An algebraic closure for the DNS of fiber-induced turbulent drag reduction in a channel flow |
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| Authors: | Amin Moosaie Michael Manhart |
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| Affiliation: | 1. Institut für Theoretische Teilchenphysik und Kosmologie, RWTH Aachen University, D-52056 Aachen, Germany;2. Institute of Physics, University of Debrecen, H-4010 Debrecen P.O.Box 105, Hungary;3. University of Nova Gorica, Laboratory for Astroparticle Physics, SI-5000 Nova Gorica, Slovenia;4. The H. Niewodniczański Institute of Nuclear Physics, Polish Academy of Sciences, Radzikowskiego 152, 31-342 Cracow, Poland;5. Institute of Nuclear Physics, NCSR Demokritos, 15310, Athens, Greece;6. Departamento de Fisica Teorica y del Cosmos, Universidad de Granada, E-18071 Granada, Spain;7. Fachbereich C, Bergische Universität Wuppertal, D-42097 Wuppertal, Germany;1. Department of Biological Physics, O.Ya. Usikov Institute for Radiophysics and Electronics, National Academy of Sciences of Ukraine, 12 Academician Proskura Str., Kharkiv 61085, Ukraine;2. Department of Molecular and Medical Biophysics, School of Radiophysics, Biomedical Electronics and Computer Systems, V.N. Karazin Kharkiv National University, 4 Svobody Sq., Kharkiv 61022, Ukraine;3. Chemical Faculty, V.N. Karazin Kharkiv National University, 4 Svobody Sq., Kharkiv 61022, Ukraine;4. Institute for Chemistry, V.N. Karazin Kharkiv National University, 4 Svobody Sq., Kharkiv 61022, Ukraine;1. Department of Applied Science, University of California, Davis, United States;2. Department of Chemical Engineering and Materials Science, University of California, Davis, United States;1. Karlsruhe Institute of Technology (KIT), Institute for Applied Materials (IAM), 70621, Karlsruhe, Germany;2. University of Latvia, Institute of Chemical Physics, LV-1004, Riga, Latvia;3. Daugavpils University, Faculty of Natural Science and Mathematics, Department of Chemistry and Geography, LV-5401, Daugavpils, Latvia;4. Latvian Institute of Organic Synthesis, LV-1006, Riga, Latvia |
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| Abstract: | An algebraic closure for the non-Newtonian Navier–Stokes equations is presented which accounts for the effect of a dilute fiber suspension. The model is intended to be used in simulations of turbulent drag reduction by fiber additives, and can be considered as a computationally efficient alternative to the existing rheological models for fiber suspensions in turbulent wall-bounded flows. It is based on the assumption that the suspended elongated particles are aligned with the local velocity fluctuation vector. The model is proved to be Galilean invariant. One-way coupled simulations and comparison with a direct solution of the underlying Fokker–Planck equation show a considerable improvement over an existing and comparable model. Finally, two-way coupled simulations demonstrate that the model predicts flow statistics that are in very good agreement with those obtained by the moment approximation approach. Interestingly, the model is realistic in terms of the polymer concentration. Using the proposed model, the cost of simulating a drag-reduced flow in terms of CPU-time is slightly more than that of a Newtonian flow. |
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