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Dissipation in quasi-two-dimensional flowing foams

Abstract : The dissipation between two-dimensional (2D) monolayers of bubbles, the so-called quasi-2D foams, and a wall is investigated in two setups: a ''liquid pool'' system, where the foam is confined between a soap solution and a glass coverslip, and a Hele-Shaw cell, where the foam occupies the narrow gap between two plates. This experimental study reports dissipation measurements for mobile gas/liquid interfaces (free shear boundary condition) over a large range of parameters: in the liquid pool system, velocity and bubble area; in the Hele-Shaw cell, velocity and liquid fraction. The effect of the latter quantity is measured for the first time over more than three orders of magnitude. A full comparison between our results and other experimental studies is proposed and enables to rescale all measurements on a single master curve. It shows that for mobile gas/liquid interfaces, the existing models systematically underestimate the dissipation in flowing foams. This is quantified by a discrepancy factor ξ, ratio of the experimental dissipation measurements to the theoretical predictions, which scales as ξ=1.4(RP/A)-0.5 with RP the Plateau border radius and A the bubble area, showing that the discrepancy is higher for dry foams.
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Submitted on : Tuesday, January 31, 2012 - 1:27:57 PM
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Christophe Raufaste, Amandine Foulon, Benjamin Dollet. Dissipation in quasi-two-dimensional flowing foams. Physics of Fluids, American Institute of Physics, 2009, 21 (5), pp.3102. ⟨10.1063/1.3142502⟩. ⟨hal-00664721⟩



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