The Similarity Hypothesis and New Analytical Support on the Estimation of Horizontal Infiltration into Sand
A method based on a specific power-law relationship between the hydraulic head and the Boltzmann variable, presented using a similarity hypothesis, was recently generalized to a range of powers to satisfy the Bruce and Klute equation exactly. Here, considerations are presented on the proposed simila...
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| Format: | Article |
| Language: | English |
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Wiley
2010-01-01
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| Series: | Applied and Environmental Soil Science |
| Online Access: | http://dx.doi.org/10.1155/2010/657402 |
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| _version_ | 1841524799080235008 |
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| author | Celso L. Prevedello Jocely M. T. Loyola |
| author_facet | Celso L. Prevedello Jocely M. T. Loyola |
| author_sort | Celso L. Prevedello |
| collection | DOAJ |
| description | A method based on a specific power-law relationship between the hydraulic head and the Boltzmann variable, presented using a similarity hypothesis, was recently generalized to a range of powers to satisfy the Bruce and Klute equation exactly. Here, considerations are presented on the proposed similarity assumption, and new analytical support is given to estimate the water density flux into and inside the soil, based on the concept of sorptivity and on Buckingham-Darcy's law. Results show that the new analytical solution satisfies both theories in the calculation of water density fluxes and is in agreement with experimental results of water infiltrating horizontally into sand. However, the utility of this analysis still needs to be verified for a variety of different textured soils having a diverse range of initial soil water contents. |
| format | Article |
| id | doaj-art-b0762499f23b4c5bba2a8b7f3b773e4e |
| institution | Kabale University |
| issn | 1687-7667 1687-7675 |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Applied and Environmental Soil Science |
| spelling | doaj-art-b0762499f23b4c5bba2a8b7f3b773e4e2025-02-03T05:47:21ZengWileyApplied and Environmental Soil Science1687-76671687-76752010-01-01201010.1155/2010/657402657402The Similarity Hypothesis and New Analytical Support on the Estimation of Horizontal Infiltration into SandCelso L. Prevedello0Jocely M. T. Loyola1Soils and Agricultural Engineering Department, Federal University of Paraná Rua dos Funcionários 1540, 80030-035 Curitiba, PR, BrazilCivil Construction Department, Federal University of Paraná, 81531-990 Curitiba, PR, BrazilA method based on a specific power-law relationship between the hydraulic head and the Boltzmann variable, presented using a similarity hypothesis, was recently generalized to a range of powers to satisfy the Bruce and Klute equation exactly. Here, considerations are presented on the proposed similarity assumption, and new analytical support is given to estimate the water density flux into and inside the soil, based on the concept of sorptivity and on Buckingham-Darcy's law. Results show that the new analytical solution satisfies both theories in the calculation of water density fluxes and is in agreement with experimental results of water infiltrating horizontally into sand. However, the utility of this analysis still needs to be verified for a variety of different textured soils having a diverse range of initial soil water contents.http://dx.doi.org/10.1155/2010/657402 |
| spellingShingle | Celso L. Prevedello Jocely M. T. Loyola The Similarity Hypothesis and New Analytical Support on the Estimation of Horizontal Infiltration into Sand Applied and Environmental Soil Science |
| title | The Similarity Hypothesis and New Analytical Support on the Estimation of Horizontal Infiltration into Sand |
| title_full | The Similarity Hypothesis and New Analytical Support on the Estimation of Horizontal Infiltration into Sand |
| title_fullStr | The Similarity Hypothesis and New Analytical Support on the Estimation of Horizontal Infiltration into Sand |
| title_full_unstemmed | The Similarity Hypothesis and New Analytical Support on the Estimation of Horizontal Infiltration into Sand |
| title_short | The Similarity Hypothesis and New Analytical Support on the Estimation of Horizontal Infiltration into Sand |
| title_sort | similarity hypothesis and new analytical support on the estimation of horizontal infiltration into sand |
| url | http://dx.doi.org/10.1155/2010/657402 |
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