期刊
JOURNAL OF FLUID MECHANICS
卷 791, 期 -, 页码 -出版社
CAMBRIDGE UNIV PRESS
DOI: 10.1017/jfm.2016.88
关键词
drag reduction; interfacial flows; superhydrophobic surface
资金
- EPSRC Fellowship [EP/K019430/1]
- Royal Society Wolfson Research Merit Award
- EPSRC grant [EP/K041134/1]
- EPSRC [EP/K041134/1, EP/K019430/1] Funding Source: UKRI
- Engineering and Physical Sciences Research Council [EP/K019430/1, EP/K041134/1] Funding Source: researchfish
This paper reports new analytical formulae for the longitudinal slip lengths for simple shear over a superhydrophobic surface, or bubble mattress, comprising a periodic array of unidirectional circular menisci, or bubbles, protruding into, or out of, the fluid. The accuracy of the formulae is tested against results from full numerical simulations; they are found to give small relative errors even at large no-shear fractions. In the dilute limit the formulae reduce to an earlier result by Crowdy (Phys. Fluids, vol. 22, 2010, 121703). They also extend analytical results of Sbragaglia & Prosperetti (Phys. Fluids, vol. 19, 2007, 043603) beyond the limit of a small protrusion angle.
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