Weak fountains in a stratified fluid.
Weak fountains in a stratified fluid.
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DOI：
10.1103/physreve.66.066308
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发表时间：
2002-12
期刊：
影响因子：
--
通讯作者：
Wenxian Lin;S. Armfield
中科院分区：
文献类型：
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作者：
Wenxian Lin;S. Armfield
通过尺寸分析、比例分析和直接数值模拟，研究了由于将较稠密的流体向上注入含有稳定分层流体的大型容器而产生的弱轴对称和平面喷泉的行为。对于弗劳德数 Fr 约为 1.0 的弱喷泉，使用量纲和标度分析来推导无量纲喷泉高度、宽度、温度层厚度以及以弗劳德数 Fr、雷诺数 Re、普朗特数 Pr 和环境分层数 s 表示的发展时间的标度关系。对轴对称和平面喷泉的一系列 Fr、Re、Pr 和 s 进行了数值模拟，以验证和量化通过尺寸和比例分析获得的比例关系。已发现数值结果与解析标度关系非常吻合。
The behavior of weak axisymmetric and plane fountains resulting from the injection of denser fluid upwards into large containers containing a stably stratified fluid has been explored using dimensional analysis, scaling analysis, and direct numerical simulation. For weak fountains, with Froude number Fr approximately 1.0, dimensional and scaling analyses have been used to derive scaling relations for the dimensionless fountain height, width, thickness of the temperature layer, and development times in terms of the Froude number Fr, Reynolds number Re, Prandtl number Pr, and ambient stratification number s. Numerical simulations have been carried out for a series of Fr, Re, Pr, and s for both axisymmetric and plane fountains to validate and quantify the scaling relations obtained by the dimensional and scaling analyses. The numerical results have been found to agree well with the analytical scaling relations.