Pressure-driven plug flows between superhydrophobic surfaces of closely spaced circular bubbles

DOI10.1007/s10665-018-9952-zzbMath1408.76186OpenAlexW2784689453MaRDI QIDQ1616548

Ehud Yariv, Ory Schnitzer

Publication date: 6 November 2018

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10044/1/55717

zbMATH Keywords

singular perturbationslubrication approximationStokes flows

Mathematics Subject Classification ID

Lubrication theory (76D08) Stokes and related (Oseen, etc.) flows (76D07) Liquid-gas two-phase flows, bubbly flows (76T10)

Related Items (6)

Thermocapillary stress and meniscus curvature effects on slip lengths in ridged microchannels ⋮ Analytical models for pressure-driven Stokes flow through superhydrophobic and liquid-infused tubes and annular pipes ⋮ Highly singular slip length for longitudinal shear flow over a dense bubble mattress ⋮ Stokes resistance of a solid cylinder near a superhydrophobic surface. Part 1. Grooves perpendicular to cylinder axis ⋮ Linear instability of lid- and pressure-driven flows in channels textured with longitudinal superhydrophobic grooves ⋮ Effective slip length for transverse shear flow over partially invaded grooves

Cites Work

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• Laminar drag reduction in microchannels using ultrahydrophobic surfaces
• Direct velocity measurements of the flow past drag-reducing ultrahydrophobic surfaces
• Boundary Integral and Singularity Methods for Linearized Viscous Flow
• Effective slip in pressure-driven Stokes flow
• Achieving large slip with superhydrophobic surfaces: Scaling laws for generic geometries
• Exact Formulae for the Effective Slip Length of a Symmetric Superhydrophobic Channel with Flat or Weakly Curved Menisci
• Slip length for longitudinal shear flow over an arbitrary-protrusion-angle bubble mattress: the small-solid-fraction singularity

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