Scalar dissipation rates in non-conservative transport systems.
Scalar dissipation rates in non-conservative transport systems.
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DOI：
10.1016/j.jconhyd.2013.03.003
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发表时间：
2013-06
影响因子：
3.6
通讯作者：
Fogg, Graham E.
中科院分区：
文献类型：
--
作者：
Engdahl, Nicholas B.;Ginn, Timothy R.;Fogg, Graham E.
这项工作考虑了如何推断的混合状态的扩散和对流扩散系统将随着时间的推移而变化时，溶质质量不随时间的推移是恒定的。我们开发了一些工具，允许标量耗散率被用作在这些系统中的混合措施，而无需计算局部浓度梯度。研究了单组分和多组分动力学反应以及一种常用的平衡反应的耗散率行为。一级衰变示踪剂的标量耗散率可以由被动示踪剂的衰变常数和耗散率精确确定，而保守组分的混合率不是溶质比混合率的叠加。然后，我们展示了如何标量耗散率的行为可以确定从一个有限的子集的一个无限域。修正常数和时间依赖的积分限制，后者是用来近似对流扩散系统中的耗散率。几个修正显示出与以前的混合工作的相似之处，包括非菲克混合。这说明了考虑反应系统或有限监测区域可能对推断的混合状态产生的影响的重要性。
This work considers how the inferred mixing state of diffusive and advective-diffusive systems will vary over time when the solute masses are not constant over time. We develop a number of tools that allow the scalar dissipation rate to be used as a mixing measure in these systems without calculating local concentration gradients. The behavior of dissipation rates are investigated for single and multi-component kinetic reactions and a commonly studied equilibrium reaction. The scalar dissipation rate of a tracer experiencing first order decay can be determined exactly from the decay constant and the dissipation rate of a passive tracer, and the mixing rate of a conservative component is not the superposition of the solute specific mixing rates. We then show how the behavior of the scalar dissipation rate can be determined from a limited subset of an infinite domain. Corrections are derived for constant and time dependent limits of integration the latter is used to approximate dissipation rates in advective-diffusive systems. Several of the corrections exhibit similarities to the previous work on mixing, including non-Fickian mixing. This illustrates the importance of accounting for the effects that reaction systems or limited monitoring areas may have on the inferred mixing state.
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