[1] F. Berzin, A. Tara, L. Tighzert, B. Vergnes, Importance of coupling between specific energy and viscosity in the modeling of twin screw extrusion of starchy products, Polym. Eng. Sci. 50(9) (2010) 1758-1766. [2] K.J. Ganzeveld, L.P.B.M. Janssen, Role of mixing and rheology in reactive extrusion, Ind. Eng. Chem. Res. 33(10) (1994) 2398-2403. [3] K.J. Ganzeveld, L.P.B.M. Janssen, A mixing model for multicomponent reactions in twin screw extruders applied to the polymerization of urethanes, Polym. Eng. Sci. 32(7) (1992) 457-466. [4] A. Suresh, S. Chakraborty, K. Kargupta, S. Ganguly, Low-dimensional models for describing mixing effects in reactive extrusion of polypropylene, Chem. Eng. Sci. 63(14) (2008) 3788-3801. [5] A. Rożeń, R.A. Bakker, J. Bałdyga, Effect of operating parameters and screw geometry on micromixing in a co-rotating twin-screw extruder, Chem. Eng. Res. Des. 79(8) (2001) 938-942. [6] J.M. Ottino, R. Chella, Laminarmixing of polymeric liquids:A brief reviewand recent theoretical developments, Polym. Eng. Sci. 23(7) (1983) 357-379. [7] J.M. Ottino, Lamellar mixing models for structured chemical reactions and their relationship to statistical models:Macro-and micromixing and the problem of averages, Chem. Eng. Sci. 35(6) (1980) 1377-1381. [8] J.M. Ottino, W.E. Ranz, C.W. Macosko, A framework for description of mechanical mixing of fluids, AIChE J 27(4) (1981) 565-577. [9] J.C. Wu, Micromixing of a polymer melt in twin screw extruders with kneading disks(Ph. D. Thesis) University of Delaware, Newark, 1994. [10] J. Bałldyga, A. Rozeń, F.Mostert, Amodel of laminarmicromixing with application to parallel chemical reactions, Chem. Eng. J. 69(1) (1998) 7-20. [11] A. Rożeń, R.A. Bakker, J. Bałdyga, Application of an integral method to modelling of laminar micromixing, Chem. Eng. J. 84(3) (2001) 413-428. [12] P.D. Iedema, K. Remerie, M. van der Ham, E. Biemond, J. Tacx, Controlled peroxideinduced degradation of polypropylene in a twin-screw extruder:Change of molecularweight distribution under conditions controlled bymicromixing, Chem. Eng. Sci. 66(22) (2011) 5474-5486. [13] M.J. Clifford, S.M. Cox, E.P.L. Roberts, Lamellar modelling of reaction, diffusion and mixing in a two-dimensional flow, Chem. Eng. J. 71(1) (1998) 49-56. [14] L.D. Marchisio, A.A. Barresi, CFD simulation of mixing and reaction:The relevance of the micro-mixing model, Chem. Eng. Sci. 58(16) (2003) 3579-3587. [15] X.M. Xu, G.Q. Zhao, S.X. Qin, W. Wang, Numerical simulation of viscoelastic extrudate swell through elliptical ring die, Chin. J. Chem. Eng. 19(1) (2011) 10-17. [16] D. Strutt, C. Tzoganakis, T.A. Duever, Mixing analysis of reactive polymer flow in conveying elements of a co-rotating twin screw extruder, Adv. Polym. Technol. 19(1) (2000) 22-33. [17] E. Ortiz-Rodriguez, C. Tzoganakis, A 3d simulation analysis of reactive flow in screw elements of closely intermeshing twin screw extruders, Int. Polym. Process. 27(4) (2012) 442-451. [18] L.J. Zhu, K.A. Narh, K.S. Hyun, Investigation of mixing mechanisms and energy balance in reactive extrusion using three-dimensional numerical simulation method, Int. J. Heat Mass Transf. 48(16) (2005) 3411-3422. [19] L.J. Zhu, K.A. Narh, K.S. Hyun, Evaluation of numerical simulation methods in reactive extrusion, Adv. Polym. Technol. 24(3) (2005) 183-193. [20] E. Fourcade, H.C.J. Hoefsloot, G. van Vliet,W. Bunge, S.M.P.Mutsers, P.D. Iedema, The influence of micromixing on molecular weight distribution during controlled polypropylene degradation in a static mixer reactor, Chem. Eng. Sci. 56(23) (2001) 6589-6603. [21] D.J. Smit,W.R. Paterson, M.J. Hounslow, Aggregation and gelation-II. Mixing effects in continuous flow vessels, Chem. Eng. Sci. 49(18) (1994) 3147-3167. [22] Y. Han, J.J.Wang, X.P. Gu, L.F. Feng, Numerical simulation on micromixing of viscous fluids in a stirred-tank reactor, Chem. Eng. Sci. 74(2012) 9-17. [23] P. Cassagnau, T. Nietsch, A.Michel, Bulk and dispersed phase polymerization of urethane in twin screw extruders, Int. Polym. Process. 14(2) (1999) 144-151. [24] P. Cassagnau, F. Mélis, A. Michel, Correlation of linear viscoelastic behavior and molecular weight evolution in the bulk urethane polymerization, J. Appl. Polym. Sci. 65(12) (1997) 2395-2406. [25] P. Cassagnau, T. Nietsch,M. Bert, A.Michel, Reactive blending by in situ polymerization of the dispersed phase, Polymer 40(1998) 131-138. [26] M. Hunger, G. Hüsken, H.J.H. Brouwers, Photocatalytic degradation of air pollutants-From modeling to large scale application, Cem. Concr. Res. 40(2) (2010) 313-320. [27] K.V. Vyakaranam, B.K. Ashokan, J.L. Kokini, Evaluation of effect of paddle element stagger angle on the local velocity profiles in a twin-screw continuous mixer with viscous flow using finite element method simulations, J. Food Eng. 108(4) (2012) 585-599. [28] K.X. Yang, C.L. Xin, D.Q. Yu, B.R. Yan, J.J. Pang, Y.D. He, Numerical simulation and experimental study of pressure and residence time distribution of triple-screwextruder, Polym. Eng. Sci. 55(1) (2015) 156-162. [29] K. Hirata, H. Ishida, M. Hiragohri, Y. Nakayama, T. Kajiwara, Effectiveness of a backward mixing screw element for glass fiber dispersion in a twin-screw extruder, Polym. Eng. Sci. 54(9) (2014) 2005-2012. [30] X.M. Zhang, L.F. Feng, W.X. Chen, G.H. Hu, Numerical simulation and experimental validation of mixing performance of kneading discs in a twin screw extruder, Polym. Eng. Sci. 49(9) (2009) 1772-1783. [31] O. Levenspiel, Chemical reaction engineering(3rd edition), John Wiley & Sons, Hoboken, 1998. [32] T. Avalosse, M.J. Crochet, Finite-element simulation of mixing:1. Two-dimensional flow in periodic geometry, AlChE J. 43(3) (1997) 577-587. [33] Z. Tadmor, C.G. Gogos, Principles of polymer processing, second ed. John Wiley & Sons, Hoboken, 2006. [34] P. Danckwerts, The definition andmeasurement of some characteristics ofmixtures, Appl. Sci. Res. 3(4) (1952) 279-296. [35] R.K. Connelly, J.L. Kokini, Mixing simulation of a viscous Newtonian liquid in a twin sigma blade mixer, AIChE J 52(10) (2006) 3383-3393. [36] J. Tu, G.H. Yeoh, C. Liu, Computational fluid dynamics:A practical approach, Elsevier Inc., London, 2008. [37] X.M. Zhang, L.F. Feng, S. Hoppe, G.H. Hu, Local residence time, residence revolution, and residence volume distributions in twin-screw extruders, Polym. Eng. Sci. 48(1) (2008) 19-28. [38] X.M. Zhang, Z.B. Xu, L.F. Feng, X.B. Song, G.H. Hu, Assessing local residence time distributions in screw extruders through a new in-line measurement instrument, Polym. Eng. Sci. 46(4) (2006) 510-519. [39] D.M. Kalyon, A.D. Gotsis, U. Yilmazer, C.G. Gogos, H. Sangani, B. Aral, C. Tsenoglou, Development of experimental techniques and simulation methods to analyze mixing in co-rotating twin screw extrusion, Adv. Polym. Technol. 8(4) (1988) 337-353. [40] F. Sanjabi, S.R. Upreti, A. Lohi, F. Ein-Mozaffari, Helical flow of polymer melts in extruders, part II:Model simulation and validation, Adv. Polym. Technol. 29(4) (2010) 261-279. [41] C. Rauwendaal, Mixing in polymer processing, Marcel Dekker, New York, 1991. [42] A.S. Fard, N.M. Famili, P.D. Anderson, A new adaptation of mappingmethod to study mixing of multiphase flows inmixers with complex geometries, Comput. Chem. Eng. 32(7) (2008) 1471-1481. [43] A.S. Fard,M.A. Hulsen, H.E.H. Meijer, N.M.H. Famili, P.D. Anderson, Tools to simulate distributive mixing in twin-screw extruders, Macromol. Theory Simul. 21(4) (2012) 217-240. [44] A.S. Fard, P.D. Anderson, Simulation of distributive mixing insidemixing elements of co-rotating twin-screw extruders, Comput. Fluids 87(2013) 79-91. [45] C. Rauwendaal, Polymer mixing:A self-study guide, Hanser Publishers, Munich, 1998. |