Study of gravitational sedimentation of flexible,permeable circular and planktonic particle applying the immersed boundary method |
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Institution: | 1. Departamento de Química, Instituto Nacional de Investigaciones Nucleares, Carretera México-Toluca S/N, La Marquesa, Ocoyoacac, Estado de México C. P. 52750, Mexico;2. CONACyT – Instituto Nacional de Investigaciones Nucleares, La Marquesa, Ocoyoacac, Estado de México, Mexico;1. Process Engineering and Environment Laboratory, Faculty of Sciences and Techniques of Mohammedia, Hassan II University of Casablanca, BP 146, Mohammedia 28806, Morocco;2. Department of Chemistry, Center of Materials Science, Laboratory of Applied Materials Chemistry, Faculty of Sciences Rabat, Mohammed V University, 4 Av. Ibn Battouta, B.P. 1014 RP, Rabat, Morocco;3. Department of Earth Sciences, Abdelmalek Essaadi University, École Normale Supérieure, Tétouan, Morocco;4. Department of Soil Science, College of Agriculture, Isfahan University of Technology, Isfahan 8415683111, Iran;5. Laboratory of Environmental Geology and Natural Resources, Faculty of Sciences, Abdelmalek Essaadi University, Tétouan, Morocco;1. Department of Environmental Engineering, Federal University of Paraná, Curitiba, Brazil;2. Institute of Hydraulic Research, Federal University of Rio Grande do Sul, Porto Alegre, Brazil |
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Abstract: | The gravitational settling of a flexible, permeable circular and planktonic particle drenched in a fluid which is assumed to be Newtonian and incompressible along with being viscous was studied. A mathematical formulation and numerical simulations of the studied problem were done by applying the Immersed Boundary Method (IBM) in a two-dimensional fluid domain. Parametric studies were done for analyzing the impact of varying flexibilities and permeabilities with reference to settling velocity (terminal velocity) and shape deformation of the particle. The terminal velocity and permeability of the particle are directly proportional. It was observed that for fixed permeability, the terminal velocity increases when increasing the flexibility of the particle. |
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Keywords: | Immersed Boundary Method (IBM) Sedimentation Incompressible fluid Flexible particle Permeable particle Settling velocity |
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