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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2010, Volume 51, Issue 1, Pages 62–74
(Mi pmtf1563)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/pmtf1563 https://www.mathnet.ru/eng/pmtf/v51/i1/p62
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