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Accelerating Dense-Water Flow down a Slope

机译:加速稠密水流向下倾斜

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摘要

Where water is denser on a shallow shelf than in the adjacent deep ocean, it tends to flow down the slope from shelf to ocean. The flow can be in a steady bottom boundary layer for moderate combinations of upslope density gradient - ρ_(x∞) and bottom slope (angle θ to horizontal):rnb≡ |ρ_(x∞)|g singθ/(f~2ρ_0)< 1.rnHere g is acceleration due to gravity, ρ_0 is a mean density, and/is twice the component of the earth's rotation normal to the sloping bottom. For stronger combinations of the horizontal density gradient and bottom slope, the flow accelerates. Analysis of an idealized initial value problem shows that, when b ≥ 1, there is a bottom boundary layer with downslope flow, intensifying exponentially at a rate fb~2(1 + b) ~(-1/2)/2, and slower-growing flow higher up. For stronger stratification b > 2~(1/2) , that is, a relatively weak Coriolis constraint, the idealized problem posed here may not be the most apposite but suggests that the whole water column accelerates, at a rate [ρ_0~(-1)|ρ_(x∞)|g sinθ]~(1/2) if/is negligible.
机译:与相邻的深海相比,浅层架子上的水密,那里的水倾向于从架子上流到海洋。对于上坡密度梯度-ρ_(x∞)和下坡度(与水平方向的夹角)的适度组合,流可以在稳定的底部边界层中:rnb≡|ρ_(x∞)| gsingθ/(f〜2ρ_0) <1.rng是重力引起的加速度,ρ_0是平均密度,和/是垂直于倾斜底部的地球自转分量的两倍。对于水平密度梯度和底部坡度的更强组合,流会加速。对理想初始值问题的分析表明,当b≥1时,存在一个具有下坡流动的底部边界层,其下移速度为fb〜2(1 + b)〜(-1/2)/ 2且呈指数增长,并且更慢-增长的流量更高。对于更强的分层b> 2〜(1/2),即相对较弱的科里奥利约束,此处提出的理想化问题可能不是最合适的,而是表明整个水柱以[ρ_0〜(- 1)|ρ_(x∞)| gsinθ]〜(1/2)如果/可忽略。

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  • 来源
    《Journal of Physical Oceanography》 |2009年第6期|1495-1411|共17页
  • 作者

    John M. Huthnance;

  • 作者单位

    Proudman Oceanographic Laboratory, 6 Brownlow St., Liverpool L3 5DA, United Kingdom;

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  • 原文格式 PDF
  • 正文语种 eng
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