Interfacial instability in a time-periodic rotating Hele-Shaw Cell
1 University Hassan II Aïn-Chock, Faculty of Sciences, Laboratory of Mechanics, Casablanca, Morocco
2 Lemta UMR CNRS 7563 Ensem, 2 avenue de la Forêt de Haye, BP 160, Vandoeuvre L`es-Nancy 54504, France
a e-mail: email@example.com
The effect of time-periodic angular velocity on the interfacial instability of two immiscible, viscous fluids of different densities and confined in an annular Hele-Shaw cell is investigated. An inviscid linear stability analysis of the viscous and time dependent basic flow leads to a periodic Mathieu oscillator describing the evolution of the interfacial amplitude. We show that the relevant parameters that control the interface are the Bond number, viscosity ratio, Atwood number and the frequency number.
© Owned by the authors, published by EDP Sciences, 2014
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