A Unified General Resistance Formula for Uniform Coarse Porous Media
Many authors studied the nonlinear relationship between seepage velocity and hydraulic gradient in coarse granular materials. They managed different approaches and variables to define the resistance formula applicable to that type of granular media. Based on the analysis of the different approaches...
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| Language: | English |
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MDPI AG
2023-10-01
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| Series: | Water |
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| Online Access: | https://www.mdpi.com/2073-4441/15/20/3578 |
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| author | Juan Carlos López Miguel Ángel Toledo Rafael Moran Luis Balairón |
| author_facet | Juan Carlos López Miguel Ángel Toledo Rafael Moran Luis Balairón |
| author_sort | Juan Carlos López |
| collection | DOAJ |
| description | Many authors studied the nonlinear relationship between seepage velocity and hydraulic gradient in coarse granular materials. They managed different approaches and variables to define the resistance formula applicable to that type of granular media. Based on the analysis of the different approaches and experimental data obtained by the corresponding authors, we propose a unified general seepage equation applicable to large-sized granular materials. Such an equation gives unity to the main nonlinear resistance formulas developed to date. Particularly relevant are the conclusions regarding the relationship of the linear (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mrow><mi>α</mi></mrow><mrow><mi>*</mi></mrow></msup></mrow></semantics></math></inline-formula>) and quadratic (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mrow><mi>β</mi></mrow><mrow><mi>*</mi></mrow></msup></mrow></semantics></math></inline-formula>) dimensionless coefficients of the resistance formula with the representative size of the particle and the geometrical features of the porous materials. |
| first_indexed | 2024-03-10T20:48:41Z |
| format | Article |
| id | doaj.art-3f39beebfea84ded965314b457582db3 |
| institution | Directory Open Access Journal |
| issn | 2073-4441 |
| language | English |
| last_indexed | 2024-03-10T20:48:41Z |
| publishDate | 2023-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Water |
| spelling | doaj.art-3f39beebfea84ded965314b457582db32023-11-19T18:29:43ZengMDPI AGWater2073-44412023-10-011520357810.3390/w15203578A Unified General Resistance Formula for Uniform Coarse Porous MediaJuan Carlos López0Miguel Ángel Toledo1Rafael Moran2Luis Balairón3Department of Civil Engineering: Hydraulics, Energy and Environment, SERPA Dam Safety Research Group E.T.S. de Ingenieros de Caminos Canales y Puertos, Universidad Politécnica de Madrid (UPM), Profesor Aranguren, s/n, 28040 Madrid, SpainDepartment of Civil Engineering: Hydraulics, Energy and Environment, SERPA Dam Safety Research Group E.T.S. de Ingenieros de Caminos Canales y Puertos, Universidad Politécnica de Madrid (UPM), Profesor Aranguren, s/n, 28040 Madrid, SpainDepartment of Civil Engineering: Hydraulics, Energy and Environment, SERPA Dam Safety Research Group E.T.S. de Ingenieros de Caminos Canales y Puertos, Universidad Politécnica de Madrid (UPM), Profesor Aranguren, s/n, 28040 Madrid, SpainHydraulics Laboratory, Centro de Estudios Hidrográficos, Centro de Estudios y Experimentación de Obras Públicas (CEDEX), 28005 Madrid, SpainMany authors studied the nonlinear relationship between seepage velocity and hydraulic gradient in coarse granular materials. They managed different approaches and variables to define the resistance formula applicable to that type of granular media. Based on the analysis of the different approaches and experimental data obtained by the corresponding authors, we propose a unified general seepage equation applicable to large-sized granular materials. Such an equation gives unity to the main nonlinear resistance formulas developed to date. Particularly relevant are the conclusions regarding the relationship of the linear (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mrow><mi>α</mi></mrow><mrow><mi>*</mi></mrow></msup></mrow></semantics></math></inline-formula>) and quadratic (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mrow><mi>β</mi></mrow><mrow><mi>*</mi></mrow></msup></mrow></semantics></math></inline-formula>) dimensionless coefficients of the resistance formula with the representative size of the particle and the geometrical features of the porous materials.https://www.mdpi.com/2073-4441/15/20/3578porous mediaseepagecoarse materialthrough-flow |
| spellingShingle | Juan Carlos López Miguel Ángel Toledo Rafael Moran Luis Balairón A Unified General Resistance Formula for Uniform Coarse Porous Media Water porous media seepage coarse material through-flow |
| title | A Unified General Resistance Formula for Uniform Coarse Porous Media |
| title_full | A Unified General Resistance Formula for Uniform Coarse Porous Media |
| title_fullStr | A Unified General Resistance Formula for Uniform Coarse Porous Media |
| title_full_unstemmed | A Unified General Resistance Formula for Uniform Coarse Porous Media |
| title_short | A Unified General Resistance Formula for Uniform Coarse Porous Media |
| title_sort | unified general resistance formula for uniform coarse porous media |
| topic | porous media seepage coarse material through-flow |
| url | https://www.mdpi.com/2073-4441/15/20/3578 |
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