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多孔介质中垂直纹理对比下的蒸发与毛细耦合

Evaporation and capillary coupling across vertical textural contrasts in porous media.

作者信息

Lehmann Peter, Or Dani

机构信息

Department of Environmental Sciences, ETH Zürich, Zurich, Switzerland.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2009 Oct;80(4 Pt 2):046318. doi: 10.1103/PhysRevE.80.046318. Epub 2009 Oct 27.

Abstract

High and nearly constant evaporation rates from initially saturated porous media are sustained by capillary-driven flow from receding drying front below the evaporating surface. The spatial extent of continuous liquid pathways in homogeneous porous medium is defined by its hydraulically connected pore size distribution. We consider here evaporative losses from porous media consisting of two hydraulically coupled dissimilar domains each with own pore and particle size distributions separated by sharp vertical textural contrast. Evaporation experiments from texturally dissimilar media were monitored using neutron transmission and dye pattern imaging to quantify water distribution and drying front dynamics. Drying front invades exclusively coarse-textured domain while fine-textured domain remains saturated and its surface continuously coupled with the atmosphere. Results show that evaporation from fine-textured surface was supplied by liquid flow from adjacent coarse domain driven by capillary pressure differences between the porous media. A first characteristic length defining limiting drying front depth during which fine sand region remains saturated is deduced from difference in air-entry pressures of the two porous media. A second characteristic length defining the end of high evaporation rate includes the extent of continuous liquid films pinned in the crevices of the pore space and between particle contacts in the fine medium. We established numerically the lateral extent of evaporation-induced hydraulic coupling that is limited by viscous losses and gravity. For certain combinations of soil types the lateral extent of hydraulic coupling may exceed distances of 10 m. Results suggest that evaporative water losses from heterogeneous and coupled system are larger compared with uncoupled or homogenized equivalent systems.

摘要

最初饱和的多孔介质具有较高且近乎恒定的蒸发速率,这是由蒸发表面下方退缩干燥前沿的毛细驱动流维持的。均匀多孔介质中连续液体通道的空间范围由其水力连通的孔径分布决定。我们在此考虑由两个水力耦合的不同区域组成的多孔介质的蒸发损失,每个区域都有自己的孔径和粒径分布,由明显的垂直质地对比分隔开。使用中子传输和染料图案成像监测质地不同的介质的蒸发实验,以量化水分分布和干燥前沿动态。干燥前沿仅侵入质地较粗的区域,而质地较细的区域保持饱和,其表面与大气持续耦合。结果表明,质地较细表面的蒸发是由相邻粗区域的液体流动提供的,该流动由多孔介质之间的毛细压差驱动。根据两种多孔介质的进气压力差推导出第一个特征长度,该长度定义了细砂区域保持饱和的极限干燥前沿深度。定义高蒸发速率结束的第二个特征长度包括固定在孔隙空间缝隙和细介质中颗粒接触之间的连续液膜的范围。我们通过数值方法确定了受粘性损失和重力限制的蒸发诱导水力耦合的横向范围。对于某些土壤类型的组合,水力耦合的横向范围可能超过10米。结果表明,与未耦合或均质化的等效系统相比,非均质耦合系统的蒸发水分损失更大。

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