Numerical Simulation of Density-Driven Flow and Heat Transport Processes in Porous Media Using the Network Method
Density-driven flow and heat transport processes in 2-D porous media scenarios are governed by coupled, non-linear, partial differential equations that normally have to be solved numerically. In the present work, a model based on the network method simulation is designed and applied to simulate thes...
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| Format: | Article |
| Language: | English |
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MDPI AG
2017-09-01
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| Series: | Energies |
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| Online Access: | https://www.mdpi.com/1996-1073/10/9/1359 |
| _version_ | 1818033422166130688 |
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| author | Manuel Cánovas Iván Alhama Gonzalo García Emilio Trigueros Francisco Alhama |
| author_facet | Manuel Cánovas Iván Alhama Gonzalo García Emilio Trigueros Francisco Alhama |
| author_sort | Manuel Cánovas |
| collection | DOAJ |
| description | Density-driven flow and heat transport processes in 2-D porous media scenarios are governed by coupled, non-linear, partial differential equations that normally have to be solved numerically. In the present work, a model based on the network method simulation is designed and applied to simulate these processes, providing steady state patterns that demonstrate its computational power and reliability. The design is relatively simple and needs very few rules. Two applications in which heat is transported by natural convection in confined and saturated media are studied: slender boxes heated from below (a kind of Bénard problem) and partially heated horizontal plates in rectangular domains (the Elder problem). The streamfunction and temperature patterns show that the results are coherent with those of other authors: steady state patterns and heat transfer depend both on the Rayleigh number and on the characteristic Darcy velocity derived from the values of the hydrological, thermal and geometrical parameters of the problems. |
| first_indexed | 2024-12-10T06:23:01Z |
| format | Article |
| id | doaj.art-5914e431d79244e283a1680a7fb48067 |
| institution | Directory Open Access Journal |
| issn | 1996-1073 |
| language | English |
| last_indexed | 2024-12-10T06:23:01Z |
| publishDate | 2017-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Energies |
| spelling | doaj.art-5914e431d79244e283a1680a7fb480672022-12-22T01:59:16ZengMDPI AGEnergies1996-10732017-09-01109135910.3390/en10091359en10091359Numerical Simulation of Density-Driven Flow and Heat Transport Processes in Porous Media Using the Network MethodManuel Cánovas0Iván Alhama1Gonzalo García2Emilio Trigueros3Francisco Alhama4Metallurgical and Mining Engineering Department, Universidad Católica del Norte, Avda. Angamos, Antofagasta 0610, ChileCivil Engineering Department, Universidad Politécnica de Cartagena, Paseo Alfonso XIII, 52 30203 Cartagena, SpainCivil Engineering Department, Universidad Politécnica de Cartagena, Paseo Alfonso XIII, 52 30203 Cartagena, SpainMining, Geologic and Cartographic Engineering Department, Universidad Politécnica de Cartagena, Paseo Alfonso XIII, 52 30203 Cartagena, SpainApplied Physics Department, Universidad Politécnica de Cartagena, Paseo Alfonso XIII, 52 30203 Cartagena, SpainDensity-driven flow and heat transport processes in 2-D porous media scenarios are governed by coupled, non-linear, partial differential equations that normally have to be solved numerically. In the present work, a model based on the network method simulation is designed and applied to simulate these processes, providing steady state patterns that demonstrate its computational power and reliability. The design is relatively simple and needs very few rules. Two applications in which heat is transported by natural convection in confined and saturated media are studied: slender boxes heated from below (a kind of Bénard problem) and partially heated horizontal plates in rectangular domains (the Elder problem). The streamfunction and temperature patterns show that the results are coherent with those of other authors: steady state patterns and heat transfer depend both on the Rayleigh number and on the characteristic Darcy velocity derived from the values of the hydrological, thermal and geometrical parameters of the problems.https://www.mdpi.com/1996-1073/10/9/1359density driven flowporous mediastreamfunction formulationnetwork methodnatural convection |
| spellingShingle | Manuel Cánovas Iván Alhama Gonzalo García Emilio Trigueros Francisco Alhama Numerical Simulation of Density-Driven Flow and Heat Transport Processes in Porous Media Using the Network Method Energies density driven flow porous media streamfunction formulation network method natural convection |
| title | Numerical Simulation of Density-Driven Flow and Heat Transport Processes in Porous Media Using the Network Method |
| title_full | Numerical Simulation of Density-Driven Flow and Heat Transport Processes in Porous Media Using the Network Method |
| title_fullStr | Numerical Simulation of Density-Driven Flow and Heat Transport Processes in Porous Media Using the Network Method |
| title_full_unstemmed | Numerical Simulation of Density-Driven Flow and Heat Transport Processes in Porous Media Using the Network Method |
| title_short | Numerical Simulation of Density-Driven Flow and Heat Transport Processes in Porous Media Using the Network Method |
| title_sort | numerical simulation of density driven flow and heat transport processes in porous media using the network method |
| topic | density driven flow porous media streamfunction formulation network method natural convection |
| url | https://www.mdpi.com/1996-1073/10/9/1359 |
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