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Steady water flow around parabolic cavities and through parabolic inclusions in unsaturated and saturated soils

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dc.contributor.author Kacimov A.
dc.contributor.author Obnosov Y.
dc.date.accessioned 2018-09-17T20:22:12Z
dc.date.available 2018-09-17T20:22:12Z
dc.date.issued 2000
dc.identifier.issn 0022-1694
dc.identifier.uri https://dspace.kpfu.ru/xmlui/handle/net/133409
dc.description.abstract In this paper, we undertake the study of two closely related groundwater flow problems, both two-dimensional, steady and Darcian, and moreover involving parabolic inclusions. First we consider unsaturated flow for which the conductivity depends exponentially on the pressure. Second, we consider saturated flow and an inclusion with a differing, constant, conductivity from the exterior material. We apply the method of separation of variables, conformal mappings, and the Schwarz reflection principle. The distributions of the Kirchhoff potential, specific discharge, and flow net are derived in an explicit analytic form. We show the focusing/diverting properties of a parabola with a more/less permeable interior than the ambient medium, the location of the hinge point and separatrice, and the Maxwell-Philip uniformity of the flow in the interior zone. (C) 2000 Elsevier Science B.V. | In this paper, we undertake the study of two closely related groundwater flow problems, both two-dimensional, steady and Darcian, and moreover involving parabolic inclusions. First we consider unsaturated flow for which the conductivity depends exponentially on the pressure. Second, we consider saturated flow and an inclusion with a differing, constant, conductivity from the exterior material. We apply the method of separation of variables, conformal mappings, and the Schwarz reflection principle. The distributions of the Kirchhoff potential, specific discharge, and flow net are derived in an explicit analytic form. We show the focusing/diverting properties of a parabola with a more/less permeable interior than the ambient medium, the location of the hinge point and separatrice, and the Maxwell-Philip uniformity of the flow in the interior zone.
dc.relation.ispartofseries Journal of Hydrology
dc.subject Capillarity
dc.subject Complex analysis
dc.subject Hermite polynomials
dc.subject Infiltration
dc.subject Refraction
dc.title Steady water flow around parabolic cavities and through parabolic inclusions in unsaturated and saturated soils
dc.type Article
dc.relation.ispartofseries-issue 1-2
dc.relation.ispartofseries-volume 238
dc.collection Публикации сотрудников КФУ
dc.relation.startpage 65
dc.source.id SCOPUS00221694-2000-238-12-SID0034736099


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  • Публикации сотрудников КФУ Scopus [24551]
    Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.

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