 | | 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
(print version) |
Archive of Issues
| Total articles in the database: | | 10522 |
| In Russian (ΟΜΜ): | | 9723
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| In English (J. Appl. Math. Mech.): | | 799 |
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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 |
| Link to Fulltext |
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