Direct simulation of weak axisymmetric fountains in a homogeneous fluid

Direct simulation of weak axisymmetric fountains in a homogeneous fluid
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均匀流体中弱轴对称喷泉的直接模拟

DOI:
10.1017/s0022112099006953
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发表时间:
2000-01
期刊:
J.Fluid Mech.
影响因子:
--
通讯作者:
S.W.Armfield
S.W.Armfield
中科院分区:
其他
文献类型:
--
作者:
Wenxian Lin;S.W.Armfield

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本文用数值方法研究了稠密流体向上注入大容器的低密度均匀流体所产生的弱轴对称喷泉。使用一个时间精确的有限体积代码,喷泉的行为与均匀和抛物线的排放速度在源的配置文件进行了研究。瞬态喷泉流的演变进行了分析,并确定了两个不同的阶段。的喷泉前的通道的时间序列已被提交和初始,临时和最终的特征喷泉高度已被确定,并与弗劳德数在源处缩放。在稳定状态下,最终的喷泉高度和喷泉宽度被发现是高度和水平长度尺度,提供了完整的参数化的流动在喷泉核心。对称轴上的垂直速度和温度与高度尺度成比例,前者也得到了显式的相关性。用这两种长度尺度对稳态下喷泉核心自相似区中垂直和水平速度的径向分布进行了标度,得到了经验关联式。
The weak axisymmetric fountain that results from the injection of a dense fluid upwards into a large container of homogeneous fluid of lower density is studied numerically. Using a time-accurate finite volume code, the behaviour of fountains with both a uniform and a parabolic profile of the discharge velocity at the source has been investigated. The evolution of the transient fountain flow has been analysed and two distinct stages have been identified. The time series of the passage of the fountain front has been presented and the initial, temporary and final characteristic fountain heights have been determined and scaled with the Froude number at the source. At steady state, the final fountain height and the fountain width are found to be the height and horizontal length scales which provide the full parameterization of the flow in the fountain core. The vertical velocity and temperature on the symmetry axis have been scaled with the height scale and an explicit correlation is also obtained for the former. The radial distributions of both the vertical and horizontal velocities in the zone of self-similarity in the fountain core at steady state have been scaled with the two length scales and empirical correlations have been obtained.
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发表时间: 1990-03
影响因子: 3.7
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