A numerical study based on a weakly compressible formulation for thermosolutal convection in vertical cavities
A numerical study based on a weakly compressible formulation for thermosolutal convection in vertical cavities
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DOI：
10.1007/s00231-010-0587-5
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发表时间：
2010-03
影响因子：
2.2
通讯作者：
Huahao Sun;G. Lauriat
中科院分区：
文献类型：
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作者：
Huahao Sun;G. Lauriat
对垂直面具有均匀、恒温和质量分数分布的空腔内的层流热溶质对流进行了数值研究。在腔中存在的惰性载气（物质“1”）不溶于物质“2”并且不扩散到壁中的情况下进行研究。物质“2”进入空腔的质量通量发生在热的垂直壁处，而离开空腔的质量通量发生在相对的冷壁处。本文采用弱可压缩模型研究了充有理想气体混合物的空腔内的流场和传热传质问题。无量纲形式的恒定的热物理性质的七个控制方程，除了密度，表明问题的制定涉及十个无量纲参数。结果进行了验证，对纯热对流的文献中发表的数值结果，和瞬态热溶质流动的热力学预测。参数研究已进行调查的初始条件，分子量比，刘易斯数，和腔的纵横比的影响，以帮助或反对浮力。对于所考虑的参数范围内，结果表明，在密度场的变化有更大的影响传质比传热。对于相反的浮力，数值模拟预测复杂的流动结构和可能的混沌行为的矩形垂直腔根据分子量比的值。
Laminar thermosolutal convection in cavities with uniform, constant temperature and mass fraction profiles at the vertical side is studied numerically. The study is conducted in the case where an inert carrier gas (species “1”) present in the cavity is not soluble in species “2”, and do not diffuse into the walls. A mass flux of species “2” into the cavity occurs at the hot vertical wall and a mass flux out of the cavity occurs at the opposite cold wall. The weakly compressible model proposed in this work was used to investigate the flow fields, and heat and mass transfer in cavities filled with binary mixtures of ideal gases. The dimensionless form of the seven governing equations for constant thermophysical properties, except density, show that the problem formulation involves ten dimensionless parameters. The results were validated against numerical results published in the literature for purely thermal convection, and thermodynamic predictions for transient thermosolutal flows. A parametric study has been performed to investigate the effects of the initial conditions, molecular weight ratio, Lewis number, and aspect ratio of the cavity for aiding or opposing buoyancy forces. For the range of parameters considered, the results show that variations in the density field have larger effects on mass transfer than on heat transfer. For opposing buoyancy forces, the numerical simulations predict complex flow structures and possible chaotic behavior for rectangular vertical cavities according to the value of the molecular weight ratio.