Exact Formulae for the Effective Slip Length of a Symmetric Superhydrophobic Channel with Flat or Weakly Curved Menisci

DOI10.1137/17M1117185zbMath1370.76036MaRDI QIDQ5357134

Jonathan S. Marshall

Publication date: 14 September 2017

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

zbMATH Keywords

Stokes flowconformal mappingslipmicrofluidicssuperhydrophobic surfaces

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07) Conformal mappings of special domains (30C20) Complex variables methods applied to problems in fluid mechanics (76M40)

Related Items (8)

Pressure-driven plug flows between superhydrophobic surfaces of closely spaced circular bubbles ⋮ Thermocapillary flow between longitudinally grooved superhydrophobic surfaces ⋮ Asymptotic Nusselt numbers for internal flow in the Cassie state ⋮ Superhydrophobic annular pipes: a theoretical study ⋮ Stokes resistance of a solid cylinder near a superhydrophobic surface. Part 1. Grooves perpendicular to cylinder axis ⋮ Effects of slowly varying meniscus curvature on internal flows in the Cassie state ⋮ Longitudinal flow in superhydrophobic channels with partially invaded grooves ⋮ Linear instability of lid- and pressure-driven flows in channels textured with longitudinal superhydrophobic grooves

Cites Work

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• Perturbation analysis of subphase gas and meniscus curvature effects for longitudinal flows over superhydrophobic surfaces
• The Schwarz–Christoffel mapping to bounded multiply connected polygonal domains

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