MATEC Web Conf.
Volume 286, 201914th Congress of Mechanics (CMM2019)
|Number of page(s)||3|
|Section||Fluid Mechanics, Rheology, Modeling, Instabilities and Transition|
|Published online||14 August 2019|
Instability of a viscous interface under horizontal quasi-periodic oscillation
University of Hassan II, Faculty of Sciences Aïn-Chock, Laboratory of Mechanic, B.P. 5366 Maarif, Casablanca, Morocco.
We study the linear stability of two superposed layers of viscous, immiscible fluids of diﬀerent densities. The whole system is subject to horizontal quasi-periodic oscillation with two incommensurates frequencies ω1 and ω2. The spectral method and Floquet’s theory combined with Runge-Kutta method are used to solve numericelly the linear problem. We analyse the influence of the frequencies ratio, on the mariginal stability. The numerical solution shows that the quasi-periodic excitation has a stabilizing or a destabilizing eﬀect on the Kelvin-Helmholtz instability as well as in the parametric resonances depending on the frequency ratio and the amplitudes ratio .
Key words: Linear stability / quasi-periodic oscillation / Runge-Kutta / Floquet’s theory / instability of Kelvin-Helmholtz / parametric resonance.
© The Authors, published by EDP Sciences, 2019
This is an open access article distributed under the terms of the Creative Commons Attribution License 4.0 (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.