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|
Control of the Interfacial Instabilities in a circular Hele-Shaw cell oscillating with a periodic angular velocity
Institut Supérieur des Pêches Maritimes – Agadir
2 Laboratory of energy Engineering, Materials and Systems, ENSA, Ibn Zohr University, Agadir, Morocco.
3 LEMTA, UMR CNRS 7563, université de lorraine, France.
The stability of an interface of two viscous immiscible fluids of diﬀerent densities and confined in a Hele-Shaw cell which is oscillating with periodic angular velocityis investigated. A linear stability analysis of the viscous and time-dependent basic flows, generated by a periodic rotation, leads to a time periodic oscillator describing the evolution of the interface amplitude. In this study, we examine mainly the eﬀect of the frequency of the periodic rotation on the interfacial instability that occurs at the interface.
Key words: Hele-Shaw cell / Parametric instability / periodic rotation / Stability analysis
© 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.
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