Dresden 2006 – scientific programme
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CPP: Chemische Physik und Polymerphysik
CPP 20: SYMPOSIUM Microfluidics I: Boundary conditions, manipulation, and transport
CPP 20.9: Talk
Thursday, March 30, 2006, 12:15–12:30, ZEU 160
Vibration dynamics of a bubbly fluid in a channel — •Arthur Straube1 and Sergey Shklyaev2 — 1University of Potsdam, Am Neuen Palais 10, PF 601553, D-14415 Potsdam — 2Department of Mathematics, Technion – Israel Institute of Technology, 32000 Haifa, Israel
We study the behavior of a bubbly fluid in a long channel subjected to small amplitude, high frequency oscillation. Bubbly medium dynamics is described in terms of an averaged model [1]. Evolution of a quiescent liquid with the uniform distribution of bubbles in the channel subjected to transversal vibration is chosen as the initial state. It is demonstrated that the behavior of small bubbles in the channel can be controlled: depending on the vibration frequency, bubbles either migrate to the boundaries of the layer or accumulate into one or more steady stripes parallel to the boundaries; the characteristic width of the stripes depends on the diffusion of the bubbles. We perform a linear stability analysis and prove that such structures are stable up to some critical intensity of vibration action. To understand the dynamics of the system beyond this threshold the full nonlinear system is analyzed numerically.
[1] A.V. Straube, D.V. Lyubimov, S.V. Shklyaev, Averaged dynamics of two-phase media in a vibration field, submitted to Phys. Fluids.