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Trajectory encounter volume as a diagnostic of mixing potential in fluid flows

机译:轨迹遇到的体积可以诊断出流体中的混合势

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Fluid parcels can exchange water properties when coming into contact with each other, leading to mixing. The trajectory encounter mass and a related simplified quantity, the encounter volume, are introduced as a measure of the mixing potential of a flow. The encounter volume quantifies the volume of fluid that passes close to a reference trajectory over a finite time interval. Regions characterized by a low encounter volume, such as the cores of coherent eddies, have a low mixing potential, whereas turbulent or chaotic regions characterized by a large encounter volume have a high mixing potential. The encounter volume diagnostic is used to characterize the mixing potential in three?flows of increasing complexity: the Duffing oscillator, the Bickley jet and the altimetry-based velocity in the Gulf Stream extension region. An additional example is presented in which the encounter volume is combined with the iu/isup?/sup approach of Pratt et al.?(2016) to characterize the mixing potential for a specific tracer distribution in the Bickley jet flow. Analytical relationships are derived that connect the encounter volume to the shear and strain rates for linear shear and linear strain flows, respectively. It is shown that in both flows the encounter volume is proportional to time.
机译:流体包裹相互接触时可以交换水的性质,从而导致混合。引入轨迹相遇质量和相关的简化量即相遇体积,作为对流的混合势的度量。接触体积量化了在有限的时间间隔内通过接近参考轨迹的流体的体积。以相遇体积较小为特征的区域(如相干涡流的核心)具有较低的混合势,而以相遇体积较大为特征的湍流或混沌区域则具有较高的混合势。遇到体积诊断用于表征三种复杂性不断增加的流中的混合势:Duffing振荡器,Bickley射流和墨西哥湾流扩展区中基于测高仪的速度。提出了另一个示例,其中将the的体积与Pratt等人?(2016)的 u 方法相结合以表征特定示踪剂分布的混合潜力在Bickley射流中。得出了将相遇体积分别与线性剪切流和线性应变流的剪切率和应变率联系起来的分析关系。结果表明,在两种流动中,相遇体积都与时间成正比。

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