A Hybrid-Dimensional Coupled Pore-Network/Free-Flow Model Including Pore-Scale Slip and Its Application to a Micromodel Experiment
| Autor: | Weishaupt, K., Terzis, A., Zarikos, I., Yang, G., Flemisch, B., de Winter, D.A.M., Helmig, R., Environmental hydrogeology, Hydrogeology |
|---|---|
| Přispěvatelé: | Environmental hydrogeology, Hydrogeology |
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Materials science
General Chemical Engineering 0208 environmental biotechnology Microfluidics Free flow 010103 numerical & computational mathematics 02 engineering and technology Slip (materials science) Equidimensional 01 natural sciences Catalysis Physics::Geophysics Physics::Fluid Dynamics Coupling Micromodel Linear scale 0101 mathematics Pore-network model Porosity Hydrogeology Mathematical analysis Porous medium 020801 environmental engineering Chemical Engineering(all) |
| Zdroj: | Transport in Porous Media, 135, 243. Springer Netherlands |
| ISSN: | 0169-3913 |
| Popis: | Modeling 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 βpore required by the slip condition was determined numerically in a preprocessing step. We found a linear scaling behavior of βpore 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. Projekt DEAL Deutsche Forschungsgemeinschaft |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full text from SpringerLink