A 2D model for tube orientation and tube squeezing in fast flows of polymer melts |
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| Affiliation: | 1. State Key Laboratory of Chemical Resource Engineering, Beijing Engineering Center for Hierarchical Catalysts, Beijing Advanced Innovation Center for Soft Matter Science and Engineering, Beijing University of Chemical Technology, Beijing 100029, China;2. National Fundamental Research Laboratory of New Hazardous Chemicals Assessment and Accident Analysis, Beijing University of Chemical Technology, Beijing 100029, China;1. Van Yuzuncu Yil University, Faculty of Engineering, Department of Chemical Engineering, Van, 65000, Turkey;2. Department of Chemical Engineering, Atatürk University, 25240, Erzurum, Turkey;3. Selcuk University, Faculty of Engineering, Department of Chemical Engineering, Konya, 42031, Turkey;4. Konya Teknik University, Faculty of Engineering, Department of Chemical Engineering, Konya, Turkey;1. Instituto de Hortofruticultura Subtropical y Mediterránea “La Mayora”, Universidad de Málaga-Consejo Superior de Investigaciones Científicas (IHSM, UMA-CSIC), Bulevar Louis Pasteur 49, 29010 Málaga, Spain;2. Instituto de Ciencia de Materiales de Sevilla, Centro Mixto CSIC-Universidad de Sevilla, Calle Américo Vespucio 49, Isla de la Cartuja, Sevilla 41092, Spain |
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| Abstract: | Motivated by recent data of Hassager and coworkers [A. Bach, K. Almdal, H.K. Rasmussen, O. Hassager, Elongational viscosity of narrow molar mass distribution polystyrene, Macromolecules, 36 (2003) 5174–5179], we develop a new tube model describing the non-linear behaviour of entangled monodisperse linear polymers. Within the context of well established tube theories, the model accounts for the effect of flow on tube diameter, thus somehow picking up a long standing suggestion by Wagner and Schaeffer [M.H. Wagner, J. Schaeffer, Non-linear strain measures for general biaxial extension of polymer melts, J. Rheol., 32 (1992) 1–26] among others. Since tubes with a deformation dependent cross section are rather difficult to deal with, we here limit model development to an artificial two-dimensional situation. The simple 2D model has the advantage of illustrating the new physical assumptions more transparently, and it already proves to correctly predict most qualitative features typically shown by shear and elongational data in the non-linear range. |
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