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    On the Effects of Vorticity Entrainment in Zonal Jet Flows

    Source: Journal of the Atmospheric Sciences:;1969:;Volume( 026 ):;issue: 006::page 1233
    Author:
    Smith, R. K.
    DOI: 10.1175/1520-0469(1969)026<1233:OTEOVE>2.0.CO;2
    Publisher: American Meteorological Society
    Abstract: There is a tendency for certain flows in the atmosphere and oceans to concentrate into narrow streams or currents, which preserve their identity over very large distances. The ability of such flows to overcome the diffusive effects normally encountered in laboratory jet flows is usually explained in terms of the entrainment into the jet of relative vorticity, with a sign which helps to maintain the shear. A simple model which one would expect to exhibit this properly was described by Long who examined the flow of a two-dimensional, viscous jet on a beta-plane, and obtained the first term of an asymptotic series solution for the flow in a region far upstream from some origin. This term is essentially the solution of the linearized jet equations, which represent a balance between Coriolis and viscous forces with the pressure gradient. Unfortunately, Long did not calculate further terms in his expansion and his solution did not therefore contain the effects of advection (or entrainment) of fluid. In the present paper, the second term is calculated. This describes the largest effect of the nonlinear terms on the asymptotic flow and confirms that the entrainment of fluid into a westerly jet enhances the shear, in contrast to jet flows which have no background rotation. Further terms in Long's asymptotic series are also investigated and it is shown, in general, that these are indeterminate.
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      On the Effects of Vorticity Entrainment in Zonal Jet Flows

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    contributor authorSmith, R. K.
    date accessioned2017-06-09T14:15:09Z
    date available2017-06-09T14:15:09Z
    date copyright1969/11/01
    date issued1969
    identifier issn0022-4928
    identifier otherams-15707.pdf
    identifier urihttp://onlinelibrary.yabesh.ir/handle/yetl/4151409
    description abstractThere is a tendency for certain flows in the atmosphere and oceans to concentrate into narrow streams or currents, which preserve their identity over very large distances. The ability of such flows to overcome the diffusive effects normally encountered in laboratory jet flows is usually explained in terms of the entrainment into the jet of relative vorticity, with a sign which helps to maintain the shear. A simple model which one would expect to exhibit this properly was described by Long who examined the flow of a two-dimensional, viscous jet on a beta-plane, and obtained the first term of an asymptotic series solution for the flow in a region far upstream from some origin. This term is essentially the solution of the linearized jet equations, which represent a balance between Coriolis and viscous forces with the pressure gradient. Unfortunately, Long did not calculate further terms in his expansion and his solution did not therefore contain the effects of advection (or entrainment) of fluid. In the present paper, the second term is calculated. This describes the largest effect of the nonlinear terms on the asymptotic flow and confirms that the entrainment of fluid into a westerly jet enhances the shear, in contrast to jet flows which have no background rotation. Further terms in Long's asymptotic series are also investigated and it is shown, in general, that these are indeterminate.
    publisherAmerican Meteorological Society
    titleOn the Effects of Vorticity Entrainment in Zonal Jet Flows
    typeJournal Paper
    journal volume26
    journal issue6
    journal titleJournal of the Atmospheric Sciences
    identifier doi10.1175/1520-0469(1969)026<1233:OTEOVE>2.0.CO;2
    journal fristpage1233
    journal lastpage1237
    treeJournal of the Atmospheric Sciences:;1969:;Volume( 026 ):;issue: 006
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
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