Journal of Applied Mathematics and Mechanics (about journal) Journal of Applied
Mathematics and Mechanics

Russian Academy of Sciences
 Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
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IssuesArchive of Issues2012-4pp.466-474

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Total articles in the database: 10482
In Russian (ΟΜΜ): 9683
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I.A. Bashkirtseva, A.Yu. Zubarev, L.Yu. Iskakova, and L.B. Ryashko, "Noise-Induced Oscillations in the flow of Concentrated Suspensions," J. Appl. Math. Mech. 76 (4), 466-474 (2012)
Year 2012 Volume 76 Issue 4 Pages 466-474
Title Noise-Induced Oscillations in the flow of Concentrated Suspensions
Author(s) I.A. Bashkirtseva (Ekaterinburg, Russia)
A.Yu. Zubarev (Ekaterinburg, Russia)
L.Yu. Iskakova (Ekaterinburg, Russia)
L.B. Ryashko (Ekaterinburg, Russia, lev.ryashko@usu.ru)
Abstract The flow of a concentrated suspension with an N-shaped dependence of the shear rate on the shear stress applied to the system is investigated. A mathematical model with two dynamic states, a steady-state and an self-oscillatory state, is examined. It is shown that, in the zone of steady-state flows possessing a determinate stability, even small fluctuations in the shear stress can give rise to large amplitude oscillations in the flow rate. These noise-induced oscillations are analysed using the technique of stochastic response functions. Theoretical results using a parametric description of their dispersion are presented for the stochastic flow oscillations observed in the model.
Received 10 May 2011
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