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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2010, Volume 51, Issue 5, Pages 88–94 (Mi pmtf1644)  
This article is cited in 2 scientific papers (total in 2 papers)

Spreading of the liquid over the surface with penetration into the soil

V. Sh. Shagapova, S. A. Gilmanovb

a Institute of Mechanics, Ufa Scientific Center, Russian Academy of Sciences, Ufa, 450025, Russia
b Department of Ufa's State Aviation Technical University in Sterlitamak
Full-text PDF (277 kB) Citations (2)
Abstract: A semi-empirical theory of liquid spreading induced by the gravity force and accompanied by penetration into the soil is constructed in a quasi-one-dimensional approximation. Some specific features of spreading with allowance for the vegetation type are considered. Under the assumption that the dependence of the resistance force on the spreading velocity is linear or quadratic, the system of equations of liquid motion on the surface with dense and scarce vegetation is reduced to one nonlinear equation. Approximate analytical solutions for constant-power sources are obtained. A situation with no plants on the surface (i.e., the hydraulic resistance of the surface is determined by specific features of the soil) is analyzed.
Keywords: spreading, penetration, Manning law, inertialess approximation, vegetation.
Received: 10.06.2008
Accepted: 10.08.2009
English version:
Journal of Applied Mechanics and Technical Physics, 2010, Volume 51, Issue 5, Pages 693–698
DOI: https://doi.org/10.1007/s10808-010-0089-8
Bibliographic databases:
Document Type: Article
UDC: 539.532
Language: Russian
Citation: V. Sh. Shagapov, S. A. Gilmanov, “Spreading of the liquid over the surface with penetration into the soil”, Prikl. Mekh. Tekh. Fiz., 51:5 (2010), 88–94; J. Appl. Mech. Tech. Phys., 51:5 (2010), 693–698
Citation in format AMSBIB
\Bibitem{ShaGil10}
\by V.~Sh.~Shagapov, S.~A.~Gilmanov
\paper Spreading of the liquid over the surface with penetration into the soil
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2010
\vol 51
\issue 5
\pages 88--94
\mathnet{http://mi.mathnet.ru/pmtf1644}
\elib{https://elibrary.ru/item.asp?id=15234923}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2010
\vol 51
\issue 5
\pages 693--698
\crossref{https://doi.org/10.1007/s10808-010-0089-8}
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  • https://www.mathnet.ru/eng/pmtf/v51/i5/p88
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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