Penetration height of weak axisymmetric fountain in homogeneous fluid under the combined temperature and salinity effect

Penetration height of weak axisymmetric fountain in homogeneous fluid under the combined temperature and salinity effect
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温盐联合作用下均匀流体弱轴对称喷泉的穿透高度

DOI:
10.1063/5.0077345
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发表时间:
2022-03
期刊:
影响因子:
1.6
通讯作者:
Jingjin Li
Jingjin Li
中科院分区:
材料科学4区
文献类型:
--
作者:
Yaowen Xia;Wenfeng Gao;Tao Liu;W Enxian Lin;Qiong Li;Jingjin Li

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温度和盐度综合作用下的喷泉在环境和工业环境中很常见。通过二维直接数值模拟研究了温度和盐度联合效应下弱轴对称喷泉的行为,范围为 0.25 ≤ Fr T ≤ 2.0 和 -0.75 ≤ N ≤ 5.0,其中 Fr T 是仅基于温度的弗劳德数,N 是浮力比,量化了盐度与温度对密度的贡献率。结果表明,对于每个 Fr T ,当 N 增加时,随着温度和盐度引起的组合负浮力的增强,初始和时间平均最大喷泉高度都减小,而随着 Fr T 的增加,它们随着总体负浮力的减小而增加。如果使用基于温度和盐度综合贡献的密度的总体弗劳德数 Fr 代替 Fr T ,则密度仅来自温度的弱轴对称喷泉的现有标度关系也适用于 Fr ≲ 2.0 时温盐综合效应下的弱轴对称喷泉,尽管由于共存盐度的额外影响,它们的量化相关性略有差异。进一步表明,共存盐度的影响使密度为 2.0 ≲ Fr ≲ 4.0 的中间喷泉的标度关系从仅由温度和盐度共同影响的 Fr ≲ 2.0 弱喷泉的标度关系的一个贡献者转变,进一步显示了盐度的附加影响。
Fountains under combined temperature and salinity effect are common in environmental and industrial settings. The behavior of weak axisymmetric fountains under combined temperature and salinity effect is studied with two-dimensional direct numerical simulations over 0.25 ≤ Fr T ≤ 2.0 and −0.75 ≤ N ≤ 5.0, where Fr T is the Froude number based on temperature only and N is the buoyancy ratio quantifying the ratio of salinity to temperature contributed to density. The results show that for each Fr T , both the initial and time-average maximum fountain heights decrease when N increases as the combined negative buoyancy due to both temperature and salinity is strengthened, whereas as Fr T increases, they increase as the overall negative buoyancy reduces. If the overall Froude number, Fr, which is based on density due to the combined temperature and salinity contributions, is used instead of Fr T , the existing scaling relations for weak axisymmetric fountains with density coming from temperature only are also applicable for the weak axisymmetric fountains under the combined temperature and salinity effect when Fr ≲ 2.0, although there are slight differences in their quantified correlations due to the extra effect from the co-existing salinity. It is further shown that the effect from the co-existing salinity shifts the scaling relation for intermediate fountains with 2.0 ≲ Fr ≲ 4.0 with density from only one contributor to the scaling relation for weak fountains with Fr ≲ 2.0 with density coming from both temperature and salinity, further showing the additional effect of salinity.
均匀流体中弱轴对称喷泉的直接模拟
DOI: 10.1017/s0022112099006953
发表时间: 2000-01
期刊: J.Fluid Mech.
影响因子: --
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