A Reynolds stress model for turbulent flow of homogeneous polymer solutions |
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Institution: | 1. Transport Phenomena Research Center, Faculty of Engineering, University of Porto, Rua Dr. Roberto Frias s/n, 4200-465 Porto, Portugal;2. Department of Mechanical Engineering, Hanbat National University, 125 Dongseo-daero, Yuseong-gu, Daejeon 305-701, South Korea;3. Department of Biomedical and Chemical Engineering, Department of Physics, Syracuse University, NY 13244, USA;1. Department of System Engineering and Naval Architecture, National Taiwan Ocean University, Keelung 20224, Taiwan, ROC;2. Department of Marine Environment and Engineering, National Sun Yat-sen University, Kaohsiung 80424, Taiwan, ROC;3. School of Civil and Resource Engineering, The University of Western Australia, Crawley, WA 6009, Australia |
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Abstract: | Using a priori analyses of direct numerical simulation (DNS) data, a Reynolds stress model (RSM) is developed to account for the influence of polymer additives on turbulent flow over a wide range of flow conditions. The Finitely Extensible Nonlinear Elastic-Peterlin (FENE-P) rheological constitutive model is utilized to evaluate the polymer contribution to the stress tensor. Thirteen DNS data sets are used to analyze the budgets of elastic stress–velocity gradient correlations as well as Reynolds stress and dissipation transport. Closures are developed in the framework of the RSM model for all the required unknown and non-linear terms. The polymer stresses, velocity profiles, turbulent flow statistics and the percentage of friction drag reduction predicted by the RSM model are in good agreement with present and those obtained from independent DNS data over a wide range of rheological and flow parameters. |
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Keywords: | Drag reduction FENE-P fluid Viscoelastic DNS Viscoelastic RANS model |
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