Geometric transition in friction for flow over a bubble mattress

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dc.creatorDavis, Anthony M. J.
dc.creatorLauga, Eric
dc.date2008-12-10
dc.date.accessioned2026-07-07T12:34:21Z
dc.date.available2026-07-07T12:34:21Z
dc.descriptionLaminar flow over a bubble mattress is expected to experience a significant reduction in friction since the individual surfaces of the bubbles are shear-free. However, if the bubbles are sufficiently curved, their protrusion into the fluid and along the flow direction can lead to an increase in friction as was recently demonstrated experimentally and computationally. We provide in this paper a simple model for this result. We consider a shear flow at low Reynolds number past a two-dimensional array of bubbles, and calculate analytically the effective slip length of the surface as function of the bubble geometry in the dilute limit. Our model is able to reproduce quantitatively the relationship between effective friction and bubble geometry obtained in numerical computations, and in particular: (a) The asymmetry in friction between convex and concave bubbles, and (b) the existence of a geometric transition from reduced to enhanced friction at a critical bubble protrusion angle.
dc.identifierhttps://arxiv.org/abs/0812.2004
dc.identifierhttp://arxiv.org/abs/0812.2004
dc.identifierPhys. Fluids (2009) 21, 011701
dc.identifierdoi:10.1063/1.3067833
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/217402
dc.subjectFluid Dynamics
dc.subjectSoft Condensed Matter
dc.titleGeometric transition in friction for flow over a bubble mattress
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