Laminar plane fountains impinging on a ceiling with an opposing heat flux

Laminar plane fountains impinging on a ceiling with an opposing heat flux
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层流平面喷泉以相反的热通量撞击天花板

DOI:
10.1016/j.ijheatmasstransfer.2009.03.015
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发表时间:
2009-09
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:
N. Srinarayana;林文贤;S.W. Armfield

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在Re=50,Pr=7时,数值研究了非定常平面强喷泉在Re=50和Pr=7时撞击天花板的行为。天花板高度在10⩽H/Xin⩽25时变化,其中Xin是喷泉源的半宽,喷泉源和天花板温差的无量纲梯度变化为0.2Hin/(H/Xin)⩽1.8.研究发现,由于天花板附近流体的分层,喷泉并没有击中天花板,而是在距离天花板一定距离处停滞和扩散。标度和直接数值模拟结果表明,在所研究的范围内,扩展扩展距离Hd+Xd具有Hd+Xd∼xF2/9(H/Xin)1/2[Δθ/(H/Xin)]-1/3的比例关系,其中Hd是最大喷泉高度,Xd是在HD测量的扩展距离。
The behaviour of unsteady planar strong fountains, impinging on a ceiling with an opposing heat flux on the ceiling, is investigated numerically for 8.0⩽Fr⩽30.0 at Re=50 and Pr=7. The height of the ceiling is varied in 10⩽H/Xin⩽25, where Xinis the half-width of the fountain source, and the non-dimensional gradient of the temperature difference between the fountain source and the ceiling is varied for 0.2⩽Δθ/(H/Xin)⩽1.8. It is found that the fountain does not hit the ceiling, but instead stagnates and spreads at some distance from the ceiling due to the stratification of the fluids in the immediate vicinity of the ceiling. The scaling and direct numerical simulation results show that the augmented spreading distance Hd+Xdhas the scaling of Hd+Xd∼XinFr2/9(H/Xin)1/2[Δθ/(H/Xin)]-1/3in the range studied, where Hdis the maximum fountain height, Xdis the spreading distance measured at Hd, respectively.
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