A Study on Darcy versus Forchheimer Models for Flow through Heterogeneous Landfills including Macropores
Flow through heterogeneous landfills that include macropores may occur under Reynolds numbers higher than those where Darcy’s law is valid. Extensions, such as a Forchheimer approach, may be required to include inertial effects. Our aim is developing predictive models for such landfills that are bui...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-02-01
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| Series: | Water |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2073-4441/14/4/546 |
| _version_ | 1797475949686554624 |
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| author | Roman Winter Archontoula Valsamidou Holger Class Bernd Flemisch |
| author_facet | Roman Winter Archontoula Valsamidou Holger Class Bernd Flemisch |
| author_sort | Roman Winter |
| collection | DOAJ |
| description | Flow through heterogeneous landfills that include macropores may occur under Reynolds numbers higher than those where Darcy’s law is valid. Extensions, such as a Forchheimer approach, may be required to include inertial effects. Our aim is developing predictive models for such landfills that are built from the low-level radioactive waste and debris of dismantled nuclear power plants. It consists of different materials, which after crushing result in a spatially heterogeneous distribution of porous-media properties in the landfills. Rain events or leakage, for example, may wash out radionuclides and transport them with the water flow. We investigate here the water flow and consider an inclusion of macropores. To deal with possibly high velocities, we choose the Forchheimer model and, taking different Forchheimer coefficients into account, compare it to the Darcy model. The focal points of the study are (i) the influence of the macropores on the flow field and (ii) the impact of the choice of the Forchheimer coefficient both on the solution and the computational effort. The results show that dependent on their size, macropores can dominate the flow field. Furthermore, Forchheimer coefficients introducing more inertial effects are associated with considerably higher runtimes. |
| first_indexed | 2024-03-09T20:52:04Z |
| format | Article |
| id | doaj.art-ec69eb61c20a4d828dbb9a8ad9484127 |
| institution | Directory Open Access Journal |
| issn | 2073-4441 |
| language | English |
| last_indexed | 2024-03-09T20:52:04Z |
| publishDate | 2022-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Water |
| spelling | doaj.art-ec69eb61c20a4d828dbb9a8ad94841272023-11-23T22:33:41ZengMDPI AGWater2073-44412022-02-0114454610.3390/w14040546A Study on Darcy versus Forchheimer Models for Flow through Heterogeneous Landfills including MacroporesRoman Winter0Archontoula Valsamidou1Holger Class2Bernd Flemisch3Institute for Modelling Hydraulic and Environmental Systems, University of Stuttgart, 70569 Stuttgart, GermanyInstitute for Modelling Hydraulic and Environmental Systems, University of Stuttgart, 70569 Stuttgart, GermanyInstitute for Modelling Hydraulic and Environmental Systems, University of Stuttgart, 70569 Stuttgart, GermanyInstitute for Modelling Hydraulic and Environmental Systems, University of Stuttgart, 70569 Stuttgart, GermanyFlow through heterogeneous landfills that include macropores may occur under Reynolds numbers higher than those where Darcy’s law is valid. Extensions, such as a Forchheimer approach, may be required to include inertial effects. Our aim is developing predictive models for such landfills that are built from the low-level radioactive waste and debris of dismantled nuclear power plants. It consists of different materials, which after crushing result in a spatially heterogeneous distribution of porous-media properties in the landfills. Rain events or leakage, for example, may wash out radionuclides and transport them with the water flow. We investigate here the water flow and consider an inclusion of macropores. To deal with possibly high velocities, we choose the Forchheimer model and, taking different Forchheimer coefficients into account, compare it to the Darcy model. The focal points of the study are (i) the influence of the macropores on the flow field and (ii) the impact of the choice of the Forchheimer coefficient both on the solution and the computational effort. The results show that dependent on their size, macropores can dominate the flow field. Furthermore, Forchheimer coefficients introducing more inertial effects are associated with considerably higher runtimes.https://www.mdpi.com/2073-4441/14/4/546Forchheimermacroporesheterogeneous landfills |
| spellingShingle | Roman Winter Archontoula Valsamidou Holger Class Bernd Flemisch A Study on Darcy versus Forchheimer Models for Flow through Heterogeneous Landfills including Macropores Water Forchheimer macropores heterogeneous landfills |
| title | A Study on Darcy versus Forchheimer Models for Flow through Heterogeneous Landfills including Macropores |
| title_full | A Study on Darcy versus Forchheimer Models for Flow through Heterogeneous Landfills including Macropores |
| title_fullStr | A Study on Darcy versus Forchheimer Models for Flow through Heterogeneous Landfills including Macropores |
| title_full_unstemmed | A Study on Darcy versus Forchheimer Models for Flow through Heterogeneous Landfills including Macropores |
| title_short | A Study on Darcy versus Forchheimer Models for Flow through Heterogeneous Landfills including Macropores |
| title_sort | study on darcy versus forchheimer models for flow through heterogeneous landfills including macropores |
| topic | Forchheimer macropores heterogeneous landfills |
| url | https://www.mdpi.com/2073-4441/14/4/546 |
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