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    The Intrusion Depth of Density Currents Flowing into Stratified Water Bodies

    Source: Journal of Physical Oceanography:;2009:;Volume( 039 ):;issue: 008::page 1935
    Author:
    Wells, Mathew
    ,
    Nadarajah, Parthiban
    DOI: 10.1175/2009JPO4022.1
    Publisher: American Meteorological Society
    Abstract: Theory and laboratory experiments are presented describing the depth at which a density current intrudes into a linearly stratified water column, as a function of the entrainment ratio E, the buoyancy flux in the dense current B, and the magnitude of the stratification N. The main result is that Z ? E?1/3B1/3/N. It is shown that the depth of the intrusion scales as Z ? (3 ± 1)B1/3/N for laboratory experiments, and as for oceanic density currents. The velocity of a large-scale density current is controlled by a geostrophic balance defined as Ugeo = 0.25g?s/f, where s is the slope and f is the Coriolis parameter. The geostrophic buoyancy flux is then defined by Bgeo = g?Ugeoh, with g? the reduced gravity and h the thickness of the current. The scaling herein implies that the depth of an oceanic intrusion is relatively insensitive to changes in source water properties but is very sensitive to changes in the stratification of the water column, consistent with the previous scaling of Price and Baringer. For example, if the buoyancy flux of a dense current were to double while the stratification remained constant, then there would only be a 25% increase in the intrusion depth, whereas doubling the stratification would result in a 50% decrease of the intrusion depth.
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      The Intrusion Depth of Density Currents Flowing into Stratified Water Bodies

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    contributor authorWells, Mathew
    contributor authorNadarajah, Parthiban
    date accessioned2017-06-09T16:30:27Z
    date available2017-06-09T16:30:27Z
    date copyright2009/08/01
    date issued2009
    identifier issn0022-3670
    identifier otherams-69111.pdf
    identifier urihttp://onlinelibrary.yabesh.ir/handle/yetl/4210744
    description abstractTheory and laboratory experiments are presented describing the depth at which a density current intrudes into a linearly stratified water column, as a function of the entrainment ratio E, the buoyancy flux in the dense current B, and the magnitude of the stratification N. The main result is that Z ? E?1/3B1/3/N. It is shown that the depth of the intrusion scales as Z ? (3 ± 1)B1/3/N for laboratory experiments, and as for oceanic density currents. The velocity of a large-scale density current is controlled by a geostrophic balance defined as Ugeo = 0.25g?s/f, where s is the slope and f is the Coriolis parameter. The geostrophic buoyancy flux is then defined by Bgeo = g?Ugeoh, with g? the reduced gravity and h the thickness of the current. The scaling herein implies that the depth of an oceanic intrusion is relatively insensitive to changes in source water properties but is very sensitive to changes in the stratification of the water column, consistent with the previous scaling of Price and Baringer. For example, if the buoyancy flux of a dense current were to double while the stratification remained constant, then there would only be a 25% increase in the intrusion depth, whereas doubling the stratification would result in a 50% decrease of the intrusion depth.
    publisherAmerican Meteorological Society
    titleThe Intrusion Depth of Density Currents Flowing into Stratified Water Bodies
    typeJournal Paper
    journal volume39
    journal issue8
    journal titleJournal of Physical Oceanography
    identifier doi10.1175/2009JPO4022.1
    journal fristpage1935
    journal lastpage1947
    treeJournal of Physical Oceanography:;2009:;Volume( 039 ):;issue: 008
    contenttypeFulltext
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