Height and stability of laminar plane fountains in a homogeneous fluid

Height and stability of laminar plane fountains in a homogeneous fluid
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均匀流体中层流平面喷泉的高度和稳定性

DOI:
10.1016/j.ijheatmasstransfer.2008.02.022
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发表时间:
2008-09
影响因子:
5.2
通讯作者:
S. W. Armfield
S. W. Armfield
中科院分区:
工程技术2区
文献类型:
--
作者:
G. D. McBain;N. Srinarayana;林文贤;S. W. Armfield

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平面喷泉的行为,从注入一个更密集的流体向上进入一个大的身体的一个较轻的均匀流体,数值研究。本文对均匀入口速度、雷诺数Re = 100、普朗特数Pr = 7、弗劳德数0.25 <$Fr <$10.0的喷泉的瞬态特性进行了数值研究。在目前的情况下,密度变化是喷泉和周围流体之间的温差的结果。确定了三种不同的制度:0.25 Fr 2.0的稳定和对称喷泉,2.25 Fr 3.0的周期性横向振荡的非稳定喷泉,以及Fr 4.0的非周期性横向振荡的非稳定喷泉。根据经验发现,无量纲喷泉高度zm在这些区域中的每一个中随弗劳德数不同地缩放;在稳定和对称区域zm <$Fr中,在非稳定和周期性横向振荡区域zm <$Fr 1.15中,以及在非稳定和非周期性横向振荡区域zm <$Fr 4/3中。结果与以前的数值和实验结果进行了比较,在可用的情况下,是一致的。
The behaviour of plane fountains, resulting from the injection of a denser fluid upwards into a large body of a lighter homogeneous fluid, is investigated numerically. The transient behaviour of fountains with a uniform inlet velocity, Reynolds number Re=100, Prandtl number Pr=7, and Froude number 0.25⩽Fr⩽10.0 is studied numerically. In the present case, the density variation is as a result of temperature difference between the fountain and the ambient fluids. Three distinct regimes are identified; steady and symmetric fountains for 0.25⩽Fr⩽2.0, unsteady fountains with periodic lateral oscillation for 2.25⩽Fr⩽3.0, and unsteady fountains with aperiodic lateral oscillations for Fr⩾4.0. It is found empirically that the non-dimensional fountain height, zm, scales differently with Froude number in each of these regimes; in the steady and symmetric region zm∼Fr, in the unsteady and periodic lateral oscillation region zm∼Fr1.15and in the unsteady and aperiodic lateral oscillation region zm∼Fr4/3. The results are compared with previous numerical and experimental results, where available and are consistent.
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