Longitudinal Thermocapillary Flow over a Dense Bubble Mattress

DOI10.1137/19M1252351zbMath1427.76057WikidataQ126418303 ScholiaQ126418303MaRDI QIDQ5207541

Ehud Yariv, Darren G. Crowdy

Publication date: 3 January 2020

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

conformal mappingmatched asymptotic expansionsthermocapillary flowlubrication approximationsuperhydrophobic surfacesbubble mattress

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Stokes and related (Oseen, etc.) flows (76D07) Conformal mappings of special domains (30C20) Capillarity (surface tension) for incompressible viscous fluids (76D45) Complex variables methods applied to problems in fluid mechanics (76M40)

Related Items (4)

Shear flow over a surface containing a groove covered by an incompressible surfactant phase ⋮ Thermocapillary stress and meniscus curvature effects on slip lengths in ridged microchannels ⋮ A nematic liquid crystal with an immersed body: equilibrium, stress and paradox ⋮ Linear instability of lid- and pressure-driven flows in channels textured with longitudinal superhydrophobic grooves

Cites Work

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• The importance of being thin
• Flows satisfying mixed no-slip and no-shear conditions
• A transform method for Laplace's equation in multiply connected circular domains
• The motion of bubbles in a vertical temperature gradient
• Effective slip in pressure-driven Stokes flow
• Thermocapillary flow between longitudinally grooved superhydrophobic surfaces
• Slip length for longitudinal shear flow over a dilute periodic mattress of protruding bubbles
• Achieving large slip with superhydrophobic surfaces: Scaling laws for generic geometries
• Geometric transition in friction for flow over a bubble mattress
• Slip length for longitudinal shear flow over an arbitrary-protrusion-angle bubble mattress: the small-solid-fraction singularity

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