Free-Boundary Seepage from Asymmetric Soil Channels
We present an inverse method for the study of the seepage from soil channels without lining. We give integral representations of the complex potential, velocity field, stream lines, free phreatic lines, and contour of the channel by means of Levi-Civitá's function ω. For different values of the...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2012/962963 |
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| author | Adrian Carabineanu |
| author_facet | Adrian Carabineanu |
| author_sort | Adrian Carabineanu |
| collection | DOAJ |
| description | We present an inverse method for the study of the seepage from soil channels without lining. We give integral representations of the complex potential, velocity field, stream lines, free phreatic lines, and contour of the channel by means of Levi-Civitá's function ω. For different values of the Taylor coefficients of ω, we calculate numerically the contour of the channel, the phreatic lines, the seepage loss, the velocity field, the stream lines, and the equipotential lines. Examples are given for various symmetric or asymmetric channels, with smooth contours or with angular points. |
| format | Article |
| id | doaj-art-4cf5596360c743db8e8b4ab0f6c0c74f |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-4cf5596360c743db8e8b4ab0f6c0c74f2025-02-03T01:03:45ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252012-01-01201210.1155/2012/962963962963Free-Boundary Seepage from Asymmetric Soil ChannelsAdrian Carabineanu0Institute of Mathematical Statistics and Applied Mathematics, Romanian Academy, Calea 13 Septembrie 13, 010702 Bucharest, RomaniaWe present an inverse method for the study of the seepage from soil channels without lining. We give integral representations of the complex potential, velocity field, stream lines, free phreatic lines, and contour of the channel by means of Levi-Civitá's function ω. For different values of the Taylor coefficients of ω, we calculate numerically the contour of the channel, the phreatic lines, the seepage loss, the velocity field, the stream lines, and the equipotential lines. Examples are given for various symmetric or asymmetric channels, with smooth contours or with angular points.http://dx.doi.org/10.1155/2012/962963 |
| spellingShingle | Adrian Carabineanu Free-Boundary Seepage from Asymmetric Soil Channels International Journal of Mathematics and Mathematical Sciences |
| title | Free-Boundary Seepage from Asymmetric Soil Channels |
| title_full | Free-Boundary Seepage from Asymmetric Soil Channels |
| title_fullStr | Free-Boundary Seepage from Asymmetric Soil Channels |
| title_full_unstemmed | Free-Boundary Seepage from Asymmetric Soil Channels |
| title_short | Free-Boundary Seepage from Asymmetric Soil Channels |
| title_sort | free boundary seepage from asymmetric soil channels |
| url | http://dx.doi.org/10.1155/2012/962963 |
| work_keys_str_mv | AT adriancarabineanu freeboundaryseepagefromasymmetricsoilchannels |