A note on the effective slip properties for microchannel flows with ultrahydrophobic surfaces

By Mauro Sbragaglia, Andrea Prosperetti. 2006

218 citations recorded by the source corpus.

A type of superhydrophobic surface consists of a solid plane boundary with an array of grooves which, due to the effect of surface tension, prevent a complete wetting of the wall. The effect is greatest when the grooves are aligned with the flow. The pressure difference between the liquid and the gas in the grooves causes a curvature of the liquid surface resisted by surface tension. The effects of this surface deformation are studied in this paper. The corrections to the effective slip length produced by the curvature are analyzed theoretically and a comparison with available data and related mathematical models is presented.

Subfields: Computational Mechanics, Surfaces, Coatings and Films

View Paper: https://www.semanticscholar.org/paper/62dbdefd9b0dafd52760b60a52cbb3d2a528b49d

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In Computational Mechanics

In Surfaces, Coatings and Films

Citations in the corpus

Slip on Superhydrophobic Surfaces (2010, result): “Sbragaglia & Prosperetti (2007) found similar results for the ﬂow past microridges supporting deformed interfaces.”
Effective slip in pressure-driven flow past super-hydrophobic stripes (2009, background): “…flow has been analysed for an idealized case of a perfect slip at the gas area (Philip 1972; Lauga & Stone 2003; Cottin-Bizonne et al. 2004; Sbragaglia & Prosperetti 2007) and led to b⊥eff = L 2π ln [ sec ( πφ2 2 )] and b ‖ eff = 2b ⊥ eff , (1.1) where φ2 = δ/L denotes the fraction of the…”
Analysis of Stokes flow in microchannels with superhydrophobic surfaces containing a periodic array of micro-grooves (2009, methodology): “Analytical solutions for the Stokes flow through microchannels with superhydrophobic surfaces incorporating ribs and grooves patterned parallel to the flow direction on one of the channel walls have been obtained by Sbragaglia and Prosperetti (2007) , who further extended the analysis to account fo”
Tensorial hydrodynamic slip (2008, background): “…departures from our predictions could be used to isolate nonlinear, inhomogeneous, or non-symmetric slip response, e.g. due to nanobubble deformation at superhydrophobic surface (Sbragaglia & Prosperetti 2007), surface curvature (Vinogradova 1995), or variable channel width (Lauga et al. 2004).”
Flow past superhydrophobic surfaces containing longitudinal grooves: effects of interface curvature (2010, methodology): “shown in Figure 13(b), consistent with the notion that for large values of L, the modification of the flow cross sectional area due to interface curvature plays a more crucial role than effects due to modification of the velocity field, as suggested by Sbragaglia and Prosperetti (2007). The results ”
Superhydrophobic drag reduction in laminar flows: a critical review (2016, background): “…(Philip 1972a, b), many analytical models about slip lengths on simple SHPo surfaces have been developed (Lauga and Stone 2003; Ybert et al. 2007; Sbragaglia and Prosperetti 2007a, b; Davis and Lauga 2009a, b; Feuillebois et al. 2009; Belyaev and Vinogradova 2010a, b; Davis and Lauga 2010;…”