A magnetic fluid laboratory model of the global buoyancy and wind-driven ocean circulation: Analysis |
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| Institution: | 1. LOCEAN-IPSL, Sorbonne Universités (UPMC Paris 6), CNRS/IRD/MNHN, Paris, France;2. Department of Atmospheric and Oceanic Sciences, McGill University, Montreal, Quebec, Canada;3. Laboratoire de Glaciologie, Université Libre de Bruxelles, Belgium;1. NOAA/National Oceanographic Data Center, Silver Spring, MD, USA;2. UCAR Project Scientist, National Oceanographic Data Center, Silver Spring, MD, USA;3. University of Maryland, College Park, MD, USA;1. Leibniz Center for Tropical Marine Research (ZMT), Fahrenheitstraße 6, 28359, Bremen, Germany;2. Institute for Hydrobiology and Fishery Science, University of Hamburg, Olbersweg 24, 22767, Hamburg, Germany;3. Thünen-Institute of Sea Fisheries, Herwigstraße 31, 27572, Bremerhaven, Germany;1. Department of Geology, University of Kansas, 1475 Jayhawk Blvd., 120 Lindley Hall, Lawrence, KS 66045, USA;2. Department of Earth Sciences, The University of Hong Kong, Pokfulam Road, Hong Kong;3. State Key Laboratory of Environmental Geochemistry, Institute of Geochemistry, Chinese Academy of Sciences, 46 Guanshui Road, Guiyang 550002, China;1. Department of Oceanography, Texas A&M University, College Station, TX 77843, United States;2. Massachusetts Institute of Technology, Department of Earth Atmospheric and Planetary Sciences, Cambridge, MA 02142, United States;3. Environmental Pollution and Climate Program, Environment and Life Sciences Research Center, Kuwait Institute for Scientific Research, Kuwait;4. State Key Laboratory for Estuarine and Coastal Research, East China Normal University, Shanghai, China;5. Florida State University, Department of Earth Ocean and Atmospheric Science, Tallahassee, FL, 32310, United States;6. National High Magnetic Field Laboratory, Tallahassee, Florida 32310, United States;7. University of Hawaii, School of Ocean and Earth Science Technology, Honolulu, HI 96822, United States;1. Department of Earth, Atmospheric and Planetary Sciences, Massachusetts Institute of Technology, Cambridge, MA, United States;2. Lamont-Doherty Earth Observatory of Columbia University, Palisades, NY, United States;3. Department of Earth, Ocean, and Atmospheric Science, Florida State University, Tallahassee, FL, United States |
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| Abstract: | A magnetic fluid laboratory model of the global buoyancy and wind-driven ocean circulation is analyzed. Magnetic fluid is attached to a horizontal cylinder rotating about a vertical axis through its center. The magnetic gravity is radially inwards and is much larger than the normal terrestrial gravitational acceleration g. Motion is driven by imposed meridional heating gradients and/or a surface wind stress. Since the fluid occupies the region from equator to pole, or perhaps some other range of latitude spanning at least 90°, such a facility allows the laboratory simulation of large scale ocean flows. The method of forming the magnetic gravity involves the use of a stack of cylindrical disk magnets, separated by spacers. Although the dominant component of the magnetic gravity is radial and axially invariant, there is a residual “anomalous gravity” that is periodic with a wavelength equal to the magnet spacing along the direction of the magnet stack. The nature of secondary circulations induced by this spatial variation of magnetic gravity will interfere with the proposed experiments on ocean circulations. In this paper we determine the size of such circulations, and compute the expected changes in stability properties of the system due to these anomalies. The spatially-periodic secondary circulations and gravity modulations can be either stabilizing or destabilizing. The physical mechanisms affecting the stability in the limits of small and large values of the Rayleigh number are extracted from the analysis. |
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