Slip length formulas for longitudinal shear flow over a superhydrophobic grating with partially filled cavities

DOI10.1017/jfm.2021.709zbMath1500.76019OpenAlexW3197379669WikidataQ113858314 ScholiaQ113858314MaRDI QIDQ5154665

Darren G. Crowdy

Publication date: 5 October 2021

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10044/1/90946

zbMATH Keywords

wettingdrag reductioncapillary flowmicrochannel flowwickingfirst-order slip length correction

Mathematics Subject Classification ID

Capillarity (surface tension) for incompressible viscous fluids (76D45) Flow control and optimization for incompressible viscous fluids (76D55)

Related Items (5)

A controllable sliding law for thin-film flows over slippery fluid-saturated substrates: theory and experiments ⋮ Highly singular slip length for longitudinal shear flow over a dense bubble mattress ⋮ Longitudinal flow in superhydrophobic channels with partially invaded grooves ⋮ Superhydrophobic surface immobilisation by insoluble surfactant ⋮ Effective slip length for transverse shear flow over partially invaded grooves

Cites Work

• Flows satisfying mixed no-slip and no-shear conditions
• A note on the effective slip properties for microchannel flows with ultrahydrophobic surfaces
• Effective slip in pressure-driven Stokes flow
• Asymptotic formulae for flow in superhydrophobic channels with longitudinal ridges and protruding menisci
• Frictional slip lengths for unidirectional superhydrophobic grooved surfaces
• Frictional slip lengths and blockage coefficients
• Stokes shear flow over a grating: Implications for superhydrophobic slip
• Perturbation analysis of subphase gas and meniscus curvature effects for longitudinal flows over superhydrophobic surfaces

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