A Hybrid-Dimensional Coupled Pore-Network/Free-Flow Model Including Pore-Scale Slip and Its Application to a Micromodel Experiment

A Hybrid-Dimensional Coupled Pore-Network/Free-Flow Model Including Pore-Scale Slip and Its Application to a Micromodel Experiment
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包括孔隙尺度滑移的混合维度耦合孔隙网络/自由流动模型及其在微观模型实验中的应用

DOI:
10.1007/s11242-020-01477-y
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发表时间:
2020-09
影响因子:
2.7
通讯作者:
R. Helmig
R. Helmig
中科院分区:
工程技术3区
文献类型:
--
作者:
K. Weishaupt;A. Terzis;I. Zarikos;G. Yang;B. Flemisch;D. A. M. de Winter;R. Helmig

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AbstractModeling coupled systems of free flow adjacent to a porous medium by means of fully resolved Navier–Stokes equations is limited by the immense computational cost and is thus only feasible for relatively small domains. Coupled, hybrid-dimensional models can be much more efficient by simplifying the porous domain, e.g., in terms of a pore-network model. In this work, we present a coupled pore-network/free-flow model taking into account pore-scale slip at the local interfaces between free flow and the pores. We consider two-dimensional and three-dimensional setups and show that our proposed slip condition can significantly increase the coupled model’s accuracy: compared to fully resolved equidimensional numerical reference solutions, the normalized errors for velocity are reduced by a factor of more than five, depending on the flow configuration. A pore-scale slip parameter $$beta _{{{{rm pore}}}}$$.β.pore. required by the slip condition was determined numerically in a preprocessing step. We found a linear scaling behavior of $$beta _{{{{rm pore}}}}$$.β.pore. with the size of the interface pore body for three-dimensional and two-dimensional domains. The slip condition can thus be applied without incurring any run-time cost. In the last section of this work, we used the coupled model to recalculate a microfluidic experiment where we additionally exploited the flat structure of the micromodel which permits the use of a quasi-3D free-flow model. The extended coupled model is accurate and efficient.
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