Stokes flow inside and around a fluid drop distorted by the presence of a tube wall |
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| Authors: | Madeleine Coutanceau Alain Texier |
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| Institution: | 1. Department of Elec., Manag. and Mechanical Engineering, University of Udine, 33100, Udine, Italy;2. Department of Fluid Mechanics, CISM, 33100, Udine, Italy;1. Université de Toulouse, INSA, LISBP, 135 Avenue de Rangueil, F-31077 Toulouse, France;2. INRA UMR792 Ingénierie des Systèmes Biologiques et des Procédés, Toulouse, France;3. CNRS, UMR5504, F-31400 Toulouse, France;1. Department of Mathematical Sciences, UAE University, Al Ain, P.O. Box 15551, United Arab Emirates;2. Department of Mechanical Power Engineering, Faculty of Engineering, Menoufia University, Shebin-Elkom, P.O. 32511, Egypt;1. Key Laboratory for Semi-Arid Climate Change of the Ministry of Education, College of Atmospheric Sciences, Lanzhou University, Lanzhou, China;2. School of Earth and Environment, University of Leeds, Leeds, UK;3. School of Earth, Atmospheric and Environmental Sciences, Centre for Atmospheric Science, University of Manchester, UK |
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| Abstract: | Using a quadratic optimisation process to satisfy the boundary conditions, the drag coefficient and the flow patterns inside and outside a fluid drop translating axially in a tube have been determined accurately even when the drop is clearly elongated. Convincing comparisons with experimental results (flow visualizations, velocity and drag measurements) are presented. The effects of the viscosity and density ratios are examined. |
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