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A Matlab environment for analysis of fluid flow and transport around a translating sphere
Institution:1. School of Meteorology, University of Oklahoma, Norman, OK, USA;2. Advanced Radar Research Center, University of Oklahoma, Norman, OK, USA;3. Cooperative Institute for Mesoscale Meteorological Studies, University of Oklahoma, Norman, OK, USA;4. NOAA/OAR/National Severe Storms Laboratory, Norman, OK, USA;1. Centre for Hydrology and Global Institute for Water Security, University of Saskatchewan, Canada;2. Global Institute for Water Security, Canada;1. Department of Mathematics & Statistics, Riphah International University Islamabad, Pakistan;2. Department of Mathematics, Quaid-I-Azam University, Islamabad 44000, Pakistan;1. S. K. Mitra Centre for Research in Space Environment, Institute of Radio Physics and Electronics, University of Calcutta, Kolkata 700009, India;2. Department of Physics, Institute of Science, Banaras Hindu University, Varanasi 221005, India
Abstract:We present a software environment, implemented in Matlab, which addresses a sphere moving steadily in a fluid. The sphere leaks solute which is transported through the fluid. The environment allows the fluid flow to be approximated with Stokes' flow, or the Navier–Stokes equations can be solved numerically. Subsequently, the advection–diffusion equation for the concentration of the solute is solved numerically. Our purpose for developing the environment was to investigate solute concentrations around sinking marine snow, but the environment has more general applicability. The allowable parameter range depends on computational ressources; on our PC we investigated Reynolds numbers up to 20 and Peclet numbers up to 20,000. The environment features a graphical user interface which makes it useful to people who have never used Matlab, but the experienced Matlab user can also operate from the command prompt.
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