keywords

Main Subjects


Ansys (2019). POLYFLOW 19.1 User's Guide.##
Bauer, H., & Khinast, J. (2022). Detecting mixing barriers in twin screw extruder elements via lagrangian coherent structures. Chemical Engineering Science, 263, 1-13. https://doi.org/10.1016/j.ces.2022.118069##
Cai, R. H., Hou, Z. C., & Zhao, Y. Z. (2019). Numerical study on particle mixing in a double-screw conical mixer. Powder Technology, 352, 193-208. https://doi.org/10.1016/j.powtec.2019.04.065##
Carcia, B. E., Zacarias, A., Ferrer, V. H., & Vargas, R. O. (2018). Numerical simulation of the Non-isothermal co-extrusion fiber spinning with  flow-induced crystallization. Journal of Applied  Fluid Mechanics, 11(5), 1207-1215. https://doi.org/10.18869/acadpub.jafm.73.248.28323##
Carolina, C. M., Maria, D., Mohanadmandi, S., Carlos, F., Enda, J., Christian, M., Suanshine, H., Norma, A., Ali, A., & Ivonne, G. (2020). Using chaotic advection for facile high-throughput fabrication of ordered multilayer micro- and nanostructures: continuous chaotic printing. Biofabrication, 12(3), 035023. https://doi.org/10.1088/1758-5090/ab84cc##
Chen, D. X. (2016). Handbook of mechanical design (Fifth Edition). The book.##
Chen, H., Guo, M., Schiraldi, D., & Maia, J. M. (2021). Morphology optimization of poly (ethylene terephthalate)/polyamide blends compatibilized via extension-dominated twin-screw extrusion. Journal of Polymer Engineering, 41(3), 218-225. https://doi.org/10.1515/polyeng-2020-0229##
Common, A., Rodier, E., Sauceau, M., & Fages, J. (2014). Flow and mixing efficiency characterization in a CO2-assisted single-screw extrusion process by residence time distribution using raman spectroscopy. Chemical Engineering Research and Design, 92(7), 1210-1218. https://doi.org/10.1016/j.cherd.2013.10.013##
Connelly, R. K., & Kokini, J. L. (2007). Examination of the mixing ability of single and twin screw mixers using 2D finite element method simulation with particle tracking. Journal of Food Engineering, 79(3), 956–969. https://doi.org/10.1016/j.jfoodeng.2006.03.017##
Eriksson, M., Meuwissen, M., Peijs, T., & Goossens, H. (2020). The Influence of Melt-Mixing Conditions and State of Dispersion on Crystallisation, Rheology and Mechanical Properties of PCL/Sepiolite Nanocomposites. International Polymer Processing, 35(3), 302-313. https://doi.org/10.3139/217.3890##
Haddadi, M. M., Hosseini, S. H., Rashtchian, D., & Olazar, M. (2019). Comparative analysis of different static mixers performance by CFD technique: An innovative mixer. Chinese Journal of Chemical Engineering, 28(3), 672-684. https://doi.org/10.1016/j.cjche.2019.09.004##
Ishikawa, T., Kihara, S. I., & Funatsu, K. (2000). Numerical simulation and experimental verification of nonisothermal flow in counter-rotating nonintermeshing continuous mixers. Polymer Engineering and Science, 40(2), 365-375. https://doi.org/10.1002/pen.11170##
Jian, R. R., Yang, W. M., Cheng, L. S., & Xie, P. C. (2018). Numerical simulation on the enhanced mixing of polymer melt by single screw with torsion elements in the homogenizing section. Polymer-Korea, 42(6), 910-918. https://doi.org/10.7317/pk.2018.42.6.910##
Kowalski, A. J. (2009). An expression for the power consumption of in-line rotor-stator devices.
Chemical Engineering and Processing:
Process Intensification
, 48(1), 581–585. https://doi.org/10.1016/j.cep.2008.04.002##
Lin, C. M., & Chang, Y. W. (2021). Optimization designation of static mixer geometry considering mixing effect. Microsystem Technologies-micro-and Nanosystems-information Storage and Processing Systems, 27(3), 883-892. https://doi.org/10.1007/s00542-020-04962-y##
Liu, J., & Zhu, X. Z. (2019). Chaotic mixing analysis of a novel single-screw extruder with a perturbation baffle by the finite-time Lyapunov exponent method. Journal of Polymer Engineering, 39(3), 287-299. https://doi.org/10.1515/polyeng-2018-0037##
Minitab (2021). Minitab Statistical Software.##
Meng, H. B., Wang, F., Yu, Y., Song, M., & Wu, J. (2014). A Numerical Study of Mixing Performance of High-Viscosity Fluid in Novel Static Mixers with Multitwisted Leaves. Industrial & Engineering Chemistry Research, 53(10), 4084–4095. https://doi.org/10.1021/ie402970v##
Meng, H. B., Jiang, X. H., & Yu, Y. F. (2017). Laminar flow and chaotic advection mixing performance in a static mixer with perforated helical segments. Korean Journal of Chemical Engineering, 34(5), 1328-1336. https://doi.org/10.1007/s11814-017-0035-z##
Meng, H. B., Han, M. Q., & Yu, Y. F. (2020). Numerical evaluations on the characteristics of turbulent flow and heat transfer in the Lightnin static mixer. International Journal of Heat and Mass Transfer, 156, 119788. https://doi.org/10.1016/j.ijheatmasstransfer.2020.119788##
Migliozzi, S., Mazzei, L., & Angeli, P. (2021). Viscoelastic flow instabilities in static mixers: Onset and effect on the mixing efficiency. Physics of Fluids, 33(1), 013104. https://doi.org/10.1063/5.0038602##
Marschik, C., Osswald, T. A., Roland, W., Albrecht, H., Skrabala, O., & Miethlinger, J.  (2019). Numerical analysis of mixing in block-head mixing screws. Polymer Engineering and Science, 59, E88-E104. https://doi.org/10.1002/pen.24968##
Proinov, P. D. (2010). New general convergence theory for iterative processes and its applications to Newton–Kantorovich type theorems. Journal of Complexity, 26(1), 3–42. https://doi.org/10.1016/j.jco.2009.05.001##
Rathod, M. L., & Kokini, J. L. (2013). Effect of mixer geometry and operating conditions on mixing efficiency of a non-Newtonian fluid in a twin screw mixer. Journal of Food Engineering, 118(3), 256–265. https://doi.org/10.1016/j.jfoodeng.2013.04.020##
Robinson, M., & Cleary, P. W. (2019). Effect of geometry and fill level on the transport and mixing behaviour of a co-rotating twin screw extruder. Computational Particle Mechanics, 6(2), 227-247. https://doi.org/10.1007/s40571-018-0210-y##
Rochman, A., & Zahra, K. (2018). Development and performance analysis of static mixing nozzle for injection molding of thermoset elastomers. Polymer Engineering and Science, 58(4), 521-527. https://doi.org/10.1002/pen.24763##
Talhaoui, A., Draoui, B., & Youcefi, A. (2021). Effect of geometry design on mixing performance of newtonian fluid using helical overlapped mixer elements in kenics static mixer. Journal of Applied Fluid Mechanics, 14 (6), 1643-1656. https://doi.org/10.47176/jafm.14.06.32494##
Varga, A., Keppler, I., & Fenyvesi, L. (2020). Determination the efficiency of open mixing screws. Journal of Mechanical Science and Technology, 34(6), 2327-2332. https://doi.org/10.1007/s12206-020-0508-6##
Xu, B. P., Liu, Y., He, L., Chen, J. W., & Turng, L. S. (2018). Numerical study of mixing dynamics inside the novel elements of a corotating nontwin screw extruder. Advances in Polymer Technology, 37(7), 2478-2496. https://doi.org/10.1002/adv.21923##
Xu, S., Shi, J., Cheng, Q., Li, W., & Zhang, J. (2013). Residence time distributions of in-line high shear mixers with ultrafine teeth. Chemical Engineering Science, 87, 111–121. https://doi.org/10.1016/j.ces.2012.10.017##
Zhuang, Z. K., Yan, J. T., & Sun, C. L. (2020). The numerical simulation of a new double swirl static mixer for gas reactants mixing. Chinese Journal of Chemical Engineering, 28(9), 2438-2446. https://doi.org/10.1016/j.cjche.2020.05.008##