Convection and heat transfer in layered sloping warm-water aquifers
What convective flow is induced if a geologically-tratified groundwater aquifer is subject to a vertical temperature gradient? How strong is the flow? What is the nett heat transfer? Is the flow stable? How does the convection affect the subsequent species distribution if a pollutant finds its way i...
| Main Authors: | , , , |
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| Format: | Journal article |
| Published: |
2010
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| _version_ | 1797084951763484672 |
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| author | McKibbin, R Hale, N Style, R Walters, N |
| author_facet | McKibbin, R Hale, N Style, R Walters, N |
| author_sort | McKibbin, R |
| collection | OXFORD |
| description | What convective flow is induced if a geologically-tratified groundwater aquifer is subject to a vertical temperature gradient? How strong is the flow? What is the nett heat transfer? Is the flow stable? How does the convection affect the subsequent species distribution if a pollutant finds its way into the aquifer? This paper begins to address such questions. Quantitative models for buoyancy-driven fluid flow in long, sloping warm-water aquifers with both smoothly- and discretely-layered structures are formulated. The steady-state profiles are calculated for the temperature and for the fluid specific volume flux (Darcy velocity) parallel to the boundaries in a sloping system subjected to a perpendicular temperature gradient, at low Rayleigh numbers. The conducted and advected heat fluxes are compared and it is shown that the system acts somewhat like a heat pipe. The maximum possible ratio of naturally advected-to-conducted heat transfer is determined, together with the corresponding permeability and thermal conductivity profiles. |
| first_indexed | 2024-03-07T02:02:17Z |
| format | Journal article |
| id | oxford-uuid:9dc43388-c585-46aa-8de3-2ec830be5eab |
| institution | University of Oxford |
| last_indexed | 2024-03-07T02:02:17Z |
| publishDate | 2010 |
| record_format | dspace |
| spelling | oxford-uuid:9dc43388-c585-46aa-8de3-2ec830be5eab2022-03-27T00:45:27ZConvection and heat transfer in layered sloping warm-water aquifersJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:9dc43388-c585-46aa-8de3-2ec830be5eabMathematical Institute - ePrints2010McKibbin, RHale, NStyle, RWalters, NWhat convective flow is induced if a geologically-tratified groundwater aquifer is subject to a vertical temperature gradient? How strong is the flow? What is the nett heat transfer? Is the flow stable? How does the convection affect the subsequent species distribution if a pollutant finds its way into the aquifer? This paper begins to address such questions. Quantitative models for buoyancy-driven fluid flow in long, sloping warm-water aquifers with both smoothly- and discretely-layered structures are formulated. The steady-state profiles are calculated for the temperature and for the fluid specific volume flux (Darcy velocity) parallel to the boundaries in a sloping system subjected to a perpendicular temperature gradient, at low Rayleigh numbers. The conducted and advected heat fluxes are compared and it is shown that the system acts somewhat like a heat pipe. The maximum possible ratio of naturally advected-to-conducted heat transfer is determined, together with the corresponding permeability and thermal conductivity profiles. |
| spellingShingle | McKibbin, R Hale, N Style, R Walters, N Convection and heat transfer in layered sloping warm-water aquifers |
| title | Convection and heat transfer in layered sloping warm-water
aquifers |
| title_full | Convection and heat transfer in layered sloping warm-water
aquifers |
| title_fullStr | Convection and heat transfer in layered sloping warm-water
aquifers |
| title_full_unstemmed | Convection and heat transfer in layered sloping warm-water
aquifers |
| title_short | Convection and heat transfer in layered sloping warm-water
aquifers |
| title_sort | convection and heat transfer in layered sloping warm water aquifers |
| work_keys_str_mv | AT mckibbinr convectionandheattransferinlayeredslopingwarmwateraquifers AT halen convectionandheattransferinlayeredslopingwarmwateraquifers AT styler convectionandheattransferinlayeredslopingwarmwateraquifers AT waltersn convectionandheattransferinlayeredslopingwarmwateraquifers |