Longitudinal flow in superhydrophobic channels with partially invaded grooves

DOI10.1007/s10665-022-10240-9OpenAlexW4307203284MaRDI QIDQ2098244

Hiroyuki Miyoshi, Henry Rodriguez-Broadbent, Anna Curran, Darren G. Crowdy

Publication date: 17 November 2022

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

Full work available at URL: https://doi.org/10.1007/s10665-022-10240-9

zbMATH Keywords

mixed boundary value problemconformal mapeffective slip lengthflat meniscussymmetric superhydrophobic surface

Mathematics Subject Classification ID

Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing (76B10) Complex variables methods applied to problems in fluid mechanics (76M40)

Related Items (1)

Highly singular slip length for longitudinal shear flow over a dense bubble mattress

Uses Software

• SKPrime
• GitHub

Cites Work

• Unnamed Item
• Computing the Schottky-Klein prime function on the Schottky double of planar domains
• Flows satisfying mixed no-slip and no-shear conditions
• Calculating the lift on a finite stack of cylindrical aerofoils
• A note on the effective slip properties for microchannel flows with ultrahydrophobic surfaces
• Effective slip in pressure-driven Stokes flow
• The Schottky–Klein prime function: a theoretical and computational tool for applications
• Thermocapillary stress and meniscus curvature effects on slip lengths in ridged microchannels
• Solving Problems in Multiply Connected Domains
• Slip length formulas for longitudinal shear flow over a superhydrophobic grating with partially filled cavities
• Frictional slip lengths and blockage coefficients
• Stokes shear flow over a grating: Implications for superhydrophobic slip
• Exact Formulae for the Effective Slip Length of a Symmetric Superhydrophobic Channel with Flat or Weakly Curved Menisci
• Nusselt numbers for Poiseuille flow over isoflux parallel ridges accounting for meniscus curvature
• Perturbation analysis of subphase gas and meniscus curvature effects for longitudinal flows over superhydrophobic surfaces
• Thermocapillary flow between grooved superhydrophobic surfaces: transverse temperature gradients
• The Schwarz problem in multiply connected domains and the Schottky–Klein prime function

This page was built for publication: Longitudinal flow in superhydrophobic channels with partially invaded grooves