VERY WEAK FOUNTAINS IN A HOMOGENEOUS FLUID
VERY WEAK FOUNTAINS IN A HOMOGENEOUS FLUID
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DOI：
10.1080/104077800750022520
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发表时间：
2000-09
影响因子：
2
通讯作者：
W. Lin;S. Armfield
中科院分区：
文献类型：
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作者：
W. Lin;S. Armfield
通过量纲分析和直接模拟，研究了由密度较大的流体向上排放到含有密度较低的均匀流体的大容器中所形成的极弱轴对称喷泉和面喷泉的行为。对于非常弱的喷泉，动量通量与浮力通量相比可以忽略不计，流动由浮力和粘度之间的平衡控制。量纲分析表明，喷泉高度、喷泉宽度、对称轴上温度层的厚度以及喷泉芯内喷泉流动达到稳态和温度层充分发育的时间均用弗劳德数、雷诺兹数和普朗特数进行标度。这些比例已经通过直接数值模拟进行了验证和量化。
The behaviour of very weak axisymmetric and plane fountains formed by the discharge of denser fluids upwards into large containers containing a homogeneous fluid of lower density has been studied by dimensional analysis and direct simulations. For very weak fountains, the momentum fluxes are negligible compared with the buoyancy fluxes and the flows are governed by the balance between the buoyancy and the viscosity. Dimensional analysis shows that the fountain height, fountain width, thickness of the temperature layer on the symmetry axis, and the times for the fountain flow in the fountain core to reach steady state and for the temperature layer to be fully developed are scaled by the Froude, Reynolds, and Prandtl numbers. These scalings have been validated and quantified by direct numerical simulations.