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Moving phreatic surface in a porous slab: An analytical solution

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dc.contributor.author Kacimov A.
dc.contributor.author Yakimov N.
dc.date.accessioned 2018-09-17T20:21:31Z
dc.date.available 2018-09-17T20:21:31Z
dc.date.issued 2001
dc.identifier.issn 0022-0833
dc.identifier.uri https://dspace.kpfu.ru/xmlui/handle/net/133392
dc.description.abstract Transient Darcian flow in an inclined rigid fully saturated porous layer is studied. A phreatic surface of fixed shape driven by uniformly increasing (but generally not equal) water levels in the contiguous reservoirs moves upward with a constant velocity. In a system of coordinates travelling with the reservoir water level the real and imaginary parts of the complex potential (an analytic function) and complex coordinate are linearly interconnected along the boundary of the flow domain that allows implementing the Polubarinova-Kochina method. An explicit analytic equation of the free surface is derived and shown to result in non-trivial configurations including the saturated zone overhanging dry areas.
dc.relation.ispartofseries Journal of Engineering Mathematics
dc.subject Complex potential
dc.subject Free surface
dc.subject Hodograph
dc.subject Polubarinova-kochina
dc.subject Porous media
dc.title Moving phreatic surface in a porous slab: An analytical solution
dc.type Article
dc.relation.ispartofseries-issue 4
dc.relation.ispartofseries-volume 40
dc.collection Публикации сотрудников КФУ
dc.relation.startpage 399
dc.source.id SCOPUS00220833-2001-40-4-SID0035417535


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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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