Slip Backflow of Polymers in Elastic Fractures for Subsurface Heat Recovery
This research delves into the complexities of backflow phenomena in finite-length and flat-walled fractures with elastic walls, specifically focusing on power-law fluids, whose shear-thinning behavior distinguishes them from Newtonian fluids. We model the backflow process under the lubrication appro...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-12-01
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| Series: | Energies |
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| Online Access: | https://www.mdpi.com/1996-1073/16/24/7999 |
| _version_ | 1797381245317939200 |
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| author | Alessandro Lenci Farhad Zeighami Irene Daprà Vittorio Di Federico |
| author_facet | Alessandro Lenci Farhad Zeighami Irene Daprà Vittorio Di Federico |
| author_sort | Alessandro Lenci |
| collection | DOAJ |
| description | This research delves into the complexities of backflow phenomena in finite-length and flat-walled fractures with elastic walls, specifically focusing on power-law fluids, whose shear-thinning behavior distinguishes them from Newtonian fluids. We model the backflow process under the lubrication approximation and by incorporating the linear Navier slip law. We numerically examine the influence of parameters such as slip length, fluid rheology, and external pressure on the backflow propagation of the carrier fluid. Our findings underscore the significant role played by the rheological index in determining the fracture closure rate. Additionally, our investigations highlight the marked effect of external pressure variations on pressure distribution within the fracture. Notably, the friction coefficient at the fracture walls, as denoted by a dimensionless slip number, exhibits limited influence on the fundamental dynamics of the problem. These insights advance our understanding of power-law fluid backflow and have wide-ranging applications across various engineering disciplines. |
| first_indexed | 2024-03-08T20:48:38Z |
| format | Article |
| id | doaj.art-4a81e527ea914dea94d30b0da55bf3ce |
| institution | Directory Open Access Journal |
| issn | 1996-1073 |
| language | English |
| last_indexed | 2024-03-08T20:48:38Z |
| publishDate | 2023-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Energies |
| spelling | doaj.art-4a81e527ea914dea94d30b0da55bf3ce2023-12-22T14:05:45ZengMDPI AGEnergies1996-10732023-12-011624799910.3390/en16247999Slip Backflow of Polymers in Elastic Fractures for Subsurface Heat RecoveryAlessandro Lenci0Farhad Zeighami1Irene Daprà2Vittorio Di Federico3Department of Civil, Chemical, Environmental, and Materials Engineering, Alma Mater Studiorum Università di Bologna, Viale del Risorgimento 2, 40138 Bologna, ItalyDepartment of Civil, Chemical, Environmental, and Materials Engineering, Alma Mater Studiorum Università di Bologna, Viale del Risorgimento 2, 40138 Bologna, ItalyDepartment of Civil, Chemical, Environmental, and Materials Engineering, Alma Mater Studiorum Università di Bologna, Viale del Risorgimento 2, 40138 Bologna, ItalyDepartment of Civil, Chemical, Environmental, and Materials Engineering, Alma Mater Studiorum Università di Bologna, Viale del Risorgimento 2, 40138 Bologna, ItalyThis research delves into the complexities of backflow phenomena in finite-length and flat-walled fractures with elastic walls, specifically focusing on power-law fluids, whose shear-thinning behavior distinguishes them from Newtonian fluids. We model the backflow process under the lubrication approximation and by incorporating the linear Navier slip law. We numerically examine the influence of parameters such as slip length, fluid rheology, and external pressure on the backflow propagation of the carrier fluid. Our findings underscore the significant role played by the rheological index in determining the fracture closure rate. Additionally, our investigations highlight the marked effect of external pressure variations on pressure distribution within the fracture. Notably, the friction coefficient at the fracture walls, as denoted by a dimensionless slip number, exhibits limited influence on the fundamental dynamics of the problem. These insights advance our understanding of power-law fluid backflow and have wide-ranging applications across various engineering disciplines.https://www.mdpi.com/1996-1073/16/24/7999elastic fracturebackflowpower-law fluidNavier slip lawWinkler foundation |
| spellingShingle | Alessandro Lenci Farhad Zeighami Irene Daprà Vittorio Di Federico Slip Backflow of Polymers in Elastic Fractures for Subsurface Heat Recovery Energies elastic fracture backflow power-law fluid Navier slip law Winkler foundation |
| title | Slip Backflow of Polymers in Elastic Fractures for Subsurface Heat Recovery |
| title_full | Slip Backflow of Polymers in Elastic Fractures for Subsurface Heat Recovery |
| title_fullStr | Slip Backflow of Polymers in Elastic Fractures for Subsurface Heat Recovery |
| title_full_unstemmed | Slip Backflow of Polymers in Elastic Fractures for Subsurface Heat Recovery |
| title_short | Slip Backflow of Polymers in Elastic Fractures for Subsurface Heat Recovery |
| title_sort | slip backflow of polymers in elastic fractures for subsurface heat recovery |
| topic | elastic fracture backflow power-law fluid Navier slip law Winkler foundation |
| url | https://www.mdpi.com/1996-1073/16/24/7999 |
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