Comparative numerical study of two concentrated fiber suspension models |
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| Authors: | Arnulf Latz Uldis Strautins Dariusz Niedziela |
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| Institution: | 1. Karlsruhe Institute of Technology, Institute for Applied Materials, Karlsruhe, Germany;2. Karlsruhe Institute of Technology, Institute of Engineering Mechanics, Karlsruhe, Germany;1. Fraunhofer ITWM, Fraunhofer-Platz 1, 67663 Kaiserslautern, Germany;2. Fraunhofer LBF, Bartningstrasse 47, 64289 Darmstadt, Germany;3. Fraunhofer EMI, Eckerstrasse 4, 79104 Freiburg, Germany;4. Fraunhofer IIS, Am Wolfsmantel 33, 91058 Erlangen, Germany;5. Fraunhofer IZFP, Campus E3.1, 66123 Saarbrücken, Germany;6. Fraunhofer ICT, Joseph-von-Fraunhofer-Strasse7, 76327 Pfinztal, Germany;7. Dept. of Chemistry, University of Basel, Klingelbergstr. 80, 4056 Basel, Switzerland |
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| Abstract: | We consider two rheological models for concentrated fiber suspensions. In both models the equations for orientation and flow are fully coupled, i.e., the orientation influences the flow via a constitutive relation for the viscosity and the orientation of the fibers is determined by the flow field. The orientation state of the fibers is characterized by the Advani–Tucker orientation tensor. We are investigating suspensions of fibers in which the kinetic energies of the fibers are large compared to the thermal energies, i.e., the influence of Brownian motion may be neglected. The first model is the Folgar–Tucker model with backcoupling to the flow (FT model). The second model is an extension of Folgar–Tucker, which models phenomenologically the topological exclusion interaction in dense suspensions (FTMS model). As test cases for the simulation are considered channel flow, 8:1 contraction flow and flow around a cylinder. |
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