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Effect of rotational ambient, discharge and inflow density on the formation and evolution of a density-driven current over a steep slope
Environmental Fluid Mechanics ( IF 1.7 ) Pub Date : 2021-02-10 , DOI: 10.1007/s10652-021-09778-6
Talia Tokyay

This numerical study investigates the evolution of constant-flux high density fluid introduced vertically to a rotational low-density ambient through a circular inlet situated on top of a cone, which is mounted to the bottom of the simulation domain. The progress of the high density fluid over the bottom-mounted cone with steep side-wall slope of 39° is numerically modeled using large eddy simulations (LES). In the study, two different inflow discharges, three different inflow density values and three different ambient rotations are considered. The effect of rotational ambient and its relation to vertically-released inflow discharge and density on the formation and evolution of the current is evaluated using an effective Ekman number and a Rossby analogue of the flow calculated based on the inflow and ambient conditions. Mean radius of deformation, Reynolds and Froude numbers of the current are calculated based on the mean reduced gravitational acceleration and mean depth of the current at the end of the slope. Their relation to entrainment is discussed. A Taylor-column like formation around the inlet is observed for flows with small Rossby analogue. The entrainment is observed to increase with increasing radius of deformation. The combined effect of Reynolds and Froude numbers on entrainment is found to be less noticeable for currents propagating on a bottom mounted cone at 1000 < ReFr < 250,000 in the rotational ambient conditions considered in the present study.



中文翻译:

旋转环境,放电和流入密度对陡坡上密度驱动电流形成和演化的影响

该数值研究研究了通过安装在模拟域底部的圆锥形顶部上的圆形入口垂直引入旋转低密度环境的恒定通量高密度流体的演变。使用大涡流模拟(LES)对高密度流体在底部锥度为39°的陡峭侧壁上的锥上的流动进行了数值模拟。在研究中,考虑了两种不同的流入流量,三种不同的流入密度值和三种不同的环境旋转。旋转环境的影响及其与垂直释放的流入流量和密度的关系,对电流的形成和演化的影响是使用有效的埃克曼数和基于流入量和环境条件计算的流量的Rossby类似物进行评估的。平均变形半径 电流的雷诺数和弗洛德数是根据平均减小的重力加速度和斜率末端处的电流的平均深度来计算的。讨论了它们与夹带的关系。对于小型Rossby模拟流,观察到了入口周围呈泰勒柱状的构造。观察到夹带随着变形半径的增加而增加。对于在本研究中考虑的旋转环境条件下,在1000 <ReFr <250,000的底部安装的圆锥体上传播的电流,雷诺数和Froude数对夹带的综合影响被发现不那么明显。对于小型Rossby模拟流,观察到了入口周围呈泰勒柱状的构造。观察到夹带随着变形半径的增加而增加。对于在本研究中考虑的旋转环境条件下,在1000 <ReFr <250,000的底部安装的圆锥体上传播的电流,雷诺数和Froude数对夹带的综合影响被发现不那么明显。对于小型Rossby模拟流,观察到了入口周围呈泰勒柱状的构造。观察到夹带随着变形半径的增加而增加。对于在本研究中考虑的旋转环境条件下,在1000 <ReFr <250,000的底部安装的圆锥体上传播的电流,雷诺数和Froude数对夹带的综合影响被发现不那么明显。

更新日期:2021-02-10
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