Thermodynamic admissibility of the extended Pom-Pom model for branched polymers |
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| Institution: | 1. Department of Neurosurgery, Johns Hopkins University School of Medicine, Baltimore, MD 21231, United States;2. Department of Pathology, Johns Hopkins University School of Medicine, Baltimore, MD 21231, United States;3. Department of Otolaryngology-Head and Neck Surgery, Johns Hopkins University School of Medicine, Baltimore, MD 21231, United States;4. Department of Oncology, Johns Hopkins University School of Medicine, Baltimore, MD 21231, United States;5. Department of Biomedical Engineering, Johns Hopkins University School of Medicine, Baltimore, MD 21231, United States;6. Department of Ophthalmology, Johns Hopkins University School of Medicine, Baltimore, MD 21231, United States;1. National Engineering Laboratory for Pipeline Safety/Beijing Key Laboratory of Urban Oil & Gas Distribution Technology, China University of Petroleum (Beijing), Beijing 102249, China;2. College of Petroleum Engineering, Northeast Petroleum University, Daqing 163318, China;2. Department of Materials Science and Engineering, Northwestern University, Evanston, Illinois;3. Department of Materials Science and Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts;1. Technical University of Denmark, Nils Koppels Allé, 2800 Kgs. Lyngby, Denmark;2. DHI Water & Environment, Agern Allé 11, 2970 Hørsholm, Denmark;3. Energy, Environment and Water Research Centre of the Cyprus Institute, Cyprus;4. Enalia Physis Environmental Research Centre, Nicosia, Cyprus |
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| Abstract: | The thermodynamic consistency of the eXtended Pom-Pom (XPP) model for branched polymers of Verbeeten et al. W.M.H. Verbeeten, G.W.M. Peters, F.P.T. Baaijens, Differential constitutive equations for polymer melts: the extended pom-pom model, J. Rheol. 45 (4) (2001) 823–843; W.M.H. Verbeeten, G.W.M. Peters, F.P.T. Baaijens, Differential constitutive equations for polymer melts: the extended pom-pom model (vol 45, pg 823–843, 2001), J. Rheol. 45 (6) (2001) 1489] as well as its modified version J. van Meerveld, Note on the thermodynamic consistency of the integral pom-pom model, J. Non-Newtonian Fluid Mech. 108 (1–3) (2002) 291–299] is investigated from the perspective of non-equilibrium thermodynamics, namely the General Equation for Non-Equilibrium Reversible–Irreversible Coupling (GENERIC) framework. The thermodynamic admissibility of the XPP model is shown for both its original and modified form. According to the GENERIC formalism, the parameter α introduced by Verbeeten et al. to predict non-zero second normal stress in shear flows must fulfill the condition 0 ≤ α ≤ 1. |
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