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Numerical investigation of momentumless wakes in stratified fluids.

机译:分层流体中无动量尾流的数值研究。

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The dissertation focuses on a comparison between momentumless (self-propelled) and net-momentum (towed) wakes with an emphasis on the elucidation of buoyancy effects. It is difficult to realize truly momentumless wakes in the laboratory and DNS offer a viable, accurate alternative because the initial value of net momentum can be controlled and the evolution of the net momentum can be closely monitored. DNS of axisymmetric wakes with and without net momentum are performed at Re = 50,000 on a grid with approximately 2 billion grid points. The development of the wake is characterized by the evolution of maxima, area integrals and spatial distributions of mean and turbulence statistics. The mean velocity in the self-propelled, momentumless wake decays more rapidly than the towed case due to higher shear and consequently a faster rate of energy transfer to turbulence. Buoyancy allows a wake to survive longer in a stratified fluid by reducing the ⟨ u'1u'3 ⟩ correlation responsible for the mean-to-turbulence energy transfer in the vertical direction. This buoyancy effect is especially important in the self-propelled case because it allows regions of positive and negative momentum to become decoupled in the vertical direction and decay with different rates. The vertical wake thickness is found to be larger in self-propelled wakes. The role of internal waves in the energetics is determined and it is found that they are responsible for sustaining turbulence at the wake periphery long after the shear production has subsided. The non-equilibrium region of the Re = 50,000 wake is found to exhibit a time span when, although the turbulence is strongly stratified as indicated by small Froude number, the turbulent dissipation rate exhibits inertial scaling. The multiply inflected mean velocity profile, inherent to the self-propelled wake, results in four bands of vorticity, compared to the two bands observed in the towed case. Vortex pairs of opposite sign form vortex dipoles which interact with other dipoles to cause a more disordered appearance of the late wake vorticity when compared to the towed case.
机译:本文着重比较无动力(自推进)和净动量(拖曳)尾流之间的比较,并着重于浮力作用的阐明。很难在实验室中实现真正的无动量唤醒,而DNS提供了可行,准确的替代方案,因为可以控制净动量的初始值,并且可以密切监视净动量的变化。在具有大约20亿网格点的网格上,在Re = 50,000时执行带有和不带有净动量的轴对称尾波的DNS。尾流的发展特征是最大值,面积积分以及均值和湍流统计的空间分布。由于较高的剪切力,因此自推进的无动量尾流中的平均速度比被拖曳情况更快地衰减,因此能量向湍流的传递速度更快。浮力通过减小负责垂直方向上平均流到湍流能量传递的〈u'1u'3​​〉相关性,从而使尾流在分层流体中生存更长的时间。这种浮力作用在自推进情况下尤其重要,因为它允许正和负动量区域在垂直方向上解耦并以不同的速率衰减。发现垂直尾流厚度在自推进尾流中较大。确定了内部波在高能学中的作用,发现内部波在剪切产生消退后很长一段时间内就在尾流周边维持湍流。发现Re = 50,000尾流的非平衡区域表现出一个时间跨度,尽管尽管湍流如小Froude数所示强烈分层,但湍流耗散率却表现出惯性尺度。与在拖曳情况下观察到的两个波段相比,自推进尾流固有的多次弯曲平均速度曲线导致了四个涡带。具有相反符号的涡流对形成涡流偶极子,与被拖曳的情况相比,涡流偶极子与其他偶极子相互作用,导致较晚的尾流涡度更加混乱。

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