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Computer Research and Modeling, 2015, Volume 7, Issue 5, Pages 1061–1068 (Mi crm278)  

This article is cited in 1 scientific paper (total in 1 paper)

MODELS IN PHYSICS AND TECHNOLOGY

Bottom stability in closed conduits

Yu. G. Krat, I. I. Potapov

Computing Center of Far Eastern Branch Russian Academy of Sciences, 65 Kim-Yu-Chen st., Khabarovsk, 680000, Russia

Abstract: In this paper on the basis of the riverbed model proposed earlier the one-dimensional stability problem of closed flow channel with sandy bed is solved. The feature of the investigated problem is used original equation of riverbed deformations, which takes into account the influence of mechanical and granulometric bed material characteristics and the bed slope when riverbed analyzing. Another feature of the discussed problem is the consideration together with shear stress influence normal stress influence when investigating the river bed instability. The analytical dependence determined the wave length of fast-growing bed perturbations is obtained from the solution of the sandy bed stability problem for closed flow channel. The analysis of the obtained analytical dependence is performed. It is shown that the obtained dependence generalizes the row of well-known empirical formulas: Coleman, Shulyak and Bagnold. The structure of the obtained analytical dependence denotes the existence of two hydrodynamic regimes characterized by the Froude number, at which the bed perturbations growth can strongly or weakly depend on the Froude number. Considering a natural stochasticity of the waves movement process and the presence of a definition domain of the solution with a weak dependence on the Froude numbers it can be concluded that the experimental observation of the of the bed waves movement development should lead to the data acquisition with a significant dispersion and it occurs in reality.

Keywords: bed stability, closed conduit, bed perturbations.

Funding Agency Grant Number
Russian Foundation for Basic Research 15-05-07594
Far Eastern Branch of the Russian Academy of Sciences 15-I-4-070


DOI: https://doi.org/10.20537/2076-7633-2015-7-5-1061-1068

Full text: PDF file (154 kB)
Full text: http://crm.ics.org.ru/.../2371
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UDC: 627.157
Received: 13.10.2014
Revised: 23.08.2015

Citation: Yu. G. Krat, I. I. Potapov, “Bottom stability in closed conduits”, Computer Research and Modeling, 7:5 (2015), 1061–1068

Citation in format AMSBIB
\Bibitem{KraPot15}
\by Yu.~G.~Krat, I.~I.~Potapov
\paper Bottom stability in closed conduits
\jour Computer Research and Modeling
\yr 2015
\vol 7
\issue 5
\pages 1061--1068
\mathnet{http://mi.mathnet.ru/crm278}
\crossref{https://doi.org/10.20537/2076-7633-2015-7-5-1061-1068}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Yu. G. Krat, I. I. Potapov, “Dvizhenie vlekomykh nanosov nad periodicheskim dnom”, Kompyuternye issledovaniya i modelirovanie, 10:1 (2018), 47–60  mathnet  crossref
  • Computer Research and Modeling
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