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How boundary slip controls emergent Darcy flow of liquids in tortuous and in capillary pores.
Physical Review E ( IF 2.2 ) Pub Date : 2020-07-06 , DOI: 10.1103/physreve.102.013101 Kuldeep Singh 1
Physical Review E ( IF 2.2 ) Pub Date : 2020-07-06 , DOI: 10.1103/physreve.102.013101 Kuldeep Singh 1
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Fundamental investigations of how boundary slip relative to the no-slip condition for liquid flow in a set of two distinct idealized pore geometries, i.e., a diverging-converging tortuous pore, in contrast to a straight tube capillary pore, contribute to emergent Darcy flow and flow enhancement are presented. Using steady-state solutions to Navier-Stokes equations, a sensitivity study investigates the role of (a) a large variation in boundary slip reported in the literature, and (b) a large variation in pore-throat sizes found in geologic porous media. Results show that both the pore geometry and their pore-throat sizes contribute to differences over several orders of magnitude in the emergent Darcy flow behavior and the flow enhancement. Tortuous pores contribute to a lower flow enhancement relative to the capillary pores, and while the larger pore throats (i.e., ) negligibly enhance flow, it increasingly becomes significant for the micron-size pore throats. From capillary pores, flow enhancement is found to increases linearly in an unlimited manner with an increment in boundary slip relative to the no-slip condition. In contrast, flow enhancement from diverging-converging tortuous pores is found to get limited defined by an asymptote for flows with a larger boundary slip. Capillary pores offer no change in resistance to flow due to boundary slip. In contrast, the very nature of diverging-converging tortuous pore geometry offers growth in drag forces and energy dissipation rate, i.e., an increase in resistance to flow, which contributes to the asymptote or the limited flow enhancement. A set of theoretical models are presented, which can be used to predict the flow enhancement as a function of boundary slip and spatial-scale of pore throats. This study may have implications for predicting flow enhancement and pressure loss during fluid injection or recovery from low permeability geologic reservoirs, and relevant to other engineering applications, e.g., hydraulics in corrugated channels or design of carbon nanotube membranes for desalinization purposes.
中文翻译：
边界滑动如何控制在曲折和毛细孔中出现的达西液流。
关于在两个截然不同的理想孔几何形状（即发散的曲折孔，与直管毛细管孔不同）中的边界相对于液体流动的无滑条件的基础研究，如何促进达西流和提出了流量增强。使用针对Navier-Stokes方程的稳态解，敏感性研究调查了以下因素的作用：（a）文献中报道的边界滑移的大变化，以及（b）在地质多孔介质中发现的孔喉尺寸的大变化。结果表明，孔的几何形状及其孔喉尺寸均导致出现的达西流动行为和流动增强在几个数量级上产生差异。相对于毛细孔，曲折的毛孔有助于降低流量，）可以忽略不计的增强流量，对于微米级的孔喉而言，流量变得越来越重要。从毛细孔中发现，流量增强以无限制的方式线性增加，并且相对于无滑移条件，边界滑移增加。相比之下，发散的曲折孔隙引起的流动增强受到渐近线的限制，而渐近线对于具有较大边界滑移的流动是有限的。毛细管孔隙不会因边界滑动而改变流动阻力。相反，发散-收敛的曲折孔几何形状的本质提供了阻力和能量耗散率的增长，即流动阻力的增加，这有助于渐近线或有限的流动增强。提出了一套理论模型，可以用来预测流动增强与边界滑动和孔喉空间尺度的函数关系。这项研究可能对预测低渗地质储层注水或采油过程中的流动增强和压力损失具有重要意义，并且与其他工程应用有关，例如波纹通道中的液压系统或用于脱盐目的的碳纳米管膜设计。
更新日期：2020-07-06
中文翻译：
边界滑动如何控制在曲折和毛细孔中出现的达西液流。
关于在两个截然不同的理想孔几何形状（即发散的曲折孔，与直管毛细管孔不同）中的边界相对于液体流动的无滑条件的基础研究，如何促进达西流和提出了流量增强。使用针对Navier-Stokes方程的稳态解，敏感性研究调查了以下因素的作用：（a）文献中报道的边界滑移的大变化，以及（b）在地质多孔介质中发现的孔喉尺寸的大变化。结果表明，孔的几何形状及其孔喉尺寸均导致出现的达西流动行为和流动增强在几个数量级上产生差异。相对于毛细孔，曲折的毛孔有助于降低流量，）可以忽略不计的增强流量，对于微米级的孔喉而言，流量变得越来越重要。从毛细孔中发现，流量增强以无限制的方式线性增加，并且相对于无滑移条件，边界滑移增加。相比之下，发散的曲折孔隙引起的流动增强受到渐近线的限制，而渐近线对于具有较大边界滑移的流动是有限的。毛细管孔隙不会因边界滑动而改变流动阻力。相反，发散-收敛的曲折孔几何形状的本质提供了阻力和能量耗散率的增长，即流动阻力的增加，这有助于渐近线或有限的流动增强。提出了一套理论模型，可以用来预测流动增强与边界滑动和孔喉空间尺度的函数关系。这项研究可能对预测低渗地质储层注水或采油过程中的流动增强和压力损失具有重要意义，并且与其他工程应用有关，例如波纹通道中的液压系统或用于脱盐目的的碳纳米管膜设计。
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