Liquid film condensation along a vertical surface in a thin porous medium with large anisotropic permeability.

Liquid film condensation along a vertical surface in a thin porous medium with large anisotropic permeability.
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DOI:
10.1186/2193-1801-3-659
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发表时间:
2014
期刊:
影响因子:
--
通讯作者:
Degan G
Degan G
中科院分区:
其他
文献类型:
--
作者:
Sanya AS;Akowanou C;Sanya EA;Degan G

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本文采用Brinkman-Darcy流动模型,对渗透率各向异性的多孔介质中充满饱和蒸汽的垂直表面上的稳态膜状凝结问题进行了解析研究。各向异性渗透率的主轴方向与重力方向不一致。基于各向异性引起的流动渗透率张量和忽略宏观和微观惯性项的Brinkman-Darcy流动模型,解析求解了多孔液膜动量方程中的边界层近似。尺度分析应用于预测的数量级的顺序参与边界层制度。第一个新的贡献,在数学上包括在使用各向异性渗透率张量内的数学表达式的膜冷凝问题沿着一个垂直的表面嵌入在多孔介质。目前的分析研究表明,各向异性的渗透性能有很大的影响,液膜厚度,冷凝质量流量和表面传热率。并对厚、薄多孔介质进行了比较。
The problems of steady film condensation on a vertical surface embedded in a thin porous medium with anisotropic permeability filled with pure saturated vapour are studied analytically by using the Brinkman-Darcy flow model. The principal axes of anisotropic permeability are oriented in a direction that non-coincident with the gravity force. On the basis of the flow permeability tensor due to the anisotropic properties and the Brinkman-Darcy flow model adopted by considering negligible macroscopic and microscopic inertial terms, boundary-layer approximations in the porous liquid film momentum equation is solved analytically. Scale analysis is applied to predict the order-of-magnitudes involved in the boundary layer regime. The first novel contribution in the mathematics consists in the use of the anisotropic permeability tensor inside the expression of the mathematical formulation of the film condensation problem along a vertical surface embedded in a porous medium. The present analytical study reveals that the anisotropic permeability properties have a strong influence on the liquid film thickness, condensate mass flow rate and surface heat transfer rate. The comparison between thin and thick porous media is also presented.
DOI: 10.1016/s0306-2619(96)00022-0
发表时间: 1997-01-01
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