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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2010, Volume 51, Issue 1, Pages 62–74 (Mi pmtf1563)  
This article is cited in 3 scientific papers (total in 3 papers)

Formulation and solution of the problem of the stability of a cohesionless channel bottom

A. G. Petrova, I. I. Potapovb

a Institute of Applied Mechanics, Russian Academy of Sciences, Moscow, 119526, Russia
b Computer Center, Far East Division, Russian Academy of Sciences, Khabarovsk, 680000, Russia
Full-text PDF (270 kB) Citations (3)
Abstract: The problem of the stability of the sandy bottom of a rectangular channel with respect to spatially onedimensional perturbations is formulated. The channel stability problem is solved using the sediment discharge formula modified by taking into account the effect of free-surface perturbations on sediment transport. Analytic dependences of the propagation velocity of bottom perturbations on time are obtained for small Froude numbers. Wavelengths for the most rapidly growing bottom perturbations are obtained analytically, and the problem of the evolution of a single bottom perturbation is solved.
Keywords: sediment discharge, sandy bottom of channel, channel stability.
Received: 30.01.2009
Accepted: 11.03.2009
English version:
Journal of Applied Mechanics and Technical Physics, 2010, Volume 51, Issue 1, Pages 51–61
DOI: https://doi.org/10.1007/s10808-010-0008-z
Bibliographic databases:
Document Type: Article
UDC: 532.545
Language: Russian
Citation: A. G. Petrov, I. I. Potapov, “Formulation and solution of the problem of the stability of a cohesionless channel bottom”, Prikl. Mekh. Tekh. Fiz., 51:1 (2010), 62–74; J. Appl. Mech. Tech. Phys., 51:1 (2010), 51–61
Citation in format AMSBIB
\Bibitem{PetPot10}
\by A.~G.~Petrov, I.~I.~Potapov
\paper Formulation and solution of the problem of the stability of a cohesionless channel bottom
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2010
\vol 51
\issue 1
\pages 62--74
\mathnet{http://mi.mathnet.ru/pmtf1563}
\elib{https://elibrary.ru/item.asp?id=13026107}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2010
\vol 51
\issue 1
\pages 51--61
\crossref{https://doi.org/10.1007/s10808-010-0008-z}
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  • https://www.mathnet.ru/eng/pmtf1563
  • https://www.mathnet.ru/eng/pmtf/v51/i1/p62
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
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