Flow of a fluid-solid mixture: Normal stress differences and slip boundary condition |
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| Affiliation: | 1. Department of Biomedical Engineering, Carnegie Mellon University, Pittsburgh, PA 15213, USA;2. Department of Mechanical and Industrial Engineering, Northeastern University, Boston, MA 02115, USA;3. U.S. Department of Energy, National Energy Technology Laboratory (NETL), Pittsburgh, PA 15236, USA;1. CEA, DEN, Service d’Etudes des Systèmes Innovants, F-13108 Saint Paul Lez Durance, France;2. CEA, DEN, Service de Technologie des Composants et des Procédés, F-38054 Grenoble, France;3. CEA, DEN, Service de Thermohydraulique et de Mécanique des Fluides, F-38054 Grenoble, France;1. Center for Biofluid and Biomimic Research, Department of Mechanical Engineering, Pohang University of Science and Technology, Pohang 790-784, South Korea;2. Postech Biotech Center, Pohang University of Science and Technology, Pohang 790-784, South Korea;1. Department of Clinical Neurosciences, and;2. Department of Radiology, Foothills Medical Centre, Calgary, Alberta, Canada;3. Biomedical Simulation Laboratory, Department of Mechanical & Industrial Engineering, University of Toronto, Toronto, Canada;4. Heart Research, Clinical Sciences, Murdoch Children''s Research Institute, Melbourne, Australia |
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| Abstract: | In this paper, using mixture theory we study the flow of a dense suspension, composed of solid particles and a fluid; the emphasis is on the influence of the slip boundary condition and the effect of normal stress differences. Very little work has been done considering both the slip at the walls and the normal stress effects in the frame of a two-component flow. In this paper, the stress tensor for the solid component is modeled as a nonlinear fluid which not only includes the viscous effects but also the normal stress effects; the fluid constituent is modeled as a viscous fluid. We look at the flow between two flat plates. |
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| Keywords: | Slip boundary condition Mixture theory Normal stress effects Shear-thinning fluid Two-phase flows |
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