A generalised Phan–Thien—Tanner model
Author(s)Ferrás, L.L.; Morgado, M.L.; Rebelo, M.; McKinley, Gareth H; Afonso, A.M.
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In this work we propose a novel generalised form of the Phan–Thien and Tanner (PTT) model by considering a new functional form of the nonlinear expression characterizing the destruction of physical network junctions and entanglements. This new function of the trace of the stress tensor is given by the generalized Mittag–Leffler function, and contains the familiar exponential form of the original Phan–Thien and Tanner model as a limiting case, but affords additional fitting flexibility through the inclusion of one or two additional fitting constants. We perform fits to experimental data in shear and extension and show that this generalized expression allows a better description of the rheological responses for a range of complex materials such as polymer melts and semidilute polymer solutions. By using an appropriate information criterion, we also demonstrate that the resulting generelized model remains parsimonious but provides improved fits of real world data. ©2019 The Authors
DepartmentMassachusetts Institute of Technology. Department of Mechanical Engineering
Journal of Non-Newtonian Fluid Mechanics
Ferrás, L.L. et al., "A generalised Phan–Thien—Tanner model." Journal of Non-Newtonian Fluid Mechanics 269 (July 2019): 88-99 doi. 10.1016/j.jnnfm.2019.06.001 ©2019 Authors
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