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Influence of the elastic deformation of a foam on its mobility in channels of linearly varying width

Abstract : We study foam flow in an elementary model porous medium consisting of a convergent and a divergent channel positioned side by side and possessing a fixed joint porosity. Configurations of converging or diverging channels are ubiquitous at the pore scale in porous media, as all channels linking pores possess a converging and diverging part. The resulting flow kinematics imposes asymmetric bubble deformations in the two channels, which modulate foam-wall friction and strongly impact the flux distribution. We measure, as well as quantitatively predict, the ratio of the fluxes in the two channels as a function of the channel widths by modeling pressure drops of both viscous and capillary origins. This study reveals the crucial importance of boundary-induced bubble deformation on the mobility of a flowing foam, resulting in particular in flow irreversibility
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Submitted on : Thursday, September 25, 2014 - 9:22:58 AM
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Benjamin Dollet, Sian Jones, Yves Méheust, Isabelle Cantat. Influence of the elastic deformation of a foam on its mobility in channels of linearly varying width. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, American Physical Society, 2014, 90 (2), pp.art. n°023006. ⟨10.1103/PhysRevE.90.023006⟩. ⟨insu-01068121⟩

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